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] On recent developments in the theory of boundary value problems for impulsive fractional differential equations

JR Wang, Y Zhou, M Fec - Computers & Mathematics with Applications, 2012‏ - Elsevier
This paper is motivated from some recent papers treating the boundary value problems for
impulsive fractional differential equations. We first make a counterexample to show that the …

[ספר][B] Basic theory of fractional differential equations

Y Zhou - 2023‏ - books.google.com
This accessible monograph is devoted to a rapidly develo** area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …

[ספר][B] Implicit fractional differential and integral equations: existence and stability

S Abbas, M Benchohra, JR Graef, J Henderson - 2018‏ - books.google.com
This book deals with the existence and stability of solutions to initial and boundary value
problems for functional differential and integral equations and inclusions involving the …

[ספר][B] Topics in fractional differential equations

S Abbas, M Benchohra, GM N'Guérékata - 2012‏ - books.google.com
​​​ Topics in Fractional Differential Equations is devoted to the existence and uniqueness
of solutions for various classes of Darboux problems for hyperbolic differential equations or …

[ספר][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 …

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 …

On the concept and existence of solution for impulsive fractional differential equations

M Fec, Y Zhou, JR Wang - Communications in Nonlinear Science and …, 2012‏ - Elsevier
This paper is motivated from some recent papers treating the problem of the existence of a
solution for impulsive differential equations with fractional derivative. We firstly show that the …

Analysis of multipoint impulsive problem of fractional-order differential equations

K Shah, B Abdalla, T Abdeljawad, R Gul - Boundary Value Problems, 2023‏ - Springer
This manuscript is related to establishing appropriate results for the existence and
uniqueness of solutions to a class of nonlinear impulsive implicit fractional-order differential …

[HTML][HTML] Laplace transform and fractional differential equations

L Kexue, P Jigen - Applied Mathematics Letters, 2011‏ - Elsevier
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