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

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 th...

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Bibliographic Details
Main Authors: Akbar Zada, Muhammad Yar, Tongxing Li
Format: Article
Language:deu
Published: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2019-01-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Subjects:
Online Access:http://studmath.up.krakow.pl/index.php/studmath/article/view/293
Description
Summary: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.
ISSN:2081-545X
2300-133X