Existence theory for implicit fractional q-difference equations in Banach spaces

Nadjet Laledj, Said Abbas, Mouffak Benchohra, Johnny Henderson

Abstract


This paper deals with some existence results for a class of implicit fractional q-difference equations. The results are based on the fixed point theory in Banach spaces and the concept of measure of noncompactness. An illustrative example is given in the last section.

Keywords


Fractional q-difference equation, implicit, measure of noncompactness, solution, fixed point.

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DOI: http://dx.doi.org/10.24193/subbmath.2022.4.02

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