Results 21 to 30 of about 3,597,774 (226)

Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives [PDF]

open access: yes, 2015
summary:The aim of this paper is to study the stability of fractional differential equations in Hyers-Ulam sense. Namely, if we replace a given fractional differential equation by a fractional differential inequality, we ask when the solutions of the ...
Xu, Tian-Zhou, Wang, Chun
core   +1 more source

On existence and stability results to a class of boundary value problems under Mittag-Leffler power law

open access: yesAdvances in Difference Equations, 2020
Some essential conditions for existence theory and stability analysis to a class of boundary value problems of fractional delay differential equations involving Atangana–Baleanu-Caputo derivative are established. The deserted results are derived by using
Gauhar Ali   +5 more
doaj   +1 more source

Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Linear Dynamic Equations

open access: yes, 2021
We present several new sufficient conditions for Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear dynamic equations for functions defined on a time scale with values in a Banach ...
Alghamdi, Maryam A.   +3 more
core   +1 more source

Ulam-Hyers Stability of Linear Differential Equation with General Transform

open access: yesSymmetry, 2023
The main aim of this study is to implement the general integral transform technique to determine Ulam-type stability and Ulam–Hyers–Mittag–Leffer stability. We are given suitable examples to validate and support the theoretical results. As an application,
S. Pinelas, A. Selvam, S. Sabarinathan
semanticscholar   +1 more source

Ulam-Hyers stability of a parabolic partial differential equation

open access: yesDemonstratio Mathematica, 2019
The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability.
Marian Daniela   +2 more
doaj   +1 more source

A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation

open access: yesNonlinear Engineering, 2021
An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A.   +5 more
doaj   +1 more source

Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition

open access: yesAdvances in Difference Equations, 2017
In this paper, we investigate four different types of Ulam stability, i.e., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional ...
Akbar Zada, Sartaj Ali, Yongjin Li
doaj   +1 more source

HYERS-ULAM STABILITY OF QUADRATIC FUNCTIONAL EQUATIONS [PDF]

open access: yes, 2020
In this paper,we establish the general solution and the generalized Hyers-Ulam stability problem ...
P Hyers-Ulam Stability Of Quadratic Functional Equations…   +1 more
core  

Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative

open access: yesJournal of Mathematics, 2021
In this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative.
Leila Sajedi   +2 more
doaj   +1 more source

Study of a nonlinear multi-terms boundary value problem of fractional pantograph differential equations

open access: yesAdvances in Difference Equations, 2021
In this research work, a class of multi-term fractional pantograph differential equations (FODEs) subject to antiperiodic boundary conditions (APBCs) is considered.
Muhammad Bahar Ali Khan   +5 more
doaj   +1 more source

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