Results 61 to 70 of about 2,266,660 (160)

On the Stability of Fractional Integro‐Differential Equations of Ψ‐Hilfer Type

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, we investigate some properties such as the existence, uniqueness, and Ulam–Hyers–Rassias stability for the fractional Volterra–Fredholm integrodifferential equations of Ψ‐Hilfer type with boundary conditions. We prove the desired results by using the Banach fixed point theorem and the Schauder fixed point theorem.
Malayin A. Mohammed, Sahar M. A. Maqbol, Ram G. Metkar, Udhayakumar Ramalingam   +3 more
wiley   +1 more source

Representation of Multilinear Mappings and s‐Functional Inequality

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the current research, we introduce the multilinear mappings and represent the multilinear mappings as a unified equation. Moreover, by applying the known direct (Hyers) manner, we establish the stability (in the sense of Hyers, Rassias, and Găvruţa) of the multilinear mappings, associated with the single multiadditive functional inequality.
Abasalt Bodaghi, Pramita Mishra
wiley   +1 more source

Nonlinear analysis for Hilfer fractional differential equations

Franklin Open
In this paper, we discuss nonlinear Hilfer fractional differential equations with separated boundary conditions. Using the well-known Leggett–Williams theorem, we first explore the existence of multiple positive solutions for the nonlinear Hilfer ...
Debananda Basua, Swaroop Nandan Bora
doaj   +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   +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

Stability of the Cauchy-Jensen Functional Equation in C∗-Algebras: A Fixed Point Approach

Fixed Point Theory and Applications, 2008
we prove the Hyers-Ulam-Rassias stability of C∗-algebra homomorphisms and of generalized derivations on C∗-algebras for the following Cauchy-Jensen functional equation 2f((x+y)/2+z)=f(x)+f(y)+2f(z), which was introduced and investigated by Baak
Jong Su An, Choonkil Park
doaj   +1 more source

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

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 Hyers–Ulam and Hyers–Ulam–Rassias Stability of a Nonlinear Second-Order Dynamic Equation on Time Scales

, 2021
In this paper, we obtain sufficient conditions for Hyers–Ulam and Hyers–Ulam–Rassias stability of an abstract second–order nonlinear dynamic equation on bounded time scales.
Alaa E. Hamza, Maryam A. Alghamdi, Mymonah S. Alharbi   +2 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