Coupled implicit Caputo fractional q-difference systems

Saı̈d Abbas

doi:10.1186/s13662-019-2433-5

Coupled implicit Caputo fractional q-difference systems

2019-12-19

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DOI：10.1186/s13662-019-2433-5

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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 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:

Fractional q-difference equation

Coupled system

Implicit

Ulam-Hyers-Rassias stability

Generalized Banach space

Coupled implicit Caputo fractional q-difference systems

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