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Existence and Ulam stability for implicit fractional q-difference equations

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This paper deals with some existence, uniqueness and Ulam–Hyers–Rassias stability results for a class of implicit fractional q-difference equations. Some applications are made of some fixed point theorems in Banach… Click to show full abstract

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

Keywords: difference equations; difference; fractional difference; equations existence; stability; implicit fractional

Journal Title: Advances in Difference Equations
Year Published: 2019

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