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

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

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 alterna...

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Bibliographic Details
Main Authors: Ahmed Alsaedi, Bashir Ahmad, Ymnah Alruwaily, Sotiris K. Ntouyas
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Advances in Difference Equations
Subjects:
Caputo derivative
System
Riemann–Stieltjes integral
Multipoint boundary conditions
Existence
Online Access:http://link.springer.com/article/10.1186/s13662-019-2412-x
Description
Summary: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.
ISSN:1687-1847

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