Results 101 to 110 of about 8,350 (261)

Existence and Stability Results for a Modified Diffusion Equation Involving Atangana–Baleanu–Caputo Fractional Derivative

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This article shows another display of the modified diffusion equation of fractional order involving Atangana–Baleanu–Caputo fractional derivative. The manuscript contains three major cases: the existence of a solution, uniqueness of the solution, and Hyers–Ulam stability, which are discussed based on valid theorems in nonlinear analysis.
Maral Sangi, Mohammad Esmael Samei, Arpan Hazra   +2 more
wiley   +1 more source

The coefficient multipliers on $ H^2 $ and $ \mathcal{D}^2 $ with Hyers–Ulam stability

AIMS Mathematics
In this paper, we investigated the Hyers–Ulam stability of the coefficient multipliers on the Hardy space $ H^2 $ and the Dirichlet space $ \mathcal{D}^2 $.
Chun Wang
doaj   +1 more source

Study of implicit delay fractional differential equations under anti-periodic boundary conditions

Advances in Difference Equations, 2020
This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions.
Arshad Ali, Kamal Shah, Thabet Abdeljawad   +2 more
doaj   +1 more source

Hyers–Ulam stability and discrete dichotomy

Journal of Mathematical Analysis and Applications, 2015
Abstract Let m be a given positive integer and let A be an m × m complex matrix. We prove that the discrete system X n + 1 = A X n , n ∈ Z + is Hyers–Ulam stable if and only if the matrix A possesses a discrete dichotomy. Also we prove that the scalar difference equation of order m x n + m
Dorel Barbu, Constantin Buşe, Afshan Tabassum   +2 more
openaire   +2 more sources

Estimation of Inexact Multimixed Additive‐Quadratic Mappings in Fuzzy Normed Spaces

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In the current study, we introduce a new model of multimixed additive‐quadratic mapping and then show that the system of several mixed additive‐quadratic equations defining a multimixed additive‐quadratic mapping can be unified and presented as a single equation. We also show that such mappings under some conditions are multi‐additive, multi‐quadratic,
Abasalt Bodaghi, Pramita Mishra
wiley   +1 more source

Study on existence and stability analysis for implicit neutral fractional differential equations of ABC derivative

Partial Differential Equations in Applied Mathematics
In this paper, we study the existence, uniqueness, and stability analysis of non-linear implicit neutral fractional differential equations involving the Atangana–Baleanu derivative in the Caputo sense. The Banach contraction principle theorem is employed
V. Sowbakiya, R. Nirmalkumar, K. Loganathan, C. Selvamani   +3 more
doaj   +1 more source

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

Fixed Point Technique: Stability Analysis of Quadratic Functional Equation in Various Quasi‐Banach Spaces

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this present work, we derive the solution of a quadratic functional equation and investigate the Ulam stability of this equation in Banach spaces using fixed point and direct techniques. Mainly, we examine the stability results in quasi‐β‐Banach spaces and quasi‐fuzzy β‐Banach spaces by means of direct method as well as quasi‐Banach spaces by means ...
Kandhasamy Tamilvanan, Faruk Özger, S. A. Mohiuddine, Naeem Ahmad, Masho Jima Kabeto, Valerii Obukhovskii   +5 more
wiley   +1 more source

Hyers-Ulam Stability and Existence of Solutions to the Generalized Liouville-Caputo Fractional Differential Equations

Symmetry, 2020
The aim of this paper is to study the stability of generalized Liouville–Caputo fractional differential equations in Hyers–Ulam sense. We show that three types of the generalized linear Liouville–Caputo fractional differential equations are Hyers–Ulam ...
Kui Liu, Michal Feckan, Jinrong Wang
semanticscholar   +1 more source

A Fractional‐Order Alcoholism Model Incorporating Hypothetical Social Influence: A Theoretical and Numerical Study

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This study introduces a fractional‐order mathematical model for alcoholism dynamics using the Hilfer derivative to capture memory effects and hereditary properties within a unified framework. The model incorporates hypothetical social influence through sentiment‐based variables to represent positive and negative social interactions.
Ramsha Shafqat, Ateq Alsaadi, Abeer Alubaidi, Pramita Mishra   +3 more
wiley   +1 more source