Existence of S -asymptotically ω -periodic solutions for fractional order functional integro-differential equations with infinite delay

Existence of S -asymptotically ω -periodic solutions for fractional order functional integro-differential equations with infinite delay

We study S -asymptotically ω -periodic solutions of the abstract fractional equation u ′ = ∂ − α + 1 A u + f ( t , u t ) , 1 < α < 2 , where A is a linear operator of sectorial type μ < 0 .

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Veröffentlicht in:Nonlinear analysis 2010-02, Vol.72 (3), p.1683-1689
Hauptverfasser: Cuevas, Claudio, César de Souza, Julio
Format: Artikel
Sprache:eng
Schlagworte:
[formula omitted]-asymptotically [formula omitted]-periodic function
Difference and functional equations, recurrence relations
Exact sciences and technology
Finite differences and functional equations
Fractional integro-differential equations
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Operator theory
Phase space
Sciences and techniques of general use
Solution operator
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Zusammenfassung:We study S -asymptotically ω -periodic solutions of the abstract fractional equation u ′ = ∂ − α + 1 A u + f ( t , u t ) , 1 < α < 2 , where A is a linear operator of sectorial type μ < 0 .
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2009.09.007