Results 1 to 10 of about 8,355 (145)

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, Abdelkrim Salim, Khalida Aissani, Mouffak Benchohra, Erdal Karapinar   +4 more
doaj   +2 more sources

On Ψ-Hilfer Fractional Integro-Differential Equations with Non-Instantaneous Impulsive Conditions

Fractal and Fractional, 2022
We establish sufficient conditions for the existence of solutions of an integral boundary value problem for a Ψ-Hilfer fractional integro-differential equations with non-instantaneous impulsive conditions.
Ramasamy Arul, Panjayan Karthikeyan, Kulandhaivel Karthikeyan, Palanisamy Geetha, Ymnah Alruwaily, Lamya Almaghamsi, El-sayed El-hady   +6 more
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Stable manifolds for non-instantaneous impulsive nonautonomous differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2019
In this paper, we study stable invariant manifolds for a class of nonautonomous non-instantaneous impulsive equations where the homogeneous part has a nonuniform exponential dichotomy.
Mengmeng Li, JinRong Wang, Donal O'Regan
doaj   +3 more sources

Periodic solutions for conformable type non-instantaneous impulsive differential equations

Electronic Journal of Differential Equations, 2021
In this article we study a type of conformable non-instantaneous impulsive equation with periodic effects. We find a Cauchy matrix that can provide solutions of linear and nonlinear problems and prove some of their properties. Also we study the existence of periodic solution of different types of conformable non-instantaneous impulsive differential ...
Yuanlin Ding, Jinrong Wang
doaj   +3 more sources

Stability of Conformable Non-autonomous Non-instantaneous Impulsive Differential Equations

Miskolc Mathematical Notes
This paper focus on a type of conformable non-autonomous non-instantaneous impulsive equation. Firstly, we give a kind of non-autonomous conformable Cauchy matrix to present the solution of linear and nonlinear systems.
Yuanlin Ding
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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
doaj   +2 more sources

Non-Instantaneous Impulsive Boundary Value Problems Containing Caputo Fractional Derivative of a Function with Respect to Another Function and Riemann–Stieltjes Fractional Integral Boundary Conditions

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, Yasintorn Thadang, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
doaj   +1 more source

On the solution of \(\mathcal{T}-\)controllable abstract fractional differential equations with impulsive effects

Cubo, 2023
In this research article, we delimitate the definition of mild solution for abstract fractional differential equations with state-dependent delay (AFDEw/SDD) of order \(\alpha\in(1,2)\) with impulsive effects and compare the solution to the second-order ...
Ganga Ram Gautam, Sandra Pinelas, Manoj Kumar, Namrata Arya, Jaimala Bishnoi   +4 more
doaj   +1 more source

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
Agarwal, Ravi, Hristova, Snezhana, O’Regan, Donal   +2 more
openaire   +3 more sources

Caputo–Fabrizio fractional differential equations with non instantaneous impulses

Rendiconti del Circolo Matematico di Palermo Series 2, 2021
<abstract><p>The subjuct of this paper is the existence of solutions for a class of Caputo-Fabrizio fractional differential equations with instantaneous impulses. Our results are based on Schauder's and Monch's fixed point theorems and the technique of the measure of noncompactness.
Saı̈d Abbas, Mouffak Benchohra, Juan J. Nieto   +2 more
openaire   +2 more sources