Weighted pseudo almost automorphic solutions to a semilinear fractional differential equation with Stepanov-like weighted pseudo almost automorphic nonlinear term

Yong-Kui Chang, Mei-Juan Zhang and Rodrigo Ponce

Applied Mathematics and Computation, 2015, vol. 257, issue C, 158-168

Abstract: In this paper, we investigate some existence results of weighted pseudo almost automorphic solutions to a semilinear fractional differential equation in Banach spaces with Stepanov-like weighted pseudo almost automorphic nonlinear term. Our main results are based upon ergodicity and composition theorems of Stepanov-like weighted pseudo almost automorphic functions combined with fixed point techniques.

Keywords: Fractional differential equation; Sp-weighted pseudo almost automorphic function; Fixed point theorems (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300314011345
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:158-168

DOI: 10.1016/j.amc.2014.08.040

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().