Approximations of stable manifolds in the vicinity of hyperbolic equilibrium points for fractional differential equations

Author:

Piskarev Sergey,Siegmund StefanORCID

Funder

Russian Foundation for Basic Research

Deutscher Akademischer Austauschdienst

German Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Reference40 articles.

1. Antonyuk, O.V., Kochubei, A.N., Piskarev, S.I.: On the compactness and the uniform continuity of a resolvent family for a fractional differential equation. (Russian. English summary). Dopov. Nats. Akad. Nauk Ukr. Mat. Pryr. Tekh. Nauky 2014 6, 7–12 (2014)

2. Bajlekova, E.G.: Fractional evolution equations in Banach spaces. Ph.D. thesis, Eindhoven University of Technology (2001)

3. Beyn, W.-J., Piskarev, S.I.: Shadowing for discrete approximations of abstract parabolic equations. Discrete Contin. Dyn. Syst. Ser. B 10, 19–42 (2008)

4. Cao, Q., Pastor, J., Piskarev, S., Siegmund, S.: Approximations of parabolic equations at the vicinity of hyperbolic equilibrium point. Numer. Funct. Anal. Optim. 35, 1287–1307 (2014)

5. Carvalho, A.N., Piskarev, S.I.: A general approximation scheme for attractors of abstract parabolic problems. Numer. Funct. Anal. Optim. 27, 785–829 (2006)

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1. Convergence Rates of a Finite Difference Method for the Fractional Subdiffusion Equations;Springer Proceedings in Mathematics & Statistics;2023

2. UNSTABLE MANIFOLDS FOR FRACTIONAL DIFFERENTIAL EQUATIONS;Eurasian Journal of Mathematical and Computer Applications;2022-09-27

3. Аттракторы, затенение и аппроксимация абстрактных полулинейных дифференциальных уравнений;Итоги науки и техники. Серия «Современная математика и ее приложения. Тематические обзоры»;2021-01

4. Inverse problem with final overdetermination for time-fractional differential equation in a Banach space;Journal of Inverse and Ill-posed Problems;2020-11-13

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