Existence results for nonlinear fractional differential equation with nonlocal integral boundary conditions
Authors :
Renu Chaudhary a and Dwijendra N Pandey a,∗
Author Address :
a Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, Uttarakhand, India.
*Corresponding author.
Abstract :
In this paper, we shall study a nonlinear fractional differential equation with nonlocal integral boundary conditions. We have used fixed point theorems and Laray-Schauder nonlinear alternative to study the existence and uniqueness of solutions to the given equation. In the last, we have given examples to illustrate the applications of the abstract results.
Keywords :
Fractional differential equations, Fixed point theorems, Laray-Schauder nonlinear alternative, Nonlocal boundary conditions.
DOI :
Article Info :
Received : November 24, 2015; Accepted : June 10, 2016.
