On non-autonomous abstract nonlinear fractional differential equations

Abstract

In this paper, we study the existence of solutions for a class of abstract fractional non-autonomous differential equations with applications to nonlinear partial differential equations with fractional temporal derivatives. Some examples are presented.

Keywords:

• fractional differential equation
• abstract Cauchy problem
• resolvent operator

AMS Subject Classifications:

• 34A08
• 34K30
• 45N05

Additional information

Funding

The work of this author was supported by Fapesp [grant number 2012/ 21813-7].