A new exploration on existence of Sobolev‐type Hilfer fractional neutral integro‐differential equations with infinite delay

2020 ◽  
Vol 37 (1) ◽  
pp. 750-766 ◽  
Author(s):  
V. Vijayakumar ◽  
R. Udhayakumar
Keyword(s):  
Differential Equations ◽  
Infinite Delay ◽  
Sobolev Type

Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay

2014 ◽  
Vol 17 (4) ◽  
Author(s):  
Shengli Xie
Keyword(s):  
Differential Equations ◽  
Differential Evolution ◽  
Existence Theorem ◽  
Banach Spaces ◽  
Existence And Uniqueness ◽  
Evolution Equations ◽  
Infinite Delay ◽  
Mild Solutions ◽  
Existence Results ◽  
Order Case

AbstractIn this paper we prove the existence and uniqueness of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay in Banach spaces. We generalize the existence theorem for integer order differential equations to the fractional order case. The results obtained here improve and generalize many known results.

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