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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 …
differential equations. Lyapunov direct method is used to obtain sufficient conditions for …
Stability analysis of Caputo–like discrete fractional systems
This study investigates stability of Caputo delta fractional difference equations. Solutions'
monotonicity and asymptotic stability of a linear fractional difference equation are discussed …
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
Advertisement Springer Nature Link Account Menu Find a journal Publish with us Track your …
Advertisement Springer Nature Link Account Menu Find a journal Publish with us Track your …
[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 …
order nonlinear Hadamard fractional differential equations and nonlocal multi-point discrete …
Lyapunov functions for Riemann–Liouville-like fractional difference equations
Discrete memory effects are introduced by fractional difference operators. Asymptotic
stabilities of nonlinear fractional difference equations are investigated in this paper. A linear …
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
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 …
fractal–fractional derivative operator on population dynamics in computer viruses. By …
Existence and Hyers‐Ulam stability of fractional nonlinear impulsive switched coupled evolution equations
Existence and Hyers‐Ulam stability of fractional nonlinear impulsive switched coupled evolution
equations - Wang - 2018 - Mathematical Methods in the Applied Sciences - Wiley Online …
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 …
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 …
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
The purpose of this paper is to investigate some qualitative properties of solutions of
nonlinear fractional retarded Volterra integro-differential equations (FrRIDEs) with Caputo …
nonlinear fractional retarded Volterra integro-differential equations (FrRIDEs) with Caputo …