Results 151 to 160 of about 1,858 (164)

Ulam‐Hyers‐Rassias stability for generalized fractional differential equations

Mathematical Methods in the Applied Sciences, 2021
In this paper, we present a generalized Gronwall inequality with singularity. Using this inequality, we investigate the existence, uniqueness, and Ulam‐Hyers‐Rassias stability for solutions of a class of generalized nonlinear fractional differential equations of order α (1 < α < 2). In this way, we improve and generalize several earlier outcomes.
Djalal Boucenna, Abdellatif Ben Makhlouf, El‐sayed El‐hady, Mohamed Ali Hammami   +3 more
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A class of impulsive nonautonomous differential equations and Ulam–Hyers–Rassias stability

Mathematical Methods in the Applied Sciences, 2014
In this paper, we study a model described by a class of impulsive nonautonomous differential equations. This new impulsive model is more suitable to show dynamics of evolution processes in pharmacotherapy than the classical one. We apply Krasnoselskii's fixed point theorem to obtain existence of solutions.
Wang, JinRong, Lin, Zeng
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On the $$\beta $$ β -Ulam–Hyers–Rassias stability of nonautonomous impulsive evolution equations

Journal of Applied Mathematics and Computing, 2014
This paper deals with the \(\beta\)-Ulam-Hyers-Rassias stability of nonautonomous impulsive evolution equations. Firstly, the concept of this stability is given and some existence results of nonautonomous impulsive evolution equations are obtained on a compact interval and an unbounded interval.
Yu, Xiulan, Wang, Jinrong, Zhang, Yuruo
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Ulam–Hyers–Rassias Mittag–Leffler stability for the Darboux problem for partial fractional differential equations

Rocky Mountain Journal of Mathematics, 2021
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Makhlouf, Abdellatif Ben, Boucenna, Djalal   +1 more
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Ulam–Hyers–Rassias stability problem for several kinds of mappings

Afrika Matematika, 2012
Let \(f\) maps a (topological) vector space into a Banach space and let \(\alpha,\beta\) be given scalars. The stability of functional equations of the form \[ f(\alpha(x+y))+f(\beta(x-y))=(\alpha+\beta)f(x)+(\alpha-\beta)f(y) \] is considered.
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Ulam–Hyers–Rassias Stability of Neutral Functional Integrodifferential Evolution Equations with Non-instantaneous Impulses on an Unbounded Interval

Qualitative Theory of Dynamical Systems, 2023
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Bensalem, Abdelhamid, Salim, Abdelkrim, Benchohra, Mouffak   +2 more
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Ulam-Hyers-Rassias stability for stochastic integral equations of Volterra type

2019
In this paper, we study the Ulam--Hyers--Rassias stability for stochastic integral equations of Volterra type by using fixed point theorem and Pachpatte's inequality.
Ho, Vu, Dong, Le Si
openaire   +1 more source

Ulam-Hyers-Rassias stability of some quasilinear partial differential equations of first order

Carpathian Journal of Mathematics, 2019
In this paper we investigate the Ulam-Hyers-Rassias stability for some quasilinear partial differential equations.
NICOLAIE LUNGU, DANIELA MARIAN
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Ulam-Hyers-Rassias Stability and Existence of Solutions to Nonlinear Fractional Difference Equations with Multipoint Summation Boundary Condition

Acta Mathematica Scientia, 2020
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Haider, Syed Sabyel, Ur Rehman, Mujeeb
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Ulam–Hyers–Rassias stability for stochastic differential equations driven by the time-changed Brownian motion

Systems & Control Letters
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Qinyi Long, Chunhua Yang, Zhi Li, Liping Xu   +3 more
openaire   +2 more sources