<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we study existence and uniqueness of solutions for a coupled system consisting of fractional differential equations of Caputo type, subject to Riemann–Liouville fractional integral boundary conditions. The uniqueness of solutions is established by Banach contraction principle, while the existence of solutions is derived by Leray–Schauder’s alternative. We also study the Hyers–Ulam stability of mentioned system. At the end, examples are also presented which illustrate our results.</p></abstract>

In this paper we study existence and uniqueness of solutions for a coupled system consisting of fractional differential equations of Caputo type, subject to Riemann–Liouville fractional integral boundary conditions. The uniqueness of solutions is established by Banach contraction principle, while the existence of solutions is derived by Leray–Schauder’s alternative. We also study the Hyers–Ulam stability of mentioned system. At the end, examples are also presented which illustrate our results.

Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper we study existence and uniqueness of solutions for a coupled system consisting of fractional differential equations of Caputo type, subject to...

Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions

Published Online: Feb 23, 2019

Page range: 103 - 125

Received: Mar 03, 2018

Accepted: Sep 19, 2018

DOI: https://doi.org/10.2478/aupcsm-2018-0009

Keywords
Caputo fractional derivative, Riemann–Liouville fractional integral, coupled system, existence, uniqueness, fixed point theorem, Hyers–Ulam stability

© 2018 Akbar Zada et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions

Published Online: Feb 23, 2019

Page range: 103 - 125

Received: Mar 03, 2018

Accepted: Sep 19, 2018

DOI: https://doi.org/10.2478/aupcsm-2018-0009

KeywordsCaputo fractional derivative, Riemann–Liouville fractional integral, coupled system, existence, uniqueness, fixed point theorem, Hyers–Ulam stability

© 2018 Akbar Zada et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Caputo fractional derivative, Riemann–Liouville fractional integral, coupled system, existence, uniqueness, fixed point theorem, Hyers–Ulam stability