On some recent developments in Ulam′ s type stability

N Brillouët-Belluot, J Brzdęk… - Abstract and applied …, 2012 - Wiley Online Library
On Some Recent Developments in Ulam′s Type Stability - Brillouët-Belluot - 2012 -
Abstract and Applied Analysis - Wiley Online Library Skip to Article Content Skip to Article …

[HTML][HTML] Ulam's type stability of impulsive ordinary differential equations

JR Wang, M Fec, Y Zhou - Journal of Mathematical Analysis and …, 2012 - Elsevier
In this paper, we introduce four Ulam's type stability concepts for impulsive ordinary
differential equations. By applying the integral inequality of Gronwall type for piecewise …

[HTML][HTML] Nonlinear impulsive problems for fractional differential equations and Ulam stability

JR Wang, Y Zhou, M Fec - Computers & Mathematics with Applications, 2012 - Elsevier
In this paper, the first purpose is treating Cauchy problems and boundary value problems for
nonlinear impulsive differential equations with Caputo fractional derivative. We introduce the …

A general class of impulsive evolution equations

M Fečkan, JR Wang - 2015 - projecteuclid.org
One of the novelty of this paper is the study of a general class of impulsive differential
equations, which is more reasonable to show dynamics of evolution processes in …

On a new class of impulsive fractional differential equations

JR Wang, Y Zhou, Z Lin - Applied Mathematics and Computation, 2014 - Elsevier
In this paper, we consider fractional ordinary differential equations with not instantaneous
impulses. Firstly, we construct a uniform framework to derive a formula of solutions for …

Ulam–Hyers stability of Caputo type fractional stochastic neutral differential equations

A Ahmadova, NI Mahmudov - Statistics & Probability Letters, 2021 - Elsevier
Ulam–Hyers stability of Caputo type fractional stochastic neutral differential equations -
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A uniform method to Ulam–Hyers stability for some linear fractional equations

JR Wang, X Li - Mediterranean Journal of Mathematics, 2016 - Springer
In this paper, we first utilize fractional calculus, the properties of classical and generalized
Mittag-Leffler functions to prove the Ulam–Hyers stability of linear fractional differential …

Ulam–Hyers–Mittag-Leffler stability of fractional-order delay differential equations

JR Wang, Y Zhang - Optimization, 2014 - Taylor & Francis
In this paper, we first prove two existence and uniqueness results for fractional-order delay
differential equation with respect to Chebyshev and Bielecki norms. Secondly, we prove the …

Ulam–Hyers stability of fractional Langevin equations

JR Wang, X Li - Applied Mathematics and Computation, 2015 - Elsevier
In this paper, we discuss Ulam–Hyers stability of nonlinear fractional Langevin equations by
using the boundedness, monotonicity and nonnegative properties of classical and …

On the Hyers-Ulam stability of a first order partial differential equation

N Lungu, D Popa - Carpathian Journal of Mathematics, 2012 - JSTOR
On the Hyers-Ulam stability of a first order partial differential equation Page 1 CARPATHIAN J.
MATH. 28 (2012), No. 1, 77 - 82 Online version available at http : / /Carpathian .uhm. ro Print …