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Coupled implicit Caputo fractional q-difference systems

Article scientifique 2019 Anglais

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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.

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Abbas, S., Benchohra, M., Samet, B., Zhou, Y. (2019). Coupled implicit Caputo fractional q-difference systems. https://doi.org/10.1186/s13662-019-2433-5

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