P. Duraisamy 1 and T. Nandha Gopal2*
Author Address :
1 Department 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.
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.
Fractional differential equations, Delay Integro-differential equations, Existence, Fixed Point.
Article Info :
Received : August 24, 2018; Accepted : December 11, 2018.