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Analysis of Fractional Integro-Differential Equations with Nonlocal Erdélyi-Kober Type Integral Boundary Conditions

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Abstract

In this article, we study the existence and uniqueness of solutions for nonlinear fractional integro-differential equations with nonlocal Erdélyi-Kober type integral boundary conditions. The existence results are based on Krasnoselskii’s and Schaefer’s fixed point theorems, whereas the uniqueness result is based on the contraction mapping principle. Examples illustrating the applicability of our main results are also constructed.

MSC 2010: Primary 34A08; Secondary 34A12, 34A60

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Authors and Affiliations

  1. Dept. of Mathematics, Gobi Arts & Science College Gobichettipalayam, Tamilnadu, India

    Palanisamy Duraisamy

  2. Dept. of Mathematics Sri Ramakrishna, Mission Vidyalaya College of Arts and Science Coimbatore, Tamilnadu, India

    Thangaraj Nandha Gopal

  3. Dept. of Mathematics, KPR Institute of Engineering and Technology Coimbatore, Tamilnadu, India

    Muthaiah Subramanian

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  1. Palanisamy Duraisamy
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  2. Thangaraj Nandha Gopal
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  3. Muthaiah Subramanian
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Correspondence to Palanisamy Duraisamy.

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Duraisamy, P., Nandha Gopal, T. & Subramanian, M. Analysis of Fractional Integro-Differential Equations with Nonlocal Erdélyi-Kober Type Integral Boundary Conditions. Fract Calc Appl Anal 23, 1401–1415 (2020). https://doi.org/10.1515/fca-2020-0069

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