Results 61 to 70 of about 2,398,519 (163)

Uniqueness and Ulam–Hyers–Rassias stability results for sequential fractional pantograph q-differential equations

, 2022
We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach’s contraction mapping principle.
Francisco Martínez, Mohamed Houas, Mohammed K. A. Kaabar, Mohammad Esmael Samei, Martínez González, Francisco Martín, Samei, Mohammad Esmael, Houas, Mohamed, A. Kaabar, Mohammed K.   +7 more
core   +1 more source

An Analytical Study of Variable‐Coefficient Boundary Value Problems With Generalized Tempered Fractional Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate a class of nonlinear tempered fractional boundary value problems (BVPs) with a generalized Caputo‐type derivative with respect to a kernel function. The problem includes variable coefficients, a nonlinear term depending on lower‐order derivatives, a tempered fractional integral term, and a nonlocal multipoint integral ...
Jabr Aljedani, Smritijit Sen
wiley   +1 more source

Mittag-leffler-hyers-ulam stability of prabhakar fractional integral equation

, 2021
In this paper, we define and investigate Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability of Prabhakar fractional integral equation. © 2021, Semnan University, Center of Excellence in Nonlinear Analysis and Applications.
Eghbali, N., Moharramnia, A., Rassias, J.M.   +2 more
core  

Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations [PDF]

, 2017
We study different kinds of stabilities for a class of very general nonlinear integro-differential equations involving a function which depends on the solutions of the integro-differential equations and on an integral of Volterra type.
L.P. Castro, Castro, L. P., Simões, A. M., A.M. Simões   +3 more
core   +1 more source

On the Stability of a Cubic Functional Equation in Random Normed Spaces

Journal of Mathematical Extension, 2009
The concept of Hyers-Ulam-Rassias stability has been originated from a stability theorem due to Th. M. Rassias. Recently, the Hyers-Ulam-Rassias stability of the functional equation f(x + 2y) + f(x − 2y) = 2f(x) − f(2x) + 4n f(x + y) + f(x − y) o ,
H. Azadi Kenary
doaj  

Differential Methods for HU Stability of Backward Shift Operators via Weight Sequences

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a new concept of jth weighted backward shift operators on weighted Hardy spaces Hμ2. We introduce the operator Ωγj and characterize its boundedness in certain sequences associated with the weights. After that, we establish HU stability of the jth weighted backward shift operator Υenj and provide conditions under which stability ...
Zohreh Kefayati, Mohammad Taghi Heydari, Nawab Hussain, Hamed Alsulmi, Tareq Al-shami   +4 more
wiley   +1 more source

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

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

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

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