On positive solutions of higher order nonlinear fractional integro-differential equations with boundary conditions

Sabri T. M. Thabet 1 * and Machindra B. Dhakne 2

doi:10.26637/MJM0701/0005

On positive solutions of higher order nonlinear fractional integro-differential equations with boundary conditions

Authors :

Sabri T. M. Thabet ^{1 *} and Machindra B. Dhakne²

Author Address :

^1,2Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, Maharashtra, India.
¹ Department of Mathematics, Aden University, Aden, Yemen.

*Corresponding author.

Abstract :

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.

Keywords :

Fractional integro-differential equations, boundary value problem, fixed point theorems, positive solution.

DOI :

10.26637/MJM0701/0005

Article Info :

Received : April 06, 2018; Accepted : December 11, 2018.