Results 241 to 250 of about 11,444 (271)
Some of the next articles are maybe not open access.
Generalized Dichotomies and Hyers–Ulam Stability
Results in Mathematics, 2023We consider a semilinear and nonautonomous differential equation \begin{equation}\label{xx}x'=A(t)x+f(t,x) \quad t\ge 0, \end{equation} acting on an arbitrary Banach space $X$. Provided that the linear part $x'=A(t)x$ exhibits a very general form of dichotomic behaviour and that the nonlinear term $f$ is Lipschitz in the second variable (with a ...
D. Dragičević
openaire +2 more sources
International Journal of Systems Science, 2023
In this study, our main focus is on the analysis of the existence, controllability, and Hyers–Ulam stability of a neutral switched system with impulsive effects on non-uniform time domains. First, we use the Banach fixed point theorem and the time scales
B. Kumar, Muslim Malik
semanticscholar +1 more source
In this study, our main focus is on the analysis of the existence, controllability, and Hyers–Ulam stability of a neutral switched system with impulsive effects on non-uniform time domains. First, we use the Banach fixed point theorem and the time scales
B. Kumar, Muslim Malik
semanticscholar +1 more source
Hyers–Ulam stability for linear quaternion-valued differential equations with constant coefficient
Rocky Mountain Journal of Mathematics, 2022In this paper, we study Hyers-Ulam stability for linear differential equations in the sense of quaternionvalued framework. This shows that Laplace transformation is also valid for finding the approximate solution for linear quaternion-valued differential
Dan Chen, Michal Feckan, Jinrong Wang
semanticscholar +1 more source
, 2020
The article is devoted to the existence and Hyers-Ulam stability of the almost periodic solution to the fractional differential equation with impulse and fractional Brownian motion under nonlocal condition.
Yuchen Guo, Mengqi Chen, X. Shu, Fei Xu
semanticscholar +1 more source
The article is devoted to the existence and Hyers-Ulam stability of the almost periodic solution to the fractional differential equation with impulse and fractional Brownian motion under nonlocal condition.
Yuchen Guo, Mengqi Chen, X. Shu, Fei Xu
semanticscholar +1 more source
Mathematical methods in the applied sciences, 2022
The purpose of this paper is to discuss basic results of boundary value problems of fractional differential equations (BVP‐FDEs) via the concept of Caputo fractional derivative with respect to another function with the order α∈(1,2) .
H. Vu, J. Rassias, N. Hoa
semanticscholar +1 more source
The purpose of this paper is to discuss basic results of boundary value problems of fractional differential equations (BVP‐FDEs) via the concept of Caputo fractional derivative with respect to another function with the order α∈(1,2) .
H. Vu, J. Rassias, N. Hoa
semanticscholar +1 more source
Stochastics, 2018
In this paper, we investigate the existence and Hyers-Ulam stability for random impulsive stochastic functional differential equations with finite delays.
Shuangshuang Li +3 more
semanticscholar +1 more source
In this paper, we investigate the existence and Hyers-Ulam stability for random impulsive stochastic functional differential equations with finite delays.
Shuangshuang Li +3 more
semanticscholar +1 more source
, 2020
In this paper, we mainly consider the existence and Hyers-Ulam stability of solutions for a class of fractional differential equations involving time-varying delays and non-instantaneous impulses.
Danfeng Luo, Zhiguo Luo
semanticscholar +1 more source
In this paper, we mainly consider the existence and Hyers-Ulam stability of solutions for a class of fractional differential equations involving time-varying delays and non-instantaneous impulses.
Danfeng Luo, Zhiguo Luo
semanticscholar +1 more source
International journal of nonlinear sciences and numerical simulation, 2022
In this paper, we analyses the existence and Hyers–Ulam stability of a coupled system of three sequential fractional differential equations with coupled integral boundary conditions. This manuscript can be categorized into three parts: The Leray–Schauder
M. Subramanian +3 more
semanticscholar +1 more source
In this paper, we analyses the existence and Hyers–Ulam stability of a coupled system of three sequential fractional differential equations with coupled integral boundary conditions. This manuscript can be categorized into three parts: The Leray–Schauder
M. Subramanian +3 more
semanticscholar +1 more source
Mathematical methods in the applied sciences, 2018
In this article, we deal with the existence and Hyers‐Ulam stability of solution to a class of implicit fractional differential equations (FDEs), having some initial and impulsive conditions. Some adequate conditions for the required results are obtained
K. Shah, Arshad Ali, S. Bushnaq
semanticscholar +1 more source
In this article, we deal with the existence and Hyers‐Ulam stability of solution to a class of implicit fractional differential equations (FDEs), having some initial and impulsive conditions. Some adequate conditions for the required results are obtained
K. Shah, Arshad Ali, S. Bushnaq
semanticscholar +1 more source
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020
Let q be a positive integer and let (an) and (bn) be two given ℂ-valued and q-periodic sequences. First we prove that the linear recurrence in ℂ 0.1$$x_{n + 2} = a_nx_{n + 1} + b_nx_n,\quad n\in {\open Z}_+ $$is Hyers–Ulam stable if and only if the ...
C. Buse, V. Lupulescu, D. O’Regan
semanticscholar +1 more source
Let q be a positive integer and let (an) and (bn) be two given ℂ-valued and q-periodic sequences. First we prove that the linear recurrence in ℂ 0.1$$x_{n + 2} = a_nx_{n + 1} + b_nx_n,\quad n\in {\open Z}_+ $$is Hyers–Ulam stable if and only if the ...
C. Buse, V. Lupulescu, D. O’Regan
semanticscholar +1 more source