Existence results of sequential fractional Caputo sum-difference boundary value problem
Date
2022
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Article
Publisher
American Institute of Mathematical Sciences
Journal Title
Existence results of sequential fractional Caputo sum-difference boundary value problem
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Abstract
In this article, we study the existence and uniqueness results for a sequential nonlinear Caputo fractional sum-difference equation with fractional difference boundary conditions by using the Banach contraction principle and SchaeferÕs fixed point theorem. Furthermore, we also show the existence of a positive solution. Our problem contains different orders and four fractional difference operators. Finally, we present an example to display the importance of these results. © 2022 the Author(s), licensee AIMS Press.
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AIMS Mathematics