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

Nadjet Laledj; Said Abbas; Mouffak Benchohra; Johnny Henderson

doi:10.24193/subbmath.2022.4.02

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

Authors

Nadjet Laledj
Said Abbas
Mouffak Benchohra Djillali Liabes University of Sidi Bel Abbes http://orcid.org/0000-0003-3063-9449
Johnny Henderson

DOI:

https://doi.org/10.24193/subbmath.2022.4.02

Keywords:

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

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.