Results 151 to 160 of about 3,539,075 (195)

Ulam-Hyers Stability of Caputo-Katugampola Generalized Hukuhara Type Partial Differential Symmetry Coupled Systems

Symmetry
The purpose of this paper is to investigate a class of novel symmetric coupled fuzzy fractional partial differential equation system involving the Caputo–Katugampola (C-K) generalized Hukuhara (gH) derivative.
Lin-cheng Jiang, Heng-you Lan, Yi-xin Yang   +2 more
semanticscholar   +1 more source

Representation of Solutions and Ulam–Hyers Stability of the Two-Sided Fractional Matrix Delay Differential Equations

Fractal and Fractional
This paper investigates linear two-sided fractional matrix delay differential equations (TSFMDDE). Firstly, the two-sided fractional delayed Mittag-Leffler matrix functions (TSFDMLMF) are constructed. Further, the representation of solutions of two-sided
Taoyu Yang, Mengmeng Li
semanticscholar   +1 more source

Ulam–Hyers stability of fractional Itô–Doob stochastic differential equations

Mathematical methods in the applied sciences, 2023
This article is devoted to prove the existence and uniqueness (EU) of solution of fractional Itô–Doob stochastic differential equations (FIDSDE) with order ϰ∈(0,1)$$ \mathrm{\varkappa}\in \left(0,1\right) $$ by using the fixed point technique (FPT).
Lassaad Mchiri
semanticscholar   +1 more source

Some Fixed Point Results for Hybrid Contraction in Metric Spaces and Ulam-Hyers Stability

European Journal of Pure and Applied Mathematics
In the present manuscript, we introduce a new notion of (β, ϕ)− admissible hybrid contractions in metric spaces and establish fixed point results in the setting of these spaces. The derived results extend the reported findings of the past.
R. Ramaswamy, Manoj Kumar, P. Sharma, Rayan Abdulrahman Alkhowaiter, Hossam A. Nabway, O. A. Abdelnaby, Gunaseelan Mani   +6 more
semanticscholar   +1 more source

Exploring mild solution and Ulam–Hyers stability for non-autonomous fractional stochastic differential systems with non-instataneous impulses

Journal of Mathematics and Physics
In this study, we deal with the non-autonomous fractional impulsive stochastic differential equation for the first time. This article examines the existence of a mild solution and the Ulam–Hyers stability of non-autonomous stochastic fractional ...
Anjali Upadhyay, Surendra Kumar
semanticscholar   +1 more source

Ulam‐Hyers stability of Caputo fractional difference equations

Mathematical methods in the applied sciences, 2019
We study the Ulam‐Hyers stability of linear and nonlinear nabla fractional Caputo difference equations on finite intervals. Our main tool used is a recently established generalized Gronwall inequality, which allows us to give some Ulam‐Hyers stability ...
Churong Chen, M. Bohner, Baoguo Jia
semanticscholar   +1 more source

A theoretical study of the fractional-order p-Laplacian nonlinear Hadamard type turbulent flow models having the Ulam–Hyers stability

RACSAM, 2023
H. M. Srivastava, Ankit Kumar Nain, R. Vats, P. Das   +3 more
semanticscholar   +1 more source

β–Ulam–Hyers Stability and Existence of Solutions for Non-Instantaneous Impulsive Fractional Integral Equations

Fractal and Fractional
In this paper, we investigate a class of non-instantaneous impulsive fractional integral equations. Utilizing the Banach contraction mapping principle, we establish the existence and uniqueness of solutions for the considered problem.
Wei-Shih Du, M. Fečkan, M. Kostić, D. Velinov   +3 more
semanticscholar   +1 more source

Ulam-Hyers stability and existence results for a coupled sequential Hilfer-Hadamard-type integrodifferential system

AIMS Mathematics
This study aimed to investigate the existence, uniqueness, and Ulam-Hyers stability of solutions in a nonlinear coupled system of Hilfer-Hadamard sequential fractional integrodifferential equations, which were further enhanced by nonlocal coupled ...
Subramanian Muthaiah, M. Murugesan, M. Awadalla, B. Unyong, Ria H. M. Egami   +4 more
semanticscholar   +1 more source

Quantum Laplace Transforms for the Ulam–Hyers Stability of Certain q-Difference Equations of the Caputo-like Type

Fractal and Fractional
We aim to investigate the stability property for the certain linear and nonlinear fractional q-difference equations in the Ulam–Hyers and Ulam–Hyers–Rassias sense.
S. Etemad, I. Stamova, S. Ntouyas, J. Tariboon   +3 more
semanticscholar   +1 more source