Stepanov type µ-pseudo almost automorphic mild solutions of semilinear fractional integrodifferential equations

Abstract

In this paper, using necessary and sufficient conditions, the new concept of Stepanov µ-pseudo almost automorphic functions and ergodicity results, we investigate the existence of mild bounded solutions for a class of fractional integro-differential equations in the sense of the Weyl fractional derivative in a Banach space.

Keywords

• stepanov type µ-pseudo almost automorphic functions
• fractional integro-differential equations
• bounded solutions
• fixed point theorems
• 35r11
• 34k14
• 35b15
• 45n05
• 58d25