Results 91 to 100 of about 2,624 (188)

Existence and Stability of Ulam–Hyers and Generalized Ulam–Hyers for the Generalized Langevin–Sturm–Liouville Equation Involving Generalized Liouville–Caputo Type

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper focuses on investigating the existence, uniqueness, and stability of Ulam–Hyers (U‐H) and generalized Ulam–Hyers (G‐U‐H) solutions for the generalized Langevin–Sturm–Liouville equation, which involves generalized Liouville–Caputo derivatives and antiperiodic boundary conditions. We can divide this manuscript into six parts. The first section
Muthaiah Subramanian, Bundit Unyong, Muath Awadalla, Watcharaporn Cholamjiak   +3 more
wiley   +1 more source

Fractional telegraph equation, Mittag-Leffler function, Hilfer derivative, Hadamard fractional derivative, Riesz-Feller space-fractional derivative

, 2015
In this paper we consider space-time fractional telegraph equations, where the time derivatives are intended in the sense of Hilfer and Hadamard while the space fractional derivatives are meant in the sense of Riesz-Feller. We provide the Fourier transforms of the solutions of some Cauchy problems for these fractional equations.
Saxena, Ram K., Garra, R., Orsingher, E.
openaire   +2 more sources

Solvability of Generalized Hilfer Fractional p-Laplacian Differential Problems in Orlicz Spaces

Fractal and Fractional
This paper investigates non-fractional operators, a type of nonlocal operator, within the framework of Orlicz spaces. Using inclusions between certain function spaces, we prove the continuity and/or compactness of generalized operators in Orlicz spaces ...
Mieczysław Cichoń, Masouda M. A. Al-Fadel, Hussein A. H. Salem   +2 more
doaj   +1 more source

Existence and Ulam stability of k-Generalized ψ-Hilfer Fractional Problem

Journal of Innovative Applied Mathematics and Computational Sciences, 2022
In this paper, we prove existence, uniqueness stability results for a class of initial value problem for fractional differential equations involving generalized ψ-Hilfer fractional derivative.
Jamal Eddine Lazreg, Mouffak Benchohra, Abdelkrim Salim   +2 more
doaj  

On the Existence of Solutions and Ulam-Type Stability for a Nonlinear ψ-Hilfer Fractional-Order Delay Integro-Differential Equation

Fractal and Fractional
In this work, we address a nonlinear ψ-Hilfer fractional-order Volterra integro-differential equation that incorporates n-multiple-variable time delays.
Cemil Tunç, Fehaid Salem Alshammari, Fahir Talay Akyıldız   +2 more
doaj   +1 more source

Solution of Fractional Differential Equations Involving Hilfer-Hadamard Fractional Derivatives

Indian Journal Of Science And Technology
Objectives: The aim is to establish prerequisite properties for the Hilfer-Hadamard fractional derivatives and address boundary value problems related to fractional polar Laplace and fractional Sturm-Liouville equations involving Hilfer-Hadamard fractional derivatives. Methods: Existing definitions and findings are utilized to obtain the properties for
Lata Chanchlani, Pratibha Manohar, Ajay Sharma, Sangeeta Choudhary   +3 more
openaire   +1 more source

Controllability of impulsive nonlinear ψ-Hilfer fractional integro-differential equations

Results in Control and Optimization
Sufficient conditions for controllability of impulsive nonlinear integro-differential equations with ψ-Hilfer fractional derivative are established. The result are obtained by using fractional calculus and Schaefer’s fixed point theorem.
A.M. Sayed Ahmed, Mahmoud A. AL-Nahhas, Othman A.M. Omar, Dimplekumar N. Chalishajar, Hamdy M. Ahmed   +4 more
doaj   +1 more source

Measure of noncompactness for nonlinear Hilfer fractional differential equation with mixed fractional integral boundary conditions in Banach space

Journal of Innovative Applied Mathematics and Computational Sciences, 2022
The aim of this work is to study the existence of solutions to a class of fractional differential equations with a mixed of fractional integral boundary conditions involving the Hilfer fractional derivative.
Maamar Benbachir, Abdelatif Boutiara
doaj  

Dynamical analysis of Hilfer–Hadamard type fractional pantograph equations via successive approximation

Journal of Taibah University for Science, 2019
In this note, we consider a nonlinear pantograph equation with Hilfer–Hadamard fractional derivative. We investigate the existence and continuous dependence results by using successive approximations and generalized Gronwall inequality.
D. Vivek, Kamal Shah, K. Kanagarajan
doaj   +1 more source

Fuzzy Fractional Boundary Value Problems With Hilfer Fractional Derivatives

Asia Pacific Journal of Mathematics, 2023
Elhoussain Arhrrabi, M’hamed Elomari, Said Melliani, Lalla Saadia Chadli   +3 more
openaire   +2 more sources