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

A Alsaedi, B Ahmad, Y Alruwaily… - Advances in Difference …, 2019 - Springer
Advances in Difference Equations, 2019Springer
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.
Abstract
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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