Results 101 to 110 of about 2,398,627 (204)

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

A Robust Memory‐Based Neuro‐Computational Analysis of Coffee Berry Disease Using Fractional Calculus and Deep Learning Approach

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Coffee plants are susceptible to a variety of diseases that threaten the quantity and quality of coffee production. Coffee berry disease (CBD) poses a significant threat to global coffee production, particularly in Africa, and creates a potential risk of expansion into coffee‐growing regions in Latin America and Asia. This study explores a novel hybrid
Muhammad Farhan, Zhi Ling, Saif Ullah, Taseer Muhammad, Ahmed Alshehri, Smritijit Sen   +5 more
wiley   +1 more source

Stability analysis of implicit fractional differential equations with anti-periodic integral boundary value problem

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, and generalized Ulam-Hyers-Rassias stability of the solution to an ...
Akbar Zada, Hira Waheed
doaj  

On the Hyers–Ulam–Rassias stability of functional equations in n-variables

Journal of Mathematical Analysis and Applications, 2004
In this interesting paper the author proves the stability in the sense of Hyers-Ulam-Rassias and Găvruţa for the functional equation \[ f(\varphi(X))=\phi(X)f(X)+\psi(X) \] and the stability in the sense of R. Ger for the functional equation \[ f(\varphi(X))=\phi(X)f(X), \] where \(X\) lies in \(n\)-variables. Some applications are given.
openaire   +2 more sources

Ulam’s stability for some linear conformable fractional differential equations

Advances in Difference Equations, 2020
In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
doaj   +1 more source

Contraction‐Type Fixed‐Point Theorem for Bivariate/Multivariate Self‐Mappings in Fuzzy Banach Spaces and Hyers–Ulam Stability of Multivariate Functional Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
To address the lack of dedicated tools for analyzing the stability of bivariate functional equations in fuzzy environments, this paper investigates fixed‐point theory and functional equation stability in fuzzy Banach spaces (FBSs). First, building on the Bag–Samanta fuzzy norm, we supplement and prove the “proposition on convergence preservation of ...
Gang Lyu, Yang Liu, Yuanfeng Jin, Choonkil Park, Erhan Güler   +4 more
wiley   +1 more source

A General System of Functional Equations Deriving From Additive, Quadratic, Cubic, and Quartic Mappings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the current study, we introduce a system of functional equations (FEs) deriving from the mixed type additive–quadratic and the mixed‐type cubic–quartic FEs which describes a multimixed additive–quadratic–cubic–quartic mapping. We also characterize such mappings and in fact, we represent the general system of the mixed‐type additive‐quadratic and the
Siriluk Donganont, Abasalt Bodaghi, Ammar Alsinai   +2 more
wiley   +1 more source

Hyers-Ulam-Rassias stability of some perturbed nonlinear second order ordinary differential equations

, 2023
In this paper we investigate the Hyers-Ulam-Rassias stability of a perturbed nonlinear second order ordinary differential equation using Gronwall-Bellman-Bihari type integral inequalities.
Fakunle, Ilesanmi, Arawomo, Peter Olutola   +1 more
core   +1 more source

On a singular case in the Hyers–Ulam–Rassias stability of the Wigner equation

Journal of Mathematical Analysis and Applications, 2004
The author considers the Hyers-Ulam-Rassias stability of the Wigner equation in Hilbert spaces basing on a paper by \textit{J. Chmieliński} and \textit{S.-M. Jung} [ibid. 254, 309--320 (2001; Zbl 0971.39016)] and a preprint by \textit{S.-M. Jung}. Let \(E\), \(F\) be real or complex Hilbert spaces and \(f: E\to F\) satisfy that \[ ||\langle f(x)| f(y ...
openaire   +1 more source

Generalized β-Hyers-Ulam-Rassias Stability of Impulsive Difference Equations. [PDF]

Comput Intell Neurosci, 2022
Almalki Y, Rahmat G, Ullah A, Shehryar F, Numan M, Ali MU.   +5 more
europepmc   +1 more source