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On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann-Stieltjes type integro-multipoint boundary conditions
Journal article   Open access  Peer reviewed

On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann-Stieltjes type integro-multipoint boundary conditions

Ahmed Alsaedi, Bashir Ahmad, Ymnah Alruwaily and Sotiris K. Ntouyas
Advances in difference equations, Vol.2019(1), pp.1-19
15/11/2019
DOI: https://doi.org/10.1186/s13662-019-2412-x

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We study a coupled system of Caputo fractional differential equations with coupled non-conjugate Riemann-Stieltjes type integro-multipoint boundary conditions. Existence and uniqueness results for the given boundary value problem are obtained by applying the Leray-Schauder nonlinear alternative, the Krasnoselskii fixed point theorem and Banach's contraction mapping principle. Examples are constructed to illustrate the obtained results.
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https://doi.org/10.1186/s13662-019-2412-xView
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