Results 61 to 70 of about 2,266,660 (165)

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

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  

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

Hyers–Ulam–Rassias Stability of a Jensen Type Functional Equation [PDF]

, 2000
In this paper we solve the Jensen type functional equation (1.1).
Trif, Tiberiu
core   +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 an Equation of Davison [PDF]

, 1999
In this work the Hyers–Ulam–Rassias stability of the Davison functional equation f(xy)+f(x+y)=f(xy+x)+f(y) is ...
Jung, Soon-Mo, Sahoo, Prasanna K
core   +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

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