Existence of Solutions for Fractional Differential Equations Involving Two Riemann-Liouville Fractional Orders
Year: 2018
Analysis in Theory and Applications, Vol. 34 (2018), Iss. 3 : pp. 253–274
Abstract
In this work, we study existence and uniqueness of solutions for multi-point boundary value problem of nonlinear fractional differential equations with two fractional derivatives. By using the variety of fixed point theorems, such as Banach’s fixed point theorem, Leray-Schauder’s nonlinear alternative and Leray-Schauder’s degree theory, the existence of solutions is obtained. At the end, some illustrative examples are discussed.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2017-0021
Analysis in Theory and Applications, Vol. 34 (2018), Iss. 3 : pp. 253–274
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Riemann-Liouville integral existence fixed point theorem Leray-Schauder alternative.