Existence theory for a fractional q-integral equations
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Abstract
The paper focuses on establishing sufficient conditions for the existence of the solutions for a functional equation involving q-fractional integrals, particularly in Banach spaces. In this method, the technique of measures of noncompactness and Petryshyn’s fixed point theorem Banach space is used. We provide some examples of equations, which confirm that our result is applicable to a wide class of integral equations.
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