Results 71 to 80 of about 6,477 (177)

Existence and Uniqueness Results for the Coupled Pantograph System With Caputo Fractional Operator and Hadamard Integral

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals.
Gunaseelan Mani, Vasu Lakshmanan, Abdul Razak Kachu Mohideen, Homan Emadifar, Patricia J. Y. Wong   +4 more
wiley   +1 more source

An Analysis of Controllability Criteria for Higher‐Order Caputo Fractional Differential Systems With State and Control Delays

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The present study investigates the controllability problems for higher‐order semilinear fractional differential systems (HOSLFDSs) with state and control delays in the context of the Caputo fractional derivative. Exploiting the invertibility of the Gramian matrix of fractional order, the necessary and sufficient conditions for the controllability ...
Anjapuli Panneer Selvam, Venkatesan Govindaraj, Raaid Alubady, Sina Etemad, Deepali   +4 more
wiley   +1 more source

Stability of generalized Newton difference equations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations Δn(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam ...
Wang Zhihua, Shi Yong-Guo
doaj   +1 more source

"Hyers-Ulam stability of hom-derivations in Banach algebras"

, 2022
THANASAK MOUKTONGLANG, Raweerote Suparatulatorn, CHOONKIL PARK, CHOONKIL PARK   +3 more
openalex   +1 more source

Existence and Ulam-Hyers-Rassias stability of stochastic differential equations with random impulses

, 2021
Wenxuan Lang, Sufang Deng, Xiao‐Bao Shu, Fei Xu   +3 more
openalex   +2 more sources

Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation

Complexity, 2019
In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.
Nguyen Ngoc Phung, Bao Quoc Ta, Ho Vu
doaj   +1 more source

Approximate solutions and Hyers–Ulam stability for a system of the coupled fractional thermostat control model via the generalized differential transform [PDF]

, 2021
Sina Etemad, Brahim Tellab, Jehad Alzabut, Shahram Rezapour, Mohamed I. Abbas   +4 more
openalex   +1 more source

Hyers–Ulam Stability Results for a Functional Inequality of s , t -Type in Banach Spaces [PDF]

, 2022
Raweerote Suparatulatorn, Tanadon Chaobankoh   +1 more
openalex   +1 more source

Stability in the Sense of Hyers–Ulam–Rassias for the Impulsive Volterra Equation

Fractal and Fractional
This article aims to use various fixed-point techniques to study the stability issue of the impulsive Volterra integral equation in the sense of Ulam–Hyers (sometimes known as Hyers–Ulam) and Hyers–Ulam–Rassias.
El-sayed El-hady, Süleyman Öğrekçi, Tania A. Lazăr, Vasile L. Lazăr   +3 more
doaj   +1 more source

On the Stability of Nonautonomous Linear Impulsive Differential Equations

Journal of Function Spaces and Applications, 2013
We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
doaj   +1 more source