Results 1 to 10 of about 165,391 (271)
On the fractional differential equations with not instantaneous impulses
Open Physics, 2016 Based on some previous works, an equivalent equations is obtained for the differential equations of fractional-orderq ∈(1, 2) with non-instantaneous impulses, which shows that there exists the general solution for this impulsive fractional-order systems.
Xianmin Zhang +2 more
exaly +7 more sources
Non-Instantaneous Impulses in Caputo Fractional Differential Equations [PDF]
Fractional Calculus and Applied Analysis, 2017 Recent modeling of real world phenomena give rise to Caputo type fractional order differential equations with non-instantaneous impulses. The main goal of the survey is to highlight some basic points in introducing non-instantaneous impulses in Caputo fractional differential equations. In the literature there are two approaches in interpretation of the
Donal O'Regan +2 more
exaly +5 more sources
Symmetry, 2022 In this paper, nonlinear differential equations with a generalized proportional Caputo fractional derivative and finite delay are studied in this paper. The eventual presence of impulses in the equations is considered, and the statement of initial value problems in three cases is defined: namely non-instantaneous impulses, instantaneous impulses and no
Donal O'Regan +2 more
exaly +4 more sources
Caputo Fractional Differential Equations with Non-Instantaneous Random Erlang Distributed Impulses
Fractal and Fractional, 2019 The p-moment exponential stability of non-instantaneous impulsive Caputo fractional differential equations is studied. The impulses occur at random moments and their action continues on finite time intervals with initially given lengths. The time between
Snezhana Hristova
exaly +4 more sources
On a delayed epidemic model with non-instantaneous impulses
Communications on Pure and Applied Analysis, 2020 In the traditional SIR model a new group into the population is added. It is the group of individuals that carries the disease but does not show symptoms. It is studied the case that the infectious diseases are controlled by a pulse vaccination strategy but in a non-instantaneous way.
Juan J Nieto
exaly +4 more sources
AEJ - Alexandria Engineering Journal, 2021 In this work, we consider a fuzzy delay differential system with non-instantaneous impulses and investigate the existence, uniqueness and total controllability results.
Kottakkaran Sooppy Nisar, Muslim Malik
exaly +4 more sources
Second Order Semilinear Volterra-Type Integro-Differential Equations with Non-Instantaneous Impulses
Mathematics, 2019 We consider a non-instantaneous system represented by a second order nonlinear differential equation in a Banach space E. We use the family of linear bounded operators introduced by Kozak, Darbo fixed point method and Kuratowski measure of noncompactness.
Yong Zhou +2 more
exaly +3 more sources
Non-Instantaneous Impulsive Fractional Integro-Differential Equations with State-Dependent Delay [PDF]
Sahand Communications in Mathematical Analysis, 2022 This paper deals with the existence and uniqueness of the mild solution of the fractional integro-differential equations with non-instantaneous impulses and state-dependent delay. Our arguments are based on the fixed point theory.
Nadia Benkhettou +4 more
doaj +1 more source
Axioms, 2021 In the present article we study existence and uniqueness results for a new class of boundary value problems consisting by non-instantaneous impulses and Caputo fractional derivative of a function with respect to another function, supplemented with ...
Suphawat Asawasamrit +3 more
doaj +1 more source
Stability of Differential Systems with Impulsive Effects
Mathematics, 2023 In this paper, a brief survey on the stability of differential systems with impulsive effects is provided. A large number of research results on the stability of differential systems with impulsive effects are considered.
Chunxiang Li, Fangshu Hui, Fangfei Li
doaj +1 more source