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 …

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 …

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 …

Fractional hybrid differential equations with three-point boundary hybrid conditions

C Derbazi, H Hammouche, M Benchohra… - Advances in Difference …, 2019 - Springer
In this paper, we study the existence of solutions for hybrid fractional differential equations
involving fractional Caputo derivative of order 1< α≤ 2 1<α≦2. Our results rely on a hybrid …

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 …

Existence, uniqueness and stability of solutions for generalized proportional fractional hybrid integro-differential equations with Dirichlet boundary conditions

Z Laadjal, F Jarad - 2023 - earsiv.cankaya.edu.tr
In this work, the existence of solutions for nonlinear hybrid fractional integro-differential
equations involving generalized proportional fractional (GPF) derivative of Caputo-Liouville …

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 …

On positive solutions of higher order nonlinear fractional integro-differential equations with boundary conditions

STM Thabet, MB Dhakne - Malaya Journal of Matematik, 2019 - malayajournal.org
The purpose of this paper is to study nonlinear fractional integro-differential equations of
higher order in Banach spaces. Sufficient conditions for existence of positive solutions are …