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

Bashir Ahmad and Rodica Luca

Chaos, Solitons & Fractals, 2017, vol. 104, issue C, 378-388

Abstract: 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.

Keywords: Caputo fractional differential equations; Coupled integral boundary conditions; Fixed point theorems (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:104:y:2017:i:c:p:378-388

DOI: 10.1016/j.chaos.2017.08.035

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