Existence and Ulam stability of initial value problems for perturbed functional fractional q-difference equations

Samira Hamani

Abstract


By applying the Burton and Kirk xed point theorem, we discuss the existence of so-
lutions for a class of initial value problems for perturbed functional fractional q-dierence
equations involving the q-derivative in the Caputo sense. Further, we present Ulam-Hyers
and Ulam-Hyers-Rassias stabilities results by using direct analysis methods. Finally, we
give two examples illustrating the results.


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References


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DOI: http://dx.doi.org/10.24193/subbmath.2024.3.02

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