In the current investigation, we introduce a generalized modified model of thermoviscoelasticity with different fractional orders. Based on the Kelvin–Voigt model and generalized thermoelasticity theory with multi-phase-lags, the governing system equations are derived. In limited cases, the proposed model is reduced to several previous models in the presence and absence of fractional derivatives. The

We use a recently found method to characterise all the invertible fourth-order difference equations linear in the extremal values based on the existence of a discrete Lagrangian. We also give some result on the integrability properties of the obtained family and we put it in relation with known classifications. Finally, we discuss the continuum limits of the integrable cases.

In this study, the time-dependent incompressible 3D solid–liquid Williamson non-Newtonian fluid for momentum and heat flow is evaluated. Flow is generated through a sheet in both x and y directions and effected by MHD, dust particles and nonlinear thermal radiations. Problem controlling partial differential equations are converted into ordinary differential equations by using appropriate transformations

The reason of similarity between articles [1] and [2] (in below) is that both articles have been derived from master's thesis of Mr. M. Ezzatabadipour with Mr. M. M. Keshtkar as supervisor. The goal of this erratum is to include the name of Mr. M. M. Keshtkar as third author.

We report on the \(U_{A}(1)\) symmetry restoration resulting due to temperature dependence of the coefficient c(T) for the Kobayashi–Maskawa–’t Hooft determinant (KMT) term in a modified \(2+1\) flavor Polyakov loop quark–meson model having fermionic vacuum correction term. Temperature dependence of KMT coupling c(T) drives the nonstrange condensate melting to significantly smaller temperatures in

In this work, we study the mechanism of the nuclear reaction of \(^{11}\)B ion with \(^{181}\)Ta and \(^{209}\)Bi targets at intermediate energies and analyze the nuclear reaction processes starting from the initial nucleus–nucleus collision up to the fragments production. The experimental data are derived from the literature Karapetyan et al. (Phys Rev C 94: 024618, 2016). A new branch of CRISP model

The mass-spring-damper system has the minimum complexity scenario which characterizes almost all the mechanical vibration phenomena. Also it is well known that a second-order differential equation can model its dynamics. However, if the damper has a magnetorheological fluid, then it shows viscoelastic properties in the presence of a magnetic field. Hence the mathematical model that best reflects the

The propagation characteristics of small-amplitude electrostatics solitary wave in magnetized dusty plasma in the presence of relativistic thermal ion with non-thermal electron and positron are investigated. Here, Zakharov–Kuznetsov (Z–K) equation is studied to observe the evolution of dust ion acoustic solitary waves with the help of perturbative procedures. In the present plasma system, the Mach

Cancer is the most deadly and dangerous of mainly its patients. The current research has suggested that the nanoparticle containing gold can treat and trounce it since these materials have a lofty atomic quantity that produces the temperature and guides to the handling of malignant tumors. The enthusiasm of current research deals with the steady 2D flow with heat diffusion of blood which transmits

The dispersion of ferromagnetism in free convection flow can lead the magnetization process in reduction due to misalignments of the magnetic domains. In this context, an intensive viscoelastic model is subjected to the magnetization process through non-integer-order differentiation based on singular kernel. The geometry of the problem is tackled for vertical tunnel on the basis of width d saturated

This paper investigates the dynamics behavior of the mathematical model of Human Immunodeficiency Virus (HIV) influenced by stochastic perturbations. This paper is involved in exploring the disease-free equilibrium’s stochastic global exponential stability with a basic reproductive number \(R_{0} < 1\). Necessary and sufficient conditions for stochastic global exponential stability of the disease-free

This article analyzes critical voltage and frequency information of functionally graded graphene nanoplatelets-reinforced composite (FG-GPLRC) porous cylindrical microshell embedded in piezoelectric layer, subjected to temperature gradient. The current non-classical model is capable of capturing the size dependency in the microshells by using only one material length scale parameter; moreover, the

Optical bipolaron’s stability and decoherence confined in the symmetric quantum dot are investigated utilizing the modified Lee, Low, and Pines variational method. The binding energy of optical bipolaron in symmetrical quantum dot systems is obtained by computing the energy of the fundamental state, the energy of the ground state of the single polaron, and the prime state excited energy. The formation

Vector-host infectious diseases remain a challenging issue and cause millions of deaths each year globally. In such outbreaks, many countries especially developing or underdevelopment faces a situation where the number of infected individuals is getting larger and the medical facilities are limited. In this paper, we construct an epidemic model to explore the transmission dynamics of vector-borne diseases

We report the effects of abrupt transitions of light intensity on the growth patterns and mechanical properties of young tobacco leaves. Changes in light intensity induce large variations in the leaf strain rate, which can be an order of magnitude larger than the average growth rates, and include both tissue expansion and shrinkage. These are accompanied by large changes in the tissue’s mechanical

In this paper, a well-known nonlinear optimal control problem (OCP) arisen in a variety of biological, chemical, and physical applications is considered. The quadratic form of the nonlinear cost function is endowed with the state and control functions. In this problem, the dynamic constraint of the system is given by a classical diffusion equation. This article is concerned with a generalization of

Using the mode matching technique, the passing phenomenon of electromagnetic waves from a semi-bounded cylindrical dielectric waveguide to a semi-bounded plasma waveguide have been studied. A thin dielectric layer is placed around the plasma waveguide. An electromagnetic wave in a single mode will be injected into the plasma waveguide from the filled dielectric waveguide. The interaction of the incident

In this paper, a strongly nonlinear oscillator equation with higher-order nonlinear (cubic) restoring force, namely damped Duffing equation with higher-order nonlinearities, has been solved and analyzed analytically and numerically using some effectiveness and high-accuracy methods. Firstly, the physical oscillator system consisting of a spring–mass moves under cubic resorting force with constant spring

Vanadium is naturally occurring fundamental element that has immense consumptions in industry and biological field. Vanadium (V) has different mineral and fossil fuel forms, most common are sandstones crude oil and coal. It is a d-transition metal, found in VA of the periodic table. Transition metal has characteristics to espouse multiple oxidation states \(+2, +3, +4, +5\) of vanadium are useful.

During production mistakes have been introduced.

Neutron bombardments with equivalent fluence (1 × 1010 cm−2) and different fluxes (2.5 × 105 cm−2 s−1 to 1 × 107 cm−2 s−1) have been performed on three kinds of bipolar devices with n-type silicon as active regions. The measured increase of base currents and input bias currents are found to decrease with increasing neutron flux, implying that the strength of the dynamic annealing of divacancy defects

In this paper, we studied the possible existence of anisotropic spherically symmetric solutions in the arena of modified \(f(\textit{G}, \textit{T})\)-gravity theory. To supply exact solutions of the field equations, we consider that the gravitational Lagrangian can be expressed as the generic function of the quadratic Gauss–Bonnet invariant \(\textit{G}\) and the trace of the stress–energy tensor

The starting point toward modeling of a given electromagnetic (EM) problem is to know the modeling constraints/features of different modeling tools, and hence figure out if they are compatible to meet the intended objectives. In the face of popularity of some modeling tools, due to either marketing strategy or researcher bias, and compounded by lack of empirical data toward bench marking different

The present paper demonstrates the analysis of converging shock wave in an ideal relaxing gas with dust particles via Lie group theoretic method. The Lie group of transformations is used to determine the whole range of self-similar solutions to a problem involving both planar and non-planar flows in an ideal, relaxing and dusty gas involving strong converging shocks. For the strong shock waves, all

A systematic study of band structures of some odd mass Samarium isotopes with neutron numbers 91 ≤ N ≤ 95 is carried out by employing projected shell model. The theoretical results have been obtained for band head energies, energy spectra, transition energies and moment of inertia. The calculations on comparison with the experimental data show a reasonably good agreement. The band spectra and transition

In this manuscript, we have researched the cosmic expansion phenomenon in flat FRW Universe through the interaction of the recently proposed Rènyi holographic dark energy (RHDE). For this reason, we assumed Hubble (H) and Granda–Oliveros (GO) horizons as IR cut-off in the framework of f(R, T) gravity. With this choice for IR cut-off, we can obtain some important cosmological quantities such as the

We consider a randomized discrete logistic equation to describe the dynamics of breast tumor volume. We propose a method, that takes advantage of the principle of maximum entropy, to assign reliable distributions to model inputs (initial condition and coefficients) and sample data, respectively. Since the distributions of coefficients depend on certain parameters, we design a computational procedure

We analyze the structure of the scattering matrix, S(k), for the one-dimensional Morse potential. We show that, in addition to a finite number of bound state poles and an infinite number of antibound poles, there exist infinite redundant poles, on the positive imaginary axis, which do not correspond to either of the other types. We explain in detail the role of these redundant poles, in particular

To determine the main effects of anomalous diffusion upon the propagation of energetic particles, the fractional modified telegraph equation is solved using the Laplace–Fourier technique and given in terms of the Fox H and M-Wright functions. Examples are used to illustrate the qualitative differences between the fractional telegraph, fractional advection–diffusion and fractional diffusion equations

This mesoscopic investigation aims to study the rarefied gas flow inside a contracting nanochannel in the slip and transitional regimes by two relaxation time lattice Boltzmann method. Bosanquet-type effective viscosity and distribution functions correction at the corner points are used to enhance the precision of slippage velocity on the walls. The boundary conditions at the entrance and exit sections

The impacts of Stefan blowing on Cattaneo–Christov characteristics and bioconvection of self-motive microorganisms mixed in water-based nanofluids with a ablation/accretion of leading edge are examined in the present investigation. Governing partial differential formulation is transmuted into ordinary differential form via similarity functions. The finite element method is harnessed to yield solution

In this work, we construct various interesting localized wave structures of the Benjamin-Ono equation describing the dynamics of deep water waves. Particularly, we extract the rogue waves and generalized breather solutions with the aid of bilinear form and by applying two appropriate test functions. Our analysis reveals the control mechanism of the rogue waves with arbitrary parameters to obtain both

We construct a relativistic model for the newly discovered millisecond pulsar PSR J0514-4002A located in the globular cluster NGC 1851 (Ridolfi et al. in MNRAS 490:3860, 2019) by using Tolman VII spacetime. We have obtained central density (\(\rho _{0}\)), central pressure (\(p_{0}\)), probable radius, compactness (u) and surface redshift (\(Z_\mathrm{s}\)) of the above-mentioned newly discovered millisecond

We have investigated the dynamic of cooled and trapped polariton state using Landau–Zener–Stückelberg interferometry theory (LZSIT). The effects of exciton–cavity coupling and the laser cooling over the qubit dynamics are analyzed in multi-crossing scenarios, supporting some of our basic results (Kenfack et al. in Comput Condens Matter 11:47–54, 2017; Ekengoue et al. in Comput Condens Matter 14:106–113

We investigated the effect of iron substitutions upon the structural, magnetic, electric, and dielectric properties in Pr0.7Ca0.3Mn1–xFexO3 mixed-valence manganite. The samples were synthesized using the solid-state reaction method and were analyzed by X-ray diffraction, magnetic and impedance spectroscopy measurements. X-ray diffraction analysis shows that all samples were found to be single phase

In this work, we present the effect of a probe string on the complexity of a black hole according to the CA (Complexity equals action) conjecture on Horndeski’s gravity. In our system, we consider a particle moving on the boundary of black hole spacetime in (\(2+1\))-dimensions. To obtain a dual description, we need to insertion a fundamental string on the bulk spacetime. The effect of this string

The present study aims to investigate coupled heat transfer by natural convection, conduction and surface radiation through hollow brick walls. The numerical simulations are conducted for two typical walls built with hollow bricks in order to find the configuration that minimizes the heat gains or losses and then improves the thermal performances of the building. The outside vertical surface is submitted

Radiative transfer problem in an absorbing, scattering and homogeneous finite medium with Rayleigh scattering subjected to externally incident radiation is considered. The solution is evaluated when the case of Fresnel and diffuse reflections is present at the boundary. Galerkin approximation is introduced to calculate some functionals arising in radiative transfer problems such as reflection and transmission

The present work used eight different proximity functions in the modified liquid drop model [MGLDM] to study the cluster and alpha decay half-lives in the superheavy nuclei Z = 120. The values produced by the present work are compared with experiments. We have explored the proximity function is suitable in MGLDM for the cluster and alpha radioactivity of superheavy nuclei. The present work is useful

We investigate the effects of spin-momentum locking on the interference and diffraction patterns due to a double- or single-slit in an electronic Gedankenexperiment. We show that the inclusion of the spin-degree-of-freedom, when coupled to the motion direction of the carrier—a typical situation that occurs in systems with spin–orbit interaction—leads to a modification of the interference and diffraction

In this paper, we incorporate the Beddington–DeAngelis incidence rate to a continuous-time HIV infection model with cure rate and a full logistic proliferation rate of \(CD4^+\) T cells in both uninfected and infected cells. Equilibria and their local stability analysis are discussed. It is shown that the HIV-free equilibrium point is locally asymptotically stable if \({\mathcal {R}}_0<1\) and unstable

The understanding of the fundamental properties of the climate system has long benefitted from the use of simple numerical models able to parsimoniously represent the essential ingredients of its processes. Here, we introduce a new model for the atmosphere that is constructed by supplementing the now-classic Lorenz ’96 one-dimensional lattice model with temperature-like variables. The model features

We study orbital stability of solitary wave solutions of the Kudryashov–Sinelshchikov equation in describing the pressure waves in a mixture liquid. Our approach is based on the theories of orbital stability presented by Grillakis, Shatah and Strauss, and relies on the sign of scalar function. By analyzing and proving conditions for stability or instability of solitary wave solution to the Kudryashov–Sinelshchikov

In the present letter, some invariant solutions of (2+1)-dimensional extended shallow water wave equation are studied. We reduce the equation to an ordinary differential equation(ODE) via the Lie symmetry method. The similarity transformation method is used to determine the group-invariant solutions for the equation. The method plays an important role to reduce the number of independent variables by

Based on Drude-critical points (Drude-Two-CP) model for a dispersive media, a finite-difference time-domain (FDTD) method for metal nanofilms is proposed. By establishing the corresponding relationship between Drude-Two-CP model and Drude–Lorentz model, the conversion coefficients between the two models are calculated. And we modify the Drude-Two-CP model into the form of standard Lorentz model. The

We construct the most general families of self-adjoint boundary conditions for three (equivalent) Weyl Hamiltonian operators, each describing a three-dimensional Weyl particle in a one-dimensional box situated along a Cartesian axis. These results are essentially obtained by using the most general family of self-adjoint boundary conditions for a Dirac Hamiltonian operator that describes a one-dimensional

We discuss a two-step model for the rise and decay of a new coronavirus (Severe Acute Respiratory Syndrome-CoV-2) first reported in December 2019, COVID-19. The first stage is well described by the same equation for turbulent flows, population growth and chaotic maps: a small number of infected, \(d_0\), grows exponentially to a saturation value, \(d_\infty \). The typical growth time (aggressive spreading

We examine time-dependent Schrödinger equation with oscillating boundary condition. More specifically, we use separation of variable technique to construct time-dependent rationally extended Pöschl–Teller potential (whose solutions are given by in terms of \(X_1\) Jacobi exceptional orthogonal polynomials) and its supersymmetric partner, namely the Pöschl–Teller potential. We have obtained exact solutions

In this work, we provide a triple master action interpolating among three self-dual descriptions of massive spin-3/2 particles in \(D=2+1\) dimensions. Such result generalizes a master action previously suggested in the literature. We also show that, surprisingly a shorthand notation in terms of differential operators applied in the bosonic cases of spins 2 and 3 can also be defined to the fermionic

Fractional Newtonian gravity, based on the fractional generalization of Poisson’s equation for Newtonian gravity, is a novel approach to Galactic dynamics aimed at providing an alternative to the dark matter paradigm through a non-local modification of Newton’s theory. We provide an in-depth discussion of the gravitational potential for the Kuzmin disk within this new approach. Specifically, we derive

How species and ecosystems respond to the threatened environmental conditions are attracting phenomenon facing ecologists. One can expect species fight against these forces to get rid of extinction, i.e., species tend to adapt genetically or move to a new environment to resilience against extinction. In this paper, this problem is focused theoretically by considering a coupled of the oxygen-plankton

In this paper, we study two-color, two-flavor QCD using chiral perturbation theory at next-to-leading order when the diquark chemical potential (\(\mu _{\mathrm{B}}\)) is equal to the isospin chemical potential (\(\mu _{\mathrm{I}}\)). For chemical potentials larger than the physical pion mass, the system is in a multicomponent superfluid phase with both pions and diquarks. We construct the one-loop