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 …

[HTML][HTML] On Caputo-Hadamard fractional pantograph problem of two different orders with Dirichlet boundary conditions

AS Rafeeq, STM Thabet, MO Mohammed… - Alexandria Engineering …, 2024 - Elsevier
This manuscript aims to study the effectiveness of two different levels of fractional orders in
the frame of Caputo-Hadamard (CH)-derivatives on a special type class of delay problem …

The iterative properties for positive solutions of a tempered fractional equation

X Zhang, P Chen, H Tian, Y Wu - Fractal and Fractional, 2023 - mdpi.com
In this article, we investigate the iterative properties of positive solutions for a tempered
fractional equation under the case where the boundary conditions and nonlinearity all …

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 new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law

STM Thabet, T Abdeljawad, I Kedim, MI Ayari - Boundary Value Problems, 2023 - Springer
In this paper, new generalized weighted fractional derivatives with respect to another
function are derived in the sense of Caputo and Riemann–Liouville involving a new …

[HTML][HTML] Explicit iteration of an unbounded solution of turbulent flow model involving ψ-Riemann–Liouville fractional derivatives

STM Thabet, I Kedim, B Abdalla… - Alexandria Engineering …, 2025 - Elsevier
This paper is concerned for the first time an explicit iteration of an unbounded solution for a
turbulent flow model involving ψ-Riemann–Liouville fractional derivatives with the p …

[PDF][PDF] A computational method for investigating a quantum integrodifferential inclusion with simulations and heatmaps

S Rezapour, STM Thabet, I Kedim, M Vivas-Cortez… - AIMS Math., 2023 - aimspress.com
We aim to investigate an integro-differential inclusion using a novel computational approach
in this research. The use of quantum calculus, and consequently the creation of discrete …

[PDF][PDF] Analytical study of ABC-fractional pantograph implicit differential equation with respect to another function

STM Thabet, M Vivas-Cortez, I Kedim - AIMS Math, 2023 - aimspress.com
This article aims to establish sufficient conditions for qualitative properties of the solutions for
a new class of a pantograph implicit system in the framework of Atangana-Baleanu-Caputo …

Study of (k, Θ)-Hilfer fractional differential and inclusion systems on the glucose graph

L Zhang, X Liu, G Wang - Heliyon, 2024 - cell.com
This article combines\(k, Θ\)-Hilfer fractional calculus with glucose molecular graph, defines
fractional differential and inclusion systems on each edge of a glucose molecular graph by …

Analysis and numerical simulation of fractional Bloch model arising in magnetic resonance imaging using novel iterative technique

Rahul, A Prakash - Optical and Quantum Electronics, 2024 - Springer
The present work investigates Bloch equations arising in magnetic resonance with Caputo
and Caputo Fabrizio derivatives. Banach's fixed point approach is used to construct the …