The existence and Ulam–Hyers stability results for -Hilfer fractional integrodifferential equations

MS Abdo, STM Thabet, B Ahmad - Journal of Pseudo-Differential …, 2020 - Springer
We establish sufficient conditions for the existence and uniqueness of solutions for a class of
nonlinear fractional integrodifferential equations with boundary conditions involving ψ ψ …

Study of nonlocal multiorder implicit differential equation involving Hilfer fractional derivative on unbounded domains

STM Thabet, I Kedim - Journal of Mathematics, 2023 - Wiley Online Library
This paper aims to study the existence and uniqueness of the solution for nonlocal
multiorder implicit differential equation involving Hilfer fractional derivative on unbounded …

Solvability of a ϱ-Hilfer Fractional Snap Dynamic System on Unbounded Domains

STM Thabet, M Vivas-Cortez, I Kedim, ME Samei… - Fractal and …, 2023 - mdpi.com
This paper is devoted to studying the ϱ-Hilfer fractional snap dynamic system under the ϱ-
Riemann–Liouville fractional integral conditions on unbounded domains [a,∞), a≥ 0, for the …

Qualitative properties and approximate solutions of thermostat fractional dynamics system via a nonsingular kernel operator

MI Ayari, STM Thabet - Arab Journal of Mathematical Sciences, 2023 - emerald.com
Purpose This paper aims to study qualitative properties and approximate solutions of a
thermostat dynamics system with three-point boundary value conditions involving a …

On a new structure of the pantograph inclusion problem in the Caputo conformable setting

STM Thabet, S Etemad, S Rezapour - Boundary value problems, 2020 - Springer
In this work, we reformulate and investigate the well-known pantograph differential equation
by applying newly-defined conformable operators in both Caputo and Riemann–Liouville …

[PDF][PDF] On coupled snap system with integral boundary conditions in the G-Caputo sense

STM Thabet, MM Matar, MA Salman, ME Samei… - Aims Math., 2023 - researchgate.net
In this paper, we consider a coupled snap system in a fractional G-Caputo derivative sense
with integral boundary conditions. Hyers-Ulam stability criterion is investigated, and a …

Topology degree results on a G-ABC implicit fractional differential equation under three-point boundary conditions

S Rezapour, STM Thabet, AS Rafeeq, I Kedim… - Plos one, 2024 - journals.plos.org
This research manuscript aims to study a novel implicit differential equation in the non-
singular fractional derivatives sense, namely Atangana-Baleanu-Caputo (ABC) of arbitrary …

On abstract Hilfer fractional integrodifferential equations with boundary conditions

STM Thabet, B Ahmad, RP Agarwal - Arab Journal of Mathematical …, 2020 - emerald.com
In this paper, we study a Cauchy-type problem for Hilfer fractional integrodifferential
equations with boundary conditions. The existence of solutions for the given problem is …

Analysis study on multi-order -Hilfer fractional pantograph implicit differential equation on unbounded domains

STM Thabet, I Kedim, AS Rafeeq, S Rezapour - AIMS …, 2023 - aimspress.com
In this paper, we investigate a multi-order $\varrho $-Hilfer fractional pantograph implicit
differential equation on unbounded domains $(a,\infty), a\geq 0$. The existence and …

[PDF][PDF] Generalized fractional Sturm-Liouville and Langevin equations involving Caputo derivative with nonlocal conditions

STM Thabet, MB Dhakne, MA Salman… - Prog. Fract. Differ …, 2020 - researchgate.net
The present paper addresses, generalized fractional Sturm-Liouville and Langevin
equations with nonlocal conditions. Sufficient conditions of the existence and uniqueness for …