Results 71 to 80 of about 2,266,660 (160)

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

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

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

Qualitative Analysis of a Coupled Fractional‐Order System Under Generalized Weighted Caputo Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates a new class of coupled fractional‐order systems driven by the generalized weighted fractional operator in the Caputo sense, recently introduced with a modified Mittag‐Leffler kernel and an auxiliary strictly increasing function φ. This operator provides a unified framework that recovers many well‐known fractional derivatives and
Fawziah M. Alotaibi, Smritijit Sen
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  

Generalized approximation Hyers-Ulam-Rassias type stability of generalized homomorphisms in quasi-Banach algebras

, 2022
In this paper, we study to solve the Hyers-Ulam-Rassias stability of generalized homomorphisms in quasi-Banach algebras, associated with Jensen-type additive functional equation with 2k-variables.
LY VAN AN
core   +1 more source

Hyers–Ulam Stability of Mixed Quintic and Sextic Equations in Matrix‐Valued Non‐Archimedean Random Normed Spaces via Fixed Point Methods

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper establishes the Hyers–Ulam stability of mixed quintic and sextic functional equations within matrix non‐Archimedean random normed spaces. Using fixed‐point techniques, we derive conditions under which approximate solutions guarantee exact solutions, generalizing stability results to these structured probabilistic spaces.
Khalil Shahbazpour, Ali Ebadian, Ali Jabbari, A. M. Nagy   +3 more
wiley   +1 more source

Controllability of Fractional Control Systems With Deformable Dynamics in Finite‐Dimensional Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we investigate the controllability of fractional control systems for deformable bodies in finite‐dimensional spaces. To achieve this, we employ a methodology based on the fractional exponential matrix associated with deformable bodies, the controllability Gramian matrix, and an iterative technique.
Boulkhairy Sy, Cheikh Seck, A. M. Nagy
wiley   +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