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Existence results of sequential fractional Caputo sum-difference boundary value problem
AIMS Mathematics 2022, 7(8): 15120-15137
Published: 15 August 2022
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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 Schaefer's 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.

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