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math.DS2026
Dynamic-memory fractional calculus via generator-based memory construction: operational theory, semigroup structure, and applications
Jehad Alzabut
Most generalized fractional operators rely on prescribed memory kernels, restricting hereditary behavior to predefined forms and limiting flexibility in modeling diverse memory eff…
math.DS2013★ 9 cited
The q-fractional analogue for Gronwall-type inequality
Thabet Abdeljawad, Jehad Alzabut
In this article, we utilize \emph{q}--fractional Caputo initial value problems of order to derive a \emph{q}--analogue for Gronwall--type inequality. Some particular ca…