A survey on impulsive fractional differential equations

JR Wang, M Fečkan, Y Zhou - Fractional Calculus and Applied …, 2016 - degruyter.com
Recently, in series of papers we have proposed different concepts of solutions of impulsive
fractional differential equations (IFDE). This paper is a survey of our main results about IFDE …

A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations

R Agarwal, S Hristova, D O'Regan - Fractional Calculus and Applied …, 2016 - degruyter.com
We present an overview of the literature on solutions to impulsive Caputo fractional
differential equations. Lyapunov direct method is used to obtain sufficient conditions for …

[HTML][HTML] Stability of ψ-Hilfer impulsive fractional differential equations

JVC Sousa, KD Kucche, EC De Oliveira - Applied Mathematics Letters, 2019 - Elsevier
In this paper, we investigate the sufficient conditions for existence and uniqueness of
solutions and δ-Ulam–Hyers–Rassias stability of an impulsive fractional differential equation …

[图书][B] Non-instantaneous impulses in differential equations

R Agarwal, S Hristova, D O'Regan, R Agarwal… - 2017 - Springer
Non-instantaneous Impulses in Differential Equations | SpringerLink We’re sorry, something
doesn't seem to be working properly. Please try refreshing the page. If that doesn't work …

[图书][B] Fractional differential equations and inclusions: classical and advanced topics

S Abbas, M Benchohra, JE Lazreg, JJ Nieto, Y Zhou - 2023 - World Scientific
In this chapter, we introduce notations, definitions, and preliminary facts that will be used in
the remainder of this book. Some notations and definitions from the fractional calculus, some …

The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces

K Balachandran, JJ Trujillo - Nonlinear Analysis: Theory, Methods & …, 2010 - Elsevier
In this paper we prove the existence of solutions of certain kinds of nonlinear fractional
integrodifferential equations in Banach spaces. Further, Cauchy problems with nonlocal …

Controllability of semilinear impulsive Atangana-Baleanu fractional differential equations with delay

D Aimene, D Baleanu, D Seba - Chaos, Solitons & Fractals, 2019 - Elsevier
We discuss the controllability of semilinear differential equations of fractional order with
impulses and delay. We make use of the Atangana-Baleanu derivative. Our main tools are …

Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions

A Zada, J Alzabut, H Waheed, IL Popa - Advances in Difference Equations, 2020 - Springer
This paper is concerned with a class of impulsive implicit fractional integrodifferential
equations having the boundary value problem with mixed Riemann–Liouville fractional …

Existence results for fractional impulsive integrodifferential equations in Banach spaces

K Balachandran, S Kiruthika, JJ Trujillo - Communications in Nonlinear …, 2011 - Elsevier
This paper is mainly concerned with the existence of solutions of first order nonlinear
impulsive fractional integrodifferential equations in Banach spaces. The results are obtained …

Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses

A Zada, S Ali - International Journal of Nonlinear Sciences and …, 2018 - degruyter.com
This paper deals with a new class of non-linear impulsive sequential fractional differential
equations with multi-point boundary conditions using Caputo fractional derivative, where …