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 …

Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations

AD Mali, KD Kucche - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
In this paper, we derive the equivalent fractional integral equation to the nonlinear implicit
fractional differential equations involving Ψ‐Hilfer fractional derivative subject to nonlocal …

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 …

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 …

[HTML][HTML] Efficient results on Hilfer pantograph model with nonlocal integral condition

KS Nisar - Alexandria Engineering Journal, 2023 - Elsevier
The optimistic plan of this work reveals the solvability conditions of Hilfer fractional
pantograph integrodifferential equations of type 0≤ q 2≤ 1 and order 0< q 1< 1. The …

[HTML][HTML] Controllability of impulsive nonlinear ψ-Hilfer fractional integro-differential equations

AMS Ahmed, MA AL-Nahhas, OAM Omar… - Results in Control and …, 2024 - Elsevier
Sufficient conditions for controllability of impulsive nonlinear integro-differential equations
with ψ-Hilfer fractional derivative are established. The result are obtained by using fractional …

Existence, Uniqueness and Stability Results of Fractional Volterra-Fredholm Integro Differential Equations of $ psi $-Hilfer Type

AA Hamoud, AA Sharif… - Discontinuity …, 2021 - lhscientificpublishing.com
In this paper, we establish some new conditions for the existence and uniqueness of
solutions for a class of nonlinear $\psi $-Hilfer fractional Volterra-Fredholm integro …

[PDF][PDF] Existence results of-Hilfer integro-differential equations with fractional order in Banach space

MA Almalahi, SK Panchal - Annales Universitatis Paedagogicae …, 2020 - sciendo.com
In this article we present the existence and uniqueness results for fractional integro-
differential equations with ψ-Hilfer fractional derivative. The reasoning is mainly based upon …

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 …