Existence results for fractional delay integro-differential equations with multi-point boundary conditions

P. Duraisamy; T. Nandha Gopal

doi:10.26637/MJM0701/0019

Abstract

This paper addresses the issue of existence and uniqueness of solutions to the fractional delay integro-differential equations with multi-point boundary conditions. The existence results are proved by applying Krasnoselskii’s fixed point theorem and Leray-Schauder nonlinear alternative whereas uniqueness result is proved by the contraction mapping principle. Examples are provided to illustrate the main results.

Keywords:

Fractional differential equations, Delay Integro-differential equations, Existence, Fixed Point

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

P. Duraisamy Department of Mathematics, Gobi Arts and Science College, Gobichettipalayam, Tamilnadu, India.
T. Nandha Gopal Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamilnadu, India.

Pages: 96-103
Date Published: 01-01-2019
Vol. 7 No. 01 (2019): Malaya Journal of Matematik (MJM)

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