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 …

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 …

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 …

In this paper, we deal with nonlinear iterative integro-functional differential equations
(IIFDEs) of first order. We study the uniqueness of solutions and Ulam stabilities regarding …

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 …

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 …

In this paper, the concepts of Hyers–Ulam stability are generalized for non-autonomous
linear differential systems. We prove that the k-periodic linear differential matrix system Z˙(t) …

In this paper, we investigate the existence and Hyers-Ulam stability for random impulsive
stochastic functional differential equations with finite delays. Firstly, we prove the existence …

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 …

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 …