Unstable manifolds for fractional differential equations

Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung

Beitragende

Abstract

We prove the existence of unstable manifolds for an abstract semilinear fractional differential equation Dαu(t) = Au(t) + f(u(t)); u(0) = u0; on a Banach space. We then develop a general approach to establish a semidiscrete approximation of unstable manifolds. The main assumption of our results are naturally satisfied.

Details

OriginalspracheEnglisch
Seiten (von - bis)58-72
Seitenumfang15
FachzeitschriftEurasian Journal of Mathematical and Computer Applications
Jahrgang10
Ausgabenummer3
PublikationsstatusVeröffentlicht - 2022
Peer-Review-StatusJa

Externe IDs

ORCID /0000-0003-0967-6747/work/172084901

Schlagworte

ASJC Scopus Sachgebiete

Schlagwörter

  • Abstract differential equations, Analytic c -semigroups, Banach spaces, Compact convergence of resolvents, Discretization in space, Fractional differential equations, Fractional powers of operators, Hyperbolic equilibrium point, Parabolic problem, Semidiscretization, Unstable manifolds