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Existence of solutions for a sequential fractional integro-differential system with coupled integral boundary conditions
Journal article   Peer reviewed

Existence of solutions for a sequential fractional integro-differential system with coupled integral boundary conditions

Bashir Ahmad and Rodica Luca
Chaos, solitons and fractals, Vol.104, pp.378-388
01/11/2017
DOI: https://doi.org/10.1016/j.chaos.2017.08.035

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Physics Physics, Mathematical Physics, Multidisciplinary Science & Technology
We investigate the existence and uniqueness of solutions for a system of nonlinear Caputo type sequential fractional integro-differential equations with coupled Riemann-Stieltjes integral boundary conditions, by using the Leray-Schauder alternative and the Banach contraction principle. Two examples are also presented to illustrate our results. (c) 2017 Elsevier Ltd. All rights reserved.

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