Weighted pseudo almost automorphic mild solutions for two-term fractional order differential equations

Edgardo Alvarez-Pardo and Carlos Lizama

Applied Mathematics and Computation, 2015, vol. 271, issue C, 154-167

Abstract: Using the notion of Weyl fractional derivative, we study the existence and uniqueness of weighted pseudo almost automorphic mild solutions for a class of two-term fractional order abstract differential equation in the form Dtαu′(t)+μDtβu(t)=Au(t)+Dtαf(t,u(t)),t≥0,0<α≤β≤1,μ≥0where A is a closed linear operator defined in a Banach space X and the forcing term f is Sp-weighted pseudo almost automorphic.

Keywords: Weighted pseudo almost automorphic functions; Two-term fractional order differential equations; Sectorial operator; Regularized family; Mild solutions (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:154-167

DOI: 10.1016/j.amc.2015.08.132

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