Boundary Value Problems for Fractional Differential Equations and Inclusions in Banach Spaces
Authors :
Samira Hamani a and Johnny Henderson b,∗
Author Address :
a Département de Mathématiques, Université de Mostaganem, B.P. 27000, Mostaganem, Algérie.
b Department of Mathematics, Baylor University, Waco, Texas 76798-7328, USA.
*Corresponding author.
Abstract :
In this paper, we are concerned with the existence of solutions for boundary value problems, first for a class of fractional differential equations and second for a class of fractional differential inclusions. The methods include techniques associated with measure of noncompactness in conjunction with fixed point theorems of M\"onch type.
Keywords :
Fractional differential equation, fractional differential inclusion, boundary value problem, measure of noncompactness, fixed point.
DOI :
Article Info :
Received : July 07, 2016; Accepted : November 23, 2016.
