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 …

Stability analysis of Caputo–like discrete fractional systems

D Baleanu, GC Wu, YR Bai, FL Chen - Communications in Nonlinear …, 2017 - Elsevier
This study investigates stability of Caputo delta fractional difference equations. Solutions'
monotonicity and asymptotic stability of a linear fractional difference equation are discussed …

[KNIHA][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 Skip to main content
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[HTML][HTML] Nonlocal Hadamard fractional boundary value problem with Hadamard integral and discrete boundary conditions on a half-line

G Wang, K Pei, RP Agarwal, L Zhang… - Journal of computational …, 2018 - Elsevier
This article investigates a new class of boundary value problems of one-dimensional lower-
order nonlinear Hadamard fractional differential equations and nonlocal multi-point discrete …

Lyapunov functions for Riemann–Liouville-like fractional difference equations

GC Wu, D Baleanu, WH Luo - Applied Mathematics and Computation, 2017 - Elsevier
Discrete memory effects are introduced by fractional difference operators. Asymptotic
stabilities of nonlinear fractional difference equations are investigated in this paper. A linear …

Investigating the impact of memory effects on computer virus population dynamics: A fractal–fractional approach with numerical analysis

İ Avcı, A Hussain, T Kanwal - Chaos, Solitons & Fractals, 2023 - Elsevier
In this study, we investigate the impact of memory effects through the application of the
fractal–fractional derivative operator on population dynamics in computer viruses. By …

Existence and Hyers‐Ulam stability of fractional nonlinear impulsive switched coupled evolution equations

JR Wang, K Shah, A Ali - Mathematical Methods in the Applied …, 2018 - Wiley Online Library
Existence and Hyers‐Ulam stability of fractional nonlinear impulsive switched coupled evolution
equations - Wang - 2018 - Mathematical Methods in the Applied Sciences - Wiley Online …

Stability analysis of nonlinear Hadamard fractional differential system

G Wang, K Pei, YQ Chen - Journal of the Franklin Institute, 2019 - Elsevier
The stability of the zero solution of a class of nonlinear Hadamard type fractional differential
system is investigated by utilizing a new fractional comparison principle. The novelty of this …

Successive iterations and positive extremal solutions for a Hadamard type fractional integro-differential equations on infinite domain

K Pei, G Wang, Y Sun - Applied Mathematics and Computation, 2017 - Elsevier
A Hadamard type fractional integro-differential equation on infinite intervals is considered.
By using monotone iterative technique, we not only get the existence of positive solutions …

[HTML][HTML] Qualitative analyses of integro-fractional differential equations with Caputo derivatives and retardations via the Lyapunov–Razumikhin method

O Tunç, Ö Atan, C Tunç, JC Yao - Axioms, 2021 - mdpi.com
The purpose of this paper is to investigate some qualitative properties of solutions of
nonlinear fractional retarded Volterra integro-differential equations (FrRIDEs) with Caputo …