Asymptotically Periodic Solutions for Caputo Type Fractional Evolution Equations

In this paper, we prove that Caputo type linear fractional evolution equations do not have nonconstant periodic solutions. Then, we study asymptotically periodic solutions of semilinear fractional evolution equations and establish existence and uniqueness results by using theory of semigroup and fix...

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Veröffentlicht in:Fractional calculus & applied analysis 2018-10, Vol.21 (5), p.1294-1312
Hauptverfasser: Ren, Lulu, Wang, JinRong, Fečkan, Michal
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we prove that Caputo type linear fractional evolution equations do not have nonconstant periodic solutions. Then, we study asymptotically periodic solutions of semilinear fractional evolution equations and establish existence and uniqueness results by using theory of semigroup and fixed point theorems. Finally, two examples are given to illustrate the theoretical results.
ISSN:1311-0454
1314-2224
DOI:10.1515/fca-2018-0068