Sabri T. M. Thabet 1 * and Machindra B. Dhakne 2
Author Address :
1,2Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, Maharashtra, India.
1 Department of Mathematics, Aden University, Aden, Yemen.
The purpose of this paper is to study nonlinear fractional integro-differential equations of higher order in Banach spaces. Sufficient conditions for existence of positive solutions are established by well-known fixed point index theorem and nonlinear alternative of Leray-Schauder type. Example is presented to demonstrate the application of our main result.
Fractional integro-differential equations, boundary value problem, fixed point theorems, positive solution.
Article Info :
Received : April 06, 2018; Accepted : December 11, 2018.