On boundary value problems for fractional integro-differential equations in Banach spaces

Sabri T. M. Thabet a,* and Machindra B. Dhakneb

On boundary value problems for fractional integro-differential equations in Banach spaces

Authors :

Sabri T. M. Thabet ^a,* and Machindra B. Dhakne^b

Author Address :

^a,bDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, Maharashtra, India.

*Corresponding author.

Abstract :

This paper aims to study the existence and uniqueness of solutions of fractional integro-differential equations in Banach spaces by applying a new generalized singular type Gronwall’s inequality, fixed point theorems and H¨older inequality. Example is provided to illustrate the main results.

Keywords :

Fractional integro-differential equations, boundary value problems, existence and uniqueness, generalized singular type Gronwall’s inequality, fixed point theorems.

DOI :

Article Info :

Received : June 25, 2015; Accepted : August 23, 2015.