Results 21 to 30 of about 3,612 (180)

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

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

Ulam-Type Stability for a Boundary-Value Problem for Multi-Term Delay Fractional Differential Equations of Caputo Type

open access: yesAxioms, 2022
A boundary-value problem for a couple of scalar nonlinear differential equations with a delay and several generalized proportional Caputo fractional derivatives is studied. Ulam-type stability of the given problem is investigated.
Ravi P. Agarwal, Snezhana Hristova
doaj   +1 more source

Stability analysis for a class of implicit fractional differential equations involving Atangana–Baleanu fractional derivative

open access: yesAdvances in Difference Equations, 2021
Some fundamental conditions and hypotheses are established to ensure the existence, uniqueness, and stability to a class of implicit boundary value problems (BVPs) with Atangana–Baleanu–Caputo type derivative and integral.
Asma   +3 more
doaj   +1 more source

Existence and Stability of Implicit Fractional Differential Equations with Stieltjes Boundary Conditions Involving Hadamard Derivatives

open access: yesComplexity, 2021
In this article, we make analysis of the implicit fractional differential equations involving integral boundary conditions associated with Stieltjes integral and its corresponding coupled system. We use some sufficient conditions to achieve the existence
Danfeng Luo   +4 more
doaj   +1 more source

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 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

Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions

open access: yesAdvances in Difference Equations, 2020
This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results
Akbar Zada   +3 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

Home - About - Disclaimer - Privacy