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Fractional Differential Inclusions with Non Instantaneous Impulses in Banach Spaces

Results in Nonlinear Analysis, 2019
This paper is devoted to study the existence of solutions for a class of fractional differential inclusions with non instantaneous impulses involving the Caputo fractional derivative in a Banach space.
Mouffak Benchohra, Mehdi Slimane
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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
Ravi P. Agarwal, Snezhana Hristova, Donal O’Regan   +2 more
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Caputo Fractional Differential Equations with Non-Instantaneous Random Erlang Distributed Impulses [PDF]

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, Krasimira Ivanova
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Existence and Nonexistence of Nontrivial Solutions for Fractional Advection–Dispersion Equation with Instantaneous and Non-Instantaneous Impulses [PDF]

Fractal and Fractional
In this paper, we consider a class of fractional advection–dispersion equations involving instantaneous and non-instantaneous impulses. The existence of nontrivial solutions is established via Bonanno and D’Aguì’s critical point theorem.
Dandan Min, Limin Guo
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Qualitative Analysis and Applications of Fractional Stochastic Systems with Non-Instantaneous Impulses [PDF]

Mathematics
Fractional stochastic differential Equations (FSDEs) with time delays and non-instantaneous impulses describe dynamical systems whose evolution relies not only on their current state but also on their historical context, random fluctuations, and ...
Muhammad Imran Liaqat, Abdelhamid Mohammed Djaouti   +1 more
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Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo Derivative [PDF]

Mathematics, 2022
This manuscript investigates the existence, uniqueness and Ulam–Hyers stability (UH) of solution to fractional differential equations with non-instantaneous impulses on an arbitrary domain.
Ahmed Salem, Sanaa Abdullah
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Practical stability of differential equations with non-instantaneous impulses [PDF]

Differential Equations & Applications, 2017
The concept of practical stability is generalized to nonlinear differential equations with non-instantaneous impulses. These type of impulses start their action abruptly at some points and then continue on given finite intervals. The practical stability and strict practical stability is studied using Lyapunov like functions and comparison results for ...
Ravi P. Agarwal, Snezhana Hristova, Donal 'Regan   +2 more
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Caputo-Fabrizio type fractional differential equations with non-instantaneous impulses: Existence and stability results

Alexandria Engineering Journal, 2023
In the current article, we establish the existence and uniqueness of solutions to the initial value problem for nonlinear implicit fractional differential equations with non-instantaneous impulses, including the Caputo-Fabrizio fractional derivative ...
Ahlem Benzahi, Nadjet Abada, Nouria Arar, Sahar Ahmed Idris, Mohammed S. Abdo, Wasfi Shatanawi   +5 more
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Variational approach to p-Laplacian fractional differential equations with instantaneous and non-instantaneous impulses

AIMS Mathematics, 2022
In this paper, we examine the existence of solutions of p-Laplacian fractional differential equations with instantaneous and non-instantaneous impulses.
Zhilin Li , Guoping Chen, Weiwei Long, Xinyuan Pan   +3 more
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Stability properties of neural networks with non-instantaneous impulses

Mathematical Biosciences and Engineering, 2019
In this paper, we consider neural networks in the case when the neurons are subject to a certain impulsive state displacement at fixed moments and the duration of this displacement is not negligible small (these are known as non-instantaneous impulses ...
Ravi Agarwal , Snezhana Hristova , Donal O’Regan, Radoslava Terzieva   +3 more
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