Electron. J. Diff. Equ., Vol. 2016 (2016), No. 211, pp. 1-14.

Existence of solutions for Riemann-Liouvillle type coupled systems of fractional integro-differential equations and boundary conditions

Ahmed Alsaedi, Shorog Aljoudi, Bashir Ahmad

Abstract:
In this article, we study a boundary value problem of coupled systems of nonlinear Riemann-Liouvillle fractional integro-differential equations supplemented with nonlocal Riemann-Liouvillle fractional integro-differential boundary conditions. Our results rely on some standard tools of the fixed point theory. An illustrative example is also discussed.

Submitted June 3, 2016. Published August 10, 2016.
Math Subject Classifications: 34A08, 34B10, 34B15.
Key Words: Riemann-Liouvillle; fractional derivative; coupled system; nonlocal integral conditions; existence of solutions.

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Ahmed Alsaedi
Department of Mathematics, Faculty of Science
King Abdulaziz University, P.O. Box 80203
Jeddah 21589, Saudi Arabia
email: aalsaedi@hotmail.com
  Shorog Aljoudi
Department of Mathematics, Faculty of Science
King Abdulaziz University, P.O. Box 80203
Jeddah 21589, Saudi Arabia
email: sh-aljoudi@hotmail.com
Bashir Ahmad
Department of Mathematics, Faculty of Science
King Abdulaziz University, P.O. Box. 80203
Jeddah 21589, Saudi Arabia
email: bashirahmad_qau@yahoo.com

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