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 …

[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 …

Mittag-Leffler-Type Stability of BAM Neural Networks Modeled by the Generalized Proportional Riemann–Liouville Fractional Derivative

RP Agarwal, S Hristova, D O'Regan - Axioms, 2023 - mdpi.com
The main goal of the paper is to use a generalized proportional Riemann–Liouville fractional
derivative (GPRLFD) to model BAM neural networks and to study some stability properties of …

A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality

T Abdeljawad, STM Thabet, I Kedim, MI Ayari… - Boundary Value …, 2023 - Springer
This paper aims to extend the Caputo–Atangana–Baleanu (ABC) and Riemann–Atangana–
Baleanu (ABR) fractional derivatives with respect to another function, from fractional order …

A mathematical theoretical study of a coupled fully hybrid (k, Φ)-fractional order system of BVPs in generalized Banach spaces

A Boutiara, S Etemad, STM Thabet, SK Ntouyas… - Symmetry, 2023 - mdpi.com
In this paper, we study a coupled fully hybrid system of (k, Φ)–Hilfer fractional differential
equations equipped with non-symmetric (k, Φ)–Riemann-Liouville (RL) integral conditions …

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 …

A novel investigation of non-periodic snap BVP in the G-Caputo sense

X Wang, A Berhail, N Tabouche, MM Matar, ME Samei… - Axioms, 2022 - mdpi.com
In the present paper, we consider a nonlinear fractional snap model with respect to a G-
Caputo derivative and subject to non-periodic boundary conditions. Some qualitative …

[PDF][PDF] A study on the existence of numerical and analytical solutions for fractional integrodifferential equations in Hilfer type with simulation.

R George, SM Aydogan, FM Sakar, M Ghaderi… - … for Modern Challenges, 2023 - core.ac.uk
Previous studies have shown that fractional derivative operators have become an integral
part of modeling natural and physical phenomena. During the progress and evolution of …