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

P. Duraisamy 1 and T. Nandha Gopal2*

doi:10.26637/MJM0701/0019

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

Authors :

P. Duraisamy ¹ and T. Nandha Gopal^2*

Author Address :

¹Department of Mathematics, Gobi Arts and Science College, Gobichettipalayam, Tamilnadu, India.
² Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamilnadu, India.

*Corresponding author.

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.

DOI :

10.26637/MJM0701/0019

Article Info :

Received : August 24, 2018; Accepted : December 11, 2018.