Existence results for fractional delay integro-differential equations with multi-point boundary conditions
Authors :
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.
*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 :
Article Info :
Received : August 24, 2018; Accepted : December 11, 2018.