Pseudo almost automorphic solutions of fractional order neutral differential equation

2010 ◽  
Vol 81 (3) ◽  
pp. 393-404 ◽  
Author(s):  
Syed Abbas
Keyword(s):  
Differential Equation ◽  
Fractional Order ◽  
Neutral Differential Equation ◽  
Almost Automorphic ◽  
Pseudo Almost Automorphic

scholarly journals Existence of μ-pseudo almost automorphic solutions to a neutral differential equation by interpolation theory

Filomat ◽  
2014 ◽  
Vol 28 (3) ◽  
pp. 603-614 ◽  
Author(s):  
Yong-Kui Chang ◽  
Xiao-Xia Luo
Keyword(s):  
Differential Equation ◽  
Existence Results ◽  
Neutral Differential Equation ◽  
Interpolation Theory ◽  
Almost Automorphic ◽  
Almost Automorphic Functions ◽  
Pseudo Almost Automorphic ◽  
Fixed Point Methods ◽  
Automorphic Functions ◽  
Composition Theorem

In this paper, we shall deal with ?-pseudo almost automorphic solutions to a neutral differential equation. To achieve this goal, we first prove a composition theorem for ?-pseudo almost automorphic functions under suitable conditions, and then apply it to investigate some existence results by the interpolation theory and fixed point methods.

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