Journal ArticleDOI
An Explication of Finite-Time Stability for Fractional Delay Model with Neutral Impulsive Conditions
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This article is published in Qualitative Theory of Dynamical Systems.The article was published on 2022-11-19. It has received 4 citations till now. The article focuses on the topics: Stability (learning theory) & State (computer science).read more
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Some properties and stability of Helmholtz model involved with nonlinear fractional difference equations and its relevance with quadcopter
TL;DR: In this article , a mathematical model associated with the Helmholtz equation as a second-order oscillator involved with nonlinear Caputo fractional difference equations was developed and the approximate solution of this model via the Ulam stability conception was determined.
Journal ArticleDOI
Existence and Stability Results for Nonlinear Implicit Random Fractional Integro-Differential Equations
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A new approach on approximate controllability of Sobolev-type Hilfer fractional differential equations
TL;DR: In this paper , the controllability of Sobolev-type Hilfer fractional control differential systems is investigated using fractional calculus, Gronwall's inequality, semigroup theory, and the Cauchy sequence.
Journal ArticleDOI
Relative Controllability of ψ-Caputo Fractional Neutral Delay Differential System
Panumart Sawangtong,K. Kaliraj +1 more
TL;DR: In this article , the relative controllability and Ulamn-Hyers stability
References
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Journal ArticleDOI
Finite-Time Stability of Continuous Autonomous Systems
TL;DR: It is shown that the regularity properties of the Lyapunov function and those of the settling-time function are related and converse Lyap Unov results can only assure the existence of continuous Lyap unov functions.
Journal ArticleDOI
A generalized Gronwall inequality and its application to a fractional differential equation
TL;DR: In this article, a generalized Gronwall inequality with singularity was used to study the dependence of the solution of a fractional differential equation on the order and the initial condition of the equation.
Journal ArticleDOI
Existence of mild solutions for fractional neutral evolution equations
Yong Zhou,Feng Jiao +1 more
TL;DR: By using the fractional power of operators and some fixed point theorems, a class of fractional neutral evolution equations with non local conditions with nonlocal conditions is discussed and various criteria on the existence and uniqueness of mild solutions are obtained.
Journal ArticleDOI
On the concept and existence of solution for impulsive fractional differential equations
TL;DR: In this paper, the existence of a solution for impulsive Cauchy problems with fractional derivative is investigated and sufficient conditions for existence of the solutions are established by applying fixed point methods.
Journal ArticleDOI
Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
TL;DR: A stability test procedure is proposed for linear nonhomogeneous fractional order systems with a pure time delay and sufficient conditions of this kind of stability are derived for particular class of fractional time-delay systems.
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