S-asymptotically omega-periodic mild solutions to fractional differential equations

This article concerns the existence of mild solutions to the semilinear fractional differential equation $$ D_t^\alpha u(t)=Au(t)+D_t^{\alpha-1} f(t,u(t)),\quad t\geq 0 $$ with nonlocal conditions $u(0)=u_0 + g(u)$ where $D_t^\alpha(\cdot)$ ($1< \alpha < 2$) is the Riemann-Liouville der...

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Bibliographic Details
Main Authors: Darin Brindle, Gaston M. N'Guerekata
Format: Article
Language:English
Published: Texas State University 2020-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/30/abstr.html