Existence result for neutral fractional integrodifferential equations with nonlocal integral boundary conditions

Arshi Meraj1* and Dwijendra N Pandey2

doi:10.26637/MJM0601/0003

Existence result for neutral fractional integrodifferential equations with nonlocal integral boundary conditions

Authors :

Arshi Meraj^1*and Dwijendra N Pandey²

Author Address :

^1,2 Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, Uttarakhand, India.

*Corresponding author.

Abstract :

In this article, we study a neutral fractional integrodifferential equation supplemented with nonlocal flux type integral boundary conditions. The existence and uniqueness results are obtained by using Banach fixed point theorem and Leray-Schauder nonlinear alternative theorem. The obtained results are illustrated by examples at the end.

Keywords :

Fractional differential equations, nonlocal integral boundary conditions, fixed point theorems.

DOI :

10.26637/MJM0601/0003

Article Info :

Received : March 12, 2017; Accepted : September 09, 2017.