On a new class of impulsive fractional differential equations
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 …
impulses. Firstly, we construct a uniform framework to derive a formula of solutions for …
Hyers–Ulam stability of nonlinear differential equations with fractional integrable impulses
This paper is devoted to establish Bielecki–Ulam–Hyers–Rassias stability, generalized
Bielecki–Ulam–Hyers–Rassias stability, and Bielecki–Ulam–Hyers stability on a compact …
Bielecki–Ulam–Hyers–Rassias stability, and Bielecki–Ulam–Hyers stability on a compact …
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 …
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 …
using the boundedness, monotonicity and nonnegative properties of classical and …
[PDF][PDF] Hyers-Ulam stability of nth order linear differential equations
T Li, A Zada, S Faisal - J. Nonlinear Sci. Appl, 2016 - emis.de
The theory of stability is an important branch of the qualitative theory of differential
equations. In 1940, Ulam [24] raised a problem when can we assert that the solutions of an …
equations. In 1940, Ulam [24] raised a problem when can we assert that the solutions of an …
Ulam's-type stability of first-order impulsive differential equations with variable delay in quasi–Banach spaces
In this paper, Ulam's-type stabilities are studied for a class of first-order impulsive differential
equations with bounded variable delays on compact interval with finite number of impulses …
equations with bounded variable delays on compact interval with finite number of impulses …
Inverse and stability theorems for approximate representations of finite groups
WT Gowers, O Hatami - arXiv preprint arXiv:1510.04085, 2015 - arxiv.org
The $ U^ 2$ norm gives a useful measure of quasirandomness for real-or complex-valued
functions defined on finite (or, more generally, locally compact) groups. A simple Fourier …
functions defined on finite (or, more generally, locally compact) groups. A simple Fourier …
Stability, cohomology vanishing, and nonapproximable groups
M De Chiffre, L Glebsky, A Lubotzky… - Forum of Mathematics …, 2020 - cambridge.org
Several well-known open questions (such as: are all groups sofic/hyperlinear?) have a
common form: can all groups be approximated by asymptotic homomorphisms into the …
common form: can all groups be approximated by asymptotic homomorphisms into the …
On Ulam's type stability for a class of impulsive fractional differential equations with nonlinear integral boundary conditions.
In this manuscript, using Schaefer's fixed point theorem, we derive some sufficient conditions
for the existence of solutions to a class of fractional differential equations (FDEs). The …
for the existence of solutions to a class of fractional differential equations (FDEs). The …
[PDF][PDF] On Hyers-Ulam stability of nonlinear differential equations
J Huang, SM Jung, Y Li - Bulletin of the Korean Mathematical …, 2015 - academia.edu
ON HYERS-ULAM STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS 1. Introduction
and preliminaries In 1940, SM Ulam [49] posed the Page 1 Bull. Korean Math. Soc. 52 (2015) …
and preliminaries In 1940, SM Ulam [49] posed the Page 1 Bull. Korean Math. Soc. 52 (2015) …