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

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Authors :

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.

*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.



Article Info :

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



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