Analysis of fractional integro-differential equations with nonlocal Erdélyi-Kober type integral boundary conditions-Reference-Cited by-同舟云学术

Analysis of fractional integro-differential equations with nonlocal Erdélyi-Kober type integral boundary conditions

Published:2020-10-01 Issue:5 Volume:23 Page:1401-1415
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Duraisamy Palanisamy¹,Gopal Thangaraj Nandha²,Subramanian Muthaiah³

Affiliation:

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

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

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

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2020-0069/pdf

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