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Coupled implicit Caputo fractional q-difference systems

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This paper deals with some existence, uniqueness, and Ulam stability results for a coupled implicit Caputo fractional q-difference system in Banach and generalized Banach spaces. Some applications are made of… Click to show full abstract

This paper deals with some existence, uniqueness, and Ulam stability results for a coupled implicit Caputo fractional q-difference system in Banach and generalized Banach spaces. Some applications are made of some fixed point theorems for the existence and uniqueness of solutions. Next we prove that our problem is generalized Ulam–Hyers–Rassias stable. Some illustrative examples are given in the last section.

Keywords: difference; fractional difference; caputo fractional; implicit caputo; coupled implicit

Journal Title: Advances in Difference Equations
Year Published: 2019

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