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On coupled Gronwall inequalities involving a $ \psi $-fractional integral operator with its applications AIMS Math. (IF 2.2) Pub Date : 2022-02-18 Dinghong Jiang, Chuanzhi Bai
In this paper, we obtain a new generalized coupled Gronwall inequality through the Caputo fractional integral with respect to another function $ \psi $. Based on this result, we prove the existence and uniqueness of solutions for nonlinear delay coupled $ \psi $-Caputo fractional differential system. Moreover, the Ulam-Hyers stability of solutions for $ \psi $-Caputo fractional differential system
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On certain inclusion relations of functions with bounded rotations associated with Mittag-Leffler functions AIMS Math. (IF 2.2) Pub Date : 2022-02-18 Bushra Kanwal, Saqib Hussain, Thabet Abdeljawad
Inspired essentially by the excellence of the implementations of the Mittag-Leffler functions in numerous areas of science and engineering, the authors present, in a unified manner, a detailed account of the Mittag-Leffler function and generalized Mittag-Leffler functions and their interesting and useful characteristics. Besides that, we have used generalized Mittag-Leffler functions to define some
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On the reach and the smoothness class of pipes and offsets: a survey AIMS Math. (IF 2.2) Pub Date : 2022-02-18 Javier Sánchez-Reyes, Leonardo Fernández-Jambrina
Pipes and offsets are the sets obtained by displacing the points of their progenitor $ S $ (i.e., spine curve or base surface, respectively) a constant distance $ d $ along normal lines. We review existing results and elucidate the relationship between the smoothness of pipes/offsets and the reach $ R $ of the progenitor, a fundamental concept in Federer's celebrated paper where he introduced the family
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To investigate a class of multi-singular pointwise defined fractional $ q $–integro-differential equation with applications AIMS Math. (IF 2.2) Pub Date : 2022-02-18 Mohammad Esmael Samei, Lotfollah Karimi, Mohammed K. A. Kaabar
In the research work, we discuss a multi-singular pointwise defined fractional $ q $–integro-differential equation under some boundary conditions via the Riemann-Liouville $ q $–integral and Caputo fractional $ q $–derivatives. New existence results rely on the $ \alpha $-admissible map and fixed point theorem for $ \alpha $-$ \mathtt{ψ} $-contraction map. At the end, we present an example with application
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Liftings of metallic structures to tangent bundles of order $ r $ AIMS Math. (IF 2.2) Pub Date : 2022-02-18 Mohammad Nazrul Islam Khan, Uday Chand De
It is well known that the prolongation of an almost complex structure from a manifold $ M $ to the tangent bundle of order $ r $ on $ M $ is also an almost complex structure if it is integrable. The general quadratic structure $ F^2 = \alpha F+\beta I $ is a generalization of an almost complex structure where $ \alpha = 0, \; \beta = -1. $ The purpose of this paper is to characterize a metallic structure
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On a novel impulsive boundary value pantograph problem under Caputo proportional fractional derivative operator with respect to another function AIMS Math. (IF 2.2) Pub Date : 2022-02-18 Songkran Pleumpreedaporn, Chanidaporn Pleumpreedaporn, Weerawat Sudsutad, Jutarat Kongson, Chatthai Thaiprayoon, Jehad Alzabut
In this manuscript, we study the existence and Ulam's stability results for impulsive multi-order Caputo proportional fractional pantograph differential equations equipped with boundary and integral conditions with respect to another function. The uniqueness result is proved via Banach's fixed point theorem, and the existence results are based on Schaefer's fixed point theorem. In addition, the Ulam-Hyers
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Chebyshev fifth-kind series approximation for generalized space fractional partial differential equations AIMS Math. (IF 2.2) Pub Date : 2022-02-18 Khalid K. Ali, Mohamed A. Abd El Salam, Mohamed S. Mohamed
In this paper, we propose a numerical scheme to solve generalized space fractional partial differential equations (GFPDEs). The proposed scheme uses Shifted Chebyshev fifth-kind polynomials with the spectral collocation approach. Besides, the proposed GFPDEs represent a great generalization of significant types of fractional partial differential equations (FPDEs) and their applications, which contain
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Commuting H-Toeplitz operators with quasihomogeneous symbols AIMS Math. (IF 2.2) Pub Date : 2022-02-18 Jinjin Liang, Liling Lai, Yile Zhao, Yong Chen
In this paper, we characterize the commutativity of H-Toeplitz operators with quasihomogeneous symbols on the Bergman space, which is different from the case of Toeplitz operators with same symbols on the Bergman space.
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Nonlinear analysis of a nonlinear modified KdV equation under Atangana Baleanu Caputo derivative AIMS Math. (IF 2.2) Pub Date : 2022-02-18 Shabir Ahmad, Fathalla Ali Rihan, Aman Ullah, Qasem M. Al-Mdallal, Ali Akgül
The focus of the current manuscript is to provide a theoretical and computational analysis of the new nonlinear time-fractional (2+1)-dimensional modified KdV equation involving the Atangana-Baleanu Caputo ($ \mathcal{ABC} $) derivative. A systematic and convergent technique known as the Laplace Adomian decomposition method (LADM) is applied to extract a semi-analytical solution for the considered
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Conjugacy classes of left ideals of Sweedler's four-dimensional algebra $ H_{4} $ AIMS Math. (IF 2.2) Pub Date : 2022-02-17 Fengxia Gao, Jialei Chen
Let $ A $ be a finite-dimensional algebra with identity over the field $ \mathbb{F} $, $ U(A) $ be the group of units of $ A $ and $ L(A) $ be the set of left ideals of $ A $. It is well known that there is an equivalence relation $ \sim $ on $ L(A) $ by defining $ L_1\sim L_2\in L(A) $ if and only if there exists some $ u\in U(A) $ such that $ L_{1} = L_{2}u $. $ C(A) = \{[L]|L\in L(A)\} $ is the
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Existence of solutions to a class of damped random impulsive differential equations under Dirichlet boundary value conditions AIMS Math. (IF 2.2) Pub Date : 2022-02-17 Song Wang, Xiao-Bao Shu, Linxin Shu
In this paper, we study sufficient conditions for the existence of solutions to a class of damped random impulsive differential equations under Dirichlet boundary value conditions. By using variational method we first obtain the corresponding energy functional. Then the existence of critical points are obtained by using Mountain pass lemma and Minimax principle. Finally we assert the critical point
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Discussion on boundary controllability of nonlocal fractional neutral integrodifferential evolution systems AIMS Math. (IF 2.2) Pub Date : 2022-02-16 Yong-Ki Ma, Kamalendra Kumar, Rakesh Kumar, Rohit Patel, Anurag Shukla, Velusamy Vijayakumar
In the present work, we have established sufficient conditions for boundary controllability of nonlocal fractional neutral integrodifferential evolution systems with time-varying delays in Banach space. The outcomes are obtained by applying the fractional theory and Banach fixed point theorem. At last, we give an application for the validation of the theoretical results.
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Existence and essential stability of Nash equilibria for biform games with Shapley allocation functions AIMS Math. (IF 2.2) Pub Date : 2022-02-16 Chenwei Liu, Shuwen Xiang, Yanlong Yang
We define the Shapley allocation function (SAF) based on the characteristic function on a set of strategy profiles composed of infinite strategies to establish an n-person biform game model. It is the extension of biform games with finite strategies and scalar strategies. We prove the existence of Nash equilibria for this biform game with SAF, provided that the characteristic function satisfies the
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Weighted composite asymmetric Huber estimation for partial functional linear models AIMS Math. (IF 2.2) Pub Date : 2022-02-16 Juxia Xiao, Ping Yu, Zhongzhan Zhang
In this paper, we first investigate a new asymmetric Huber regression (AHR) estimation procedure to analyze skewed data with partial functional linear models. To automatically reflect distributional features as well as bound the influence of outliers effectively, we further propose a weighted composite asymmetric Huber regression (WCAHR) estimation procedure by combining the strength across multiple
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Coupled fixed point theorems on $ \mathcal{C}^\star $-algebra valued bipolar metric spaces AIMS Math. (IF 2.2) Pub Date : 2022-02-15 Gunaseelan Mani, Arul Joseph Gnanaprakasam, Absar Ul Haq, Imran Abbas Baloch, Fahd Jarad
In the present paper, we introduce the notion of a $ \mathcal{C}^{\star} $-algebra valued bipolar metric space and prove coupled fixed point theorems. Some of the well-known outcomes in the literature are generalized and expanded by the results shown. An example and application to support our result is presented.
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Dual group inverses of dual matrices and their applications in solving systems of linear dual equations AIMS Math. (IF 2.2) Pub Date : 2022-02-15 Jin Zhong, Yilin Zhang
In this paper, we study a kind of dual generalized inverses of dual matrices, which is called the dual group inverse. Some necessary and sufficient conditions for a dual matrix to have the dual group inverse are given. If one of these conditions is satisfied, then compact formulas and efficient methods for the computation of the dual group inverse are given. Moreover, the results of the dual group
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Characterization of extension map on fuzzy weakly cut-stable map AIMS Math. (IF 2.2) Pub Date : 2022-02-15 Nana Ma, Qingjun Luo, Geni Xu
In this paper, based on a complete residuated lattice, we propose the definition of fuzzy weakly cut-stable map and prove the extension property of the fuzzy weakly cut-stable map. Following this, it is explored the conditions under which the extension map to be fuzzy order isomorphism.
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An efficient spectral-Galerkin method for a new Steklov eigenvalue problem in inverse scattering AIMS Math. (IF 2.2) Pub Date : 2022-02-15 Shixian Ren, Yu Zhang, Ziqiang Wang
An efficient spectral method is proposed for a new Steklov eigenvalue problem in inverse scattering. Firstly, we establish the weak form and the associated discrete scheme by introducing an appropriate Sobolev space and a corresponding approximation space. Then, according to the Fredholm Alternative, the corresponding operator forms of weak formulation and discrete formulation are derived. After that
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A quintuple integral involving the product of Hermite polynomial $ H_{n}(\beta x) $ and parabolic cylinder function $ D_{v}(\alpha t) $: derivation and evaluation AIMS Math. (IF 2.2) Pub Date : 2022-02-14 Robert Reynolds, Allan Stauffer
In this paper, we derive an integral transform involving the product of Hermite polynomial $ H_{n}(\beta x) $ and parabolic cylinder function $ D_{v}(\alpha t) $. These integral transforms will be evaluated in terms of Lerch function. Various formulae are also evaluated in terms of special functions to complete this paper. All the results in this paper are new.
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The complex Hessian quotient flow on compact Hermitian manifolds AIMS Math. (IF 2.2) Pub Date : 2022-02-14 Jundong Zhou, Yawei Chu
In this paper, we consider the parabolic Hessian quotient equation on compact Hermitian manifolds. By setting up a priori estimates of the admissible solutions, we prove the long-time existence of the solution to the parabolic Hessian quotient equation and its convergence. As an application, we show the solvability of a class of complex Hessian quotient equations, which generalizes the relevant results
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Dynamical behavior of a stochastic predator-prey model with Holling-type III functional response and infectious predator AIMS Math. (IF 2.2) Pub Date : 2022-02-14 Chuangliang Qin, Jinji Du, Yuanxian Hui
In this paper, we formulate a stochastic predator-prey model with Holling III type functional response and infectious predator. By constructing Lyapunov functions, we prove the global existence and uniqueness of the positive solution of the model, and establish the ergodic stationary distribution of the positive solution, which indicates that both the prey and predator will coexist for a long time
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Characterizations of local Lie derivations on von Neumann algebras AIMS Math. (IF 2.2) Pub Date : 2022-02-14 Guangyu An, Xueli Zhang, Jun He, Wenhua Qian
In this paper, we prove that every local Lie derivation on von Neumann algebras is a Lie derivation; and we show that if $ \mathcal M $ is a type I von Neumann algebra with an atomic lattice of projections, then every local Lie derivation on $ LS(\mathcal M) $ is a Lie derivation.
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Dynamic study of the pathogen-immune system interaction with natural delaying effects and protein therapy AIMS Math. (IF 2.2) Pub Date : 2022-02-14 Yuliana Jao, Nur Erawaty
This study aims to propose and analyze a mathematical model of the competitive interaction of the pathogen-immune system. Some effects of the existence of natural delays and the addition of therapeutic proteins are considered in the model. A delay arises from the indirect response of the host body when a pathogen invades. The other comes from the maturation of immune cells to produce immune memory
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Nonlinear higher order fractional terminal value problems AIMS Math. (IF 2.2) Pub Date : 2022-02-14 Dumitru Baleanu, Babak Shiri
Terminal value problems for systems of fractional differential equations are studied with an especial focus on higher-order systems. Discretized piecewise polynomial collocation methods are used for approximating the exact solution. This leads to solving a system of nonlinear equations. For solving such a system an iterative method with a required tolerance is introduced and analyzed. The existence
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On soliton solutions of fractional-order nonlinear model appears in physical sciences AIMS Math. (IF 2.2) Pub Date : 2022-02-14 Naeem Ullah, Muhammad Imran Asjad, Jan Awrejcewicz, Taseer Muhammad, Dumitru Baleanu
In wave theory, the higher dimensional non-linear models are very important to define the physical phenomena of waves. Herein study we have built the various solitons solutions of (4+1)-dimensional fractional-order Fokas equation by using two analytical techniques that is, the Sardar-subequation method and new extended hyperbolic function method. Different types of novel solitons are attained such
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An improved upper bound for the dynamic list coloring of 1-planar graphs AIMS Math. (IF 2.2) Pub Date : 2022-02-12 Xiaoxue Hu, Jiangxu Kong
A graph is $ 1 $-planar if it can be drawn in the plane such that each of its edges is crossed at most once. A dynamic coloring of a graph $ G $ is a proper vertex coloring such that for each vertex of degree at least 2, its neighbors receive at least two different colors. The list dynamic chromatic number $ ch_{d}(G) $ of $ G $ is the least number $ k $ such that for any assignment of $ k $-element
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Approximate solution of nonlinear fuzzy Fredholm integral equations using bivariate Bernstein polynomials with error estimation AIMS Math. (IF 2.2) Pub Date : 2022-02-12 Sima Karamseraji, Shokrollah Ziari, Reza Ezzati
This paper is concerned with obtaining approximate solutions of fuzzy Fredholm integral equations using Picard iteration method and bivariate Bernstein polynomials. We first present the way to approximate the value of the multiple integral of any fuzzy-valued function based on the two dimensional Bernstein polynomials. Then, it is used to construct the numerical iterative method for finding the approximate
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One step proximal point schemes for monotone vector field inclusion problems AIMS Math. (IF 2.2) Pub Date : 2022-02-12 Sani Salisu, Poom Kumam, Songpon Sriwongsa
In this paper, we propose one step convex combination of proximal point algorithms for countable collection of monotone vector fields in CAT(0) spaces. We establish $ \Delta $-convergence and strong convergence theorems for approximating a common solution of a countable family of monotone vector field inclusion problems. Furthermore, we apply our methods to solve a family of minimization problems,
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On the dynamics of the nonlinear rational difference equation $ { x_{n+1}} = \frac{{\alpha {x_{n-m}}} \ \ + \ \ \delta {{x_{n}}}}{{\beta +\gamma {x_{n-k}} \ \ { x_{n-l}} \ \ \left({{x_{n-k}} \ \ + \ \ {x_{n-l}}} \ \ \right) }} $ AIMS Math. (IF 2.2) Pub Date : 2022-02-12 A. M. Alotaibi, M. A. El-Moneam
In this paper, we discuss some qualitative properties of the positive solutions to the following rational nonlinear difference equation $ { x_{n+1}} = \frac{{\alpha {x_{n-m}}} \ \ + \ \ \delta {{x_{n}}}}{{\beta +\gamma {x_{n-k}} \ \ { x_{n-l}} \ \ \left({{x_{n-k}} \ \ + \ \ {x_{n-l}}} \ \ \right) }} $, $ n = 0, 1, 2, ... $ where the parameters $ \alpha, \beta, \gamma, \delta \in (0, \infty) $, while
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Eigenvalues of fourth-order boundary value problems with distributional potentials AIMS Math. (IF 2.2) Pub Date : 2022-02-12 Hai-yan Zhang, Ji-jun Ao, Fang-zhen Bo
This paper aims to investigate the fourth-order boundary value problems with distributional potentials. We first prove that the operators associated with the problems are self-adjoint and the corresponding eigenvalues are real. Then we obtain that the eigenvalues of the problems depend not only continuously but also smoothly on the parameters of the problems: the boundary conditions, the coefficient
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Analysis of a derivative with two variable orders AIMS Math. (IF 2.2) Pub Date : 2022-02-12 Abdon Atangana, Ali Akgül
In this paper, we investigate a derivative with the two variable orders. The first one shows the variable order fractal dimension and the second one presents the fractional order. We consider these derivatives with the power law kernel, exponential decay kernel and Mittag-Leffler kernel. We give the theory of this derivative in details. We also present the numerical approximation. The results we obtained
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Simultaneous variable selection and estimation for longitudinal ordinal data with a diverging number of covariates AIMS Math. (IF 2.2) Pub Date : 2022-02-12 Xianbin Chen, Juliang Yin
In this paper, we study the problem of simultaneous variable selection and estimation for longitudinal ordinal data with high-dimensional covariates. Using the penalized generalized estimation equation (GEE) method, we obtain some asymptotic properties for these types of data in the case that the dimension of the covariates $ p_n $ tends to infinity as the number of cluster $ n $ approaches to infinity
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On the exponential Diophantine equation $ (a(a-l)m^{2}+1)^{x}+(alm^{2}-1)^{y} = (am)^{z} $ AIMS Math. (IF 2.2) Pub Date : 2022-02-12 Jinyan He, Jiagui Luo, Shuanglin Fei
Suppose that $ a $, $ l $, $ m $ are positive integers with $ a\equiv1\pmod2 $ and $ a^{2}m^{2}\equiv-2\pmod p $, where $ p $ is a prime factor of $ l $. In this paper, we prove that the title exponential Diophantine equation has only the positive integer solution $ (x, y, z) = (1, 1, 2) $. As an another result, we show that if $ a = l $, then the title equation has positive integer solutions $ (x
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Completeness of metric spaces and existence of best proximity points AIMS Math. (IF 2.2) Pub Date : 2022-02-12 Arshad Ali Khan, Basit Ali, Talat Nazir, Manuel de la Sen
In this paper, we discuss the existence of best proximity points of new generalized proximal contractions of metric spaces. Moreover, we obtain a completeness characterization of underlying metric space via the best proximity points. Some new best proximity point theorems have been derived as consequences of main results in (partially ordered) metric spaces.
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Numerical solution of non-linear Bratu-type boundary value problems via quintic B-spline collocation method AIMS Math. (IF 2.2) Pub Date : 2022-02-12 Ram Kishun Lodhi, Saud Fahad Aldosary, Kottakkaran Sooppy Nisar, Ateq Alsaadi
This study presents a quintic B-spline collocation method (QBSCM) for finding the numerical solution of non-linear Bratu-type boundary value problems (BVPs). The error analysis of the QBSCM is studied, and it provides fourth-order convergence results. QBSCM is applied on two numerical examples to exhibit the proficiency and order of convergence. Obtain results of the QBSCM are compared with other existing
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Global existence of classical solutions for the 2D chemotaxis-fluid system with logistic source AIMS Math. (IF 2.2) Pub Date : 2022-02-12 Yina Lin, Qian Zhang, Meng Zhou
In this paper, we consider the incompressible chemotaxis-Navier-Stokes equations with logistic source in spatial dimension two. We first show a blow-up criterion and then establish the global existence of classical solutions to the system for the Cauchy problem under some rough conditions on the initial data.
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A novel application on mutually orthogonal graph squares and graph-orthogonal arrays AIMS Math. (IF 2.2) Pub Date : 2022-02-12 A. El-Mesady, Y. S. Hamed, Khadijah M. Abualnaja
Security of personal information has become a major concern due to the increasing use of the Internet by individuals in the digital world. The main purpose here is to prevent an unauthorized person from gaining access to confidential information. The solution to such a problem is by authentication of users. Authentication has a very important role in achieving security. Mutually orthogonal graph squares
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Involvement of the fixed point technique for solving a fractional differential system AIMS Math. (IF 2.2) Pub Date : 2022-02-11 Hasanen A. Hammad, Manuel De la Sen
Some physical phenomena were described through fractional differential equations and compared with integer-order differential equations which have better results, which is why researchers of different areas have paid great attention to study this direction. So, in this manuscript, we discuss the existence and uniqueness of solutions to a system of fractional deferential equations (FDEs) under Riemann-Liouville
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A note on the preconditioned tensor splitting iterative method for solving strong $ \mathcal{M} $-tensor systems AIMS Math. (IF 2.2) Pub Date : 2022-02-11 Qingbing Liu, Aimin Xu, Shuhua Yin, Zhe Tu
In this note, we present a new preconditioner for solving the multi-linear systems, which arise from many practical problems and are different from the traditional linear systems. Based on the analysis of the spectral radius, we give new comparison results between some preconditioned tensor splitting iterative methods. Numerical examples are given to demonstrate the efficiency of the proposed preconditioned
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Mathematical study for Zika virus transmission with general incidence rate AIMS Math. (IF 2.2) Pub Date : 2022-02-11 Ahmed Alshehri, Miled El Hajji
An appropriate mathematical model for describing the Zika virus transmission with nonlinear general incidence rate was proposed. The basic reproduction number $ \mathcal{R}_0 $ was calculated using the next generation matrix method. Analysis of the local and the global stability of the equilibrium points was detailed using Jacobian linearisation method and Lyapunov theory, respectively. We proved that
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Mathematical assessment of the dynamics of the tobacco smoking model: An application of fractional theory AIMS Math. (IF 2.2) Pub Date : 2022-02-11 Peijiang Liu, Taj Munir, Ting Cui, Anwarud Din, Peng Wu
In this paper we consider fractional-order mathematical model describing the spread of the smoking model in the sense of Caputo operator with tobacco in the form of snuffing. The threshold quantity $ \mathcal{R}_0 $ and equilibria of the model are determined. We prove the existence of the solution via fixed-point theory and further examine the uniqueness of of the solution of the considered model.
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Existence of ground state solutions for the modified Chern-Simons-Schrödinger equations with general Choquard type nonlinearity AIMS Math. (IF 2.2) Pub Date : 2022-02-11 Yingying Xiao, Chuanxi Zhu, Li Xie
In this paper, we are concerned with the following modified Schrödinger equation \begin{document}$ \begin{array}{l} -\Delta u+V(|x|)u-\kappa u\Delta(u^2)+ \\ \qquad\qquad\qquad q\frac{h^2(|x|)}{|x|^2}(1+\kappa u^2)u\ + q\left(\int_{|x|}^{+\infty}\frac{h(s)}{s}(2+\kappa u^2(s))u^2(s){\rm{d}}s\right) u = (I_\alpha\ast F(u))f(u), \, \, x\in {\mathbb R}^2, \end{array} $\end{document} where $ \kappa $,
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Generalizations of Ostrowski type inequalities via $ F $-convexity AIMS Math. (IF 2.2) Pub Date : 2022-02-11 Alper Ekinci, Erhan Set, Thabet Abdeljawad, Nabil Mlaiki
The aim of this article is to give new generalizations of both the Ostrowski's inequality and some of its new variants with the help of the $ F $-convex function class, which is a generalization of the strongly convex functions. Young's inequality, which is well known in the literature, as well as Hölder's inequality, was used to obtain the new results. Also we obtain some results for convex and strongly
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Modified inertial Ishikawa iterations for fixed points of nonexpansive mappings with an application AIMS Math. (IF 2.2) Pub Date : 2022-02-10 Hasanen A. Hammad, Hassan Almusawa
This manuscript aims to prove that the sequence $ \{\nu _{n}\} $ created iteratively by a modified inertial Ishikawa algorithm converges strongly to a fixed point of a nonexpansive mapping $ Z $ in a real uniformly convex Banach space with uniformly Gâteaux differentiable norm. Moreover, zeros of accretive mappings are obtained as an application. Our results generalize and improve many previous results
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An alternative opportunity of future Psyche mission using differential evolution and gravity assists AIMS Math. (IF 2.2) Pub Date : 2022-02-10 Vijil Kumar, Badam Singh Kushvah, Mai Bando
NASA's Psyche mission will launch in August 2022 and begin a journey of 3.6 years to the metallic asteroid: Psyche, where it will orbits and examine this unique body. This paper presents an alternative opportunity of the Psyche mission as well as the return opportunity to the Earth. It uses Mars's gravity assists to rendezvous with and orbits to the largest metal asteroid in the solar system. The spacecraft
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Unicity of solution for a semi-infinite inverse heat source problem AIMS Math. (IF 2.2) Pub Date : 2022-02-10 Zui-Cha Deng, Liu Yang
A semi-infinite inverse source problem in heat conduction equations is considered, where the source term is assumed to be compactly supported in the region. After introducing a suitable artificial boundary, the semi-infinite problem is transformed into a bounded one and the corresponding exact expression of the boundary condition is derived. Then we rigorously prove the uniqueness of the solution of
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Hermite-Hadamard and Ostrowski type inequalities in $ \mathfrak{h} $-calculus with applications AIMS Math. (IF 2.2) Pub Date : 2022-02-10 Miguel Vivas-Cortez, Muhammad Aamir Ali, Ghulam Murtaza, Ifra Bashir Sial
In this paper, we prove Hermite-Hadamard inequality for convex functions in the framework of $ \mathfrak{h} $-calculus. We also use the notions of $ \mathfrak{h} $-derivative and $ \mathfrak{h} $-integral to prove Ostrowski's and trapezoidal type inequalities for bounded functions. It is also shown that the newly established inequalities are the generalization of the comparable inequalities in the
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Asymptotic behavior of a generalized functional equation AIMS Math. (IF 2.2) Pub Date : 2022-02-10 Mohammad Amin Tareeghee, Abbas Najati, Batool Noori, Choonkil Park
In this paper, we investigate the Hyers-Ulam stability problem of the following functional equation \begin{document}$ f(x+y)+g(x-y) = h(x)+k(y), $\end{document} on an unbounded restricted domain, which generalizes some of the results already obtained by other authors (for example [9,Theorem 2], [11,Theorem 5] and [21,Theorem 2]). Particular cases of this functional equation are Cauchy, Jensen, quadratic
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The generalization of Hermite-Hadamard type Inequality with exp-convexity involving non-singular fractional operator AIMS Math. (IF 2.2) Pub Date : 2022-02-10 Muhammad Imran Asjad, Waqas Ali Faridi, Mohammed M. Al-Shomrani, Abdullahi Yusuf
The theory of convex function has a lot of applications in the field of applied mathematics and engineering. The Caputo-Fabrizio non-singular operator is the most significant operator of fractional theory which permits to generalize the classical theory of differentiation. This study consider the well known Hermite-Hadamard type and associated inequalities to generalize further. To full fill this mileage
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Computing vertex resolvability of benzenoid tripod structure AIMS Math. (IF 2.2) Pub Date : 2022-02-10 Maryam Salem Alatawi, Ali Ahmad, Ali N. A. Koam, Sadia Husain, Muhammad Azeem
In this paper, we determine the exact metric and fault-tolerant metric dimension of the benzenoid tripod structure. We also computed the generalized version of this parameter and proved that all the parameters are constant. Resolving set $ {L} $ is an ordered subset of nodes of a graph $ {C} $, in which each vertex of $ {C} $ is distinctively determined by its distance vector to the nodes in $ {L}
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Ricci curvature of semi-slant warped product submanifolds in generalized complex space forms AIMS Math. (IF 2.2) Pub Date : 2022-02-10 Ali H. Alkhaldi, Meraj Ali Khan, Shyamal Kumar Hui, Pradip Mandal
The objective of this paper is to achieve the inequality for Ricci curvature of a semi-slant warped product submanifold isometrically immersed in a generalized complex space form admitting a nearly Kaehler structure in the expressions of the squared norm of mean curvature vector and warping function. In addition, the equality case is likewise discussed. We provide numerous physical applications of
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Neighbor full sum distinguishing total coloring of Halin graphs AIMS Math. (IF 2.2) Pub Date : 2022-01-28 Yinwan Cheng, Chao Yang, Bing Yao, Yaqin Luo
Let $ f: V(G)\cup E(G)\rightarrow \{1, 2, \dots, k\} $ be a total $ k $ -coloring of $ G $. Define a weight function on total coloring as \begin{document} $ \phi(x) = f(x)+\sum\limits_{e\ni x}f(e)+\sum\limits_{y\in N(x)}f(y), $ \end{document} where $ N(x) = \{y\in V(G)|xy\in E(G)\} $. If $ \phi(x)\neq \phi(y) $ for any edge $ xy\in E(G) $, then $ f $ is called a neighbor full sum distinguishing total
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Analytical investigation of fractional-order Newell-Whitehead-Segel equations via a novel transform AIMS Math. (IF 2.2) Pub Date : 2022-01-28 Mounirah Areshi, Adnan Khan, Rasool Shah, Kamsing Nonlaopon
In this paper, we find the solution of the time-fractional Newell-Whitehead-Segel equation with the help of two different methods. The newell-Whitehead-Segel equation plays an efficient role in nonlinear systems, describing the stripe patterns' appearance in two-dimensional systems. Four case study problems of Newell-Whitehead-Segel are solved by the proposed methods with the aid of the Antagana-Baleanu
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Analysis and profiles of travelling wave solutions to a Darcy-Forchheimer fluid formulated with a non-linear diffusion AIMS Math. (IF 2.2) Pub Date : 2022-01-28 S. Rahman, J. L. Díaz Palencia, J. Roa González
The intention along the presented analysis is to explore existence, uniqueness, regularity of solutions and travelling waves profiles to a Darcy-Forchheimer fluid flow formulated with a non-linear diffusion. Such formulation is the main novelty of the present study and requires the introduction of an appropriate mathematical treatment to deal with the introduced degenerate diffusivity. Firstly, the
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Stochastic comparisons of extreme order statistic from dependent and heterogeneous lower-truncated Weibull variables under Archimedean copula AIMS Math. (IF 2.2) Pub Date : 2022-01-26 Xiao Zhang, Rongfang Yan
This article studies the stochastic comparisons of order statistics with dependent and heterogeneous lower-truncated Weibull samples under Archimedean copula. To begin, we obtain the usual stochastic and hazard rate orders of the largest and smallest order statistics from heterogeneous and dependent lower-truncated Weibull samples under Archimedean copula. Second, under Archimedean copula, we get the
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The method of fundamental solutions for analytic functions in complex analysis AIMS Math. (IF 2.2) Pub Date : 2022-01-26 Xiaoguang Yuan, Quan Jiang, Zhidong Zhou, Fengpeng Yang
This paper extends the method of fundamental solutions (MFS) for solving the boundary value problems of analytic functions based on Cauchy-Riemann equations and properties of harmonic functions. The conformal mapping technique is applied to introduce the singularities of the approximate analytic functions and reconstruct the fundamental solutions. The presented method can naturally introduce the information
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Global behavior of solutions to an SI epidemic model with nonlinear diffusion in heterogeneous environment AIMS Math. (IF 2.2) Pub Date : 2022-01-26 Shenghu Xu, Xiaojuan Li
In this paper, a nonlinear diffusion SI epidemic model with a general incidence rate in heterogeneous environment is studied. Global behavior of classical solutions under certain restrictions on the coefficients is considered. We first establish the global existence of classical solutions of the system under heterogeneous environment by energy estimate and maximum principles. Based on such estimates
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A greedy average block Kaczmarz method for the large scaled consistent system of linear equations AIMS Math. (IF 2.2) Pub Date : 2022-01-26 Li Wen, Feng Yin, Yimou Liao, Guangxin Huang
This paper presents a greedy average block Kaczmarz (GABK) method to solve the large scaled consistent system of linear equations. The GABK method introduces the strategy of extrapolation process to improve the GBK algorithm and to avoid computing the Moore-Penrose inverse of a submatrix of the coefficient matrix determined by the block index set. The GABK method is proved to converge linearly to the
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Infinite growth of solutions of second order complex differential equations with meromorphic coefficients AIMS Math. (IF 2.2) Pub Date : 2022-01-26 Zheng Wang, Zhi Gang Huang
This paper is devoted to studying the growth of solutions of $ f''+A(z)f'+B(z)f = 0 $, where $ A(z) $ and $ B(z) $ are meromorphic functions. With some additional conditions, we show that every non-trivial solution $ f $ of the above equation has infinite order. In addition, we also obtain the lower bound of measure of the angular domain, in which the radial order of $ f $ is infinite.
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Mathematical modeling and analysis of biological control strategy of aphid population AIMS Math. (IF 2.2) Pub Date : 2022-01-26 Mingzhan Huang, Shouzong Liu, Ying Zhang
To study the biological control strategy of aphids, in this paper we propose host-parasitoid-predator models for the interactions among aphids, parasitic wasps and aphidophagous Coccinellids incorporating impulsive releases of Coccinellids, and then study the long-term control and limited time optimal control of aphids by adjusting release amount and release timing of Coccinellids. For the long-term