Almost sectorial operators on Ψ‐Hilfer derivative fractional impulsive integro‐differential equations

K Karthikeyan, P Karthikeyan… - … Methods in the …, 2022 - Wiley Online Library
This paper is concerned with the existence results of Ψ‐Hilfer fractional impulsive integro‐
differential equations involving almost sectorial operators. The mild solutions of the …

On a coupled Caputo conformable system of pantograph problems

S THABET, S ETEMAD… - Turkish Journal of …, 2021 - journals.tubitak.gov.tr
Our fundamental purpose in the present manuscript is to explore existence and uniqueness
criteria for a new coupled Caputo conformable system of pantograph problems in which for …

The generalized U–H and U–H stability and existence analysis of a coupled hybrid system of integro-differential IVPs involving φ-Caputo fractional operators

A Boutiara, S Etemad, A Hussain… - Advances in Difference …, 2021 - Springer
We investigate the existence and uniqueness of solutions to a coupled system of the hybrid
fractional integro-differential equations involving φ-Caputo fractional operators. To achieve …

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 …

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 …

Analytical study of two nonlinear coupled hybrid systems involving generalized Hilfer fractional operators

MA Almalahi, O Bazighifan, SK Panchal, SS Askar… - Fractal and …, 2021 - mdpi.com
In this research paper, we dedicate our interest to an investigation of the sufficient conditions
for the existence of solutions of two new types of a coupled systems of hybrid fractional …

Existence results and Ulam–Hyers stability for a fully coupled system of nonlinear sequential Hilfer fractional differential equations and integro-multistrip-multipoint …

RP Agarwal, A Assolami, A Alsaedi… - Qualitative theory of …, 2022 - Springer
In this paper, we investigate the existence of solutions for a new coupled system of
sequential Hilfer fractional differential equations equipped with coupled integro-multistrip …

Nonlocal and multiple-point fractional boundary value problem in the frame of a generalized Hilfer derivative

W Shatanawi, A Boutiara, MS Abdo, MB Jeelani… - Advances in Difference …, 2021 - Springer
The aim of this manuscript is to handle the nonlocal boundary value problem for a specific
kind of nonlinear fractional differential equations involving a ξ-Hilfer derivative. The used …

On a System of ψ-Caputo Hybrid Fractional Differential Equations with Dirichlet Boundary Conditions

M Awadalla, K Abuasbeh, M Subramanian… - Mathematics, 2022 - mdpi.com
In this article, we investigate sufficient conditions for the existence and stability of solutions to
a coupled system of ψ-Caputo hybrid fractional derivatives of order 1< υ≤ 2 subjected to …