9 citations · 12 across the 3 of their papers we have counts for
4 papers
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…
Langevin equation with nonlocal boundary conditions involving a --Caputo fractional operator
Arjumand Seemab, Jehad Alzabut, Mujeeb ur Rehman +2
This paper studies Langevin equation with nonlocal boundary conditions involving a --Caputo fractional derivatives operator. By the aide of fixed point techniques of Krasnoselsk…
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…
Banach Contraction Principle for Cyclical Mappings on Partial Metric Spaces
Thabet Abdeljawad, Jehad O. Alzabut, Aiman Mukheimer +1
In this paper, we prove that the Banach contraction principle proved by S. G. Matthews in 1994 on 0--complete partial metric spaces can be extended to cyclical mappings. However, t…