scholarly journals Existence results for non-instantaneous impulsive fractional functional differential equation with infinite delay

2021 ◽  
pp. 35-53
Author(s):  
Jayanta Borah ◽  
Swaroop Nandan Bora
Keyword(s):  
Differential Equation ◽  
Functional Differential Equation ◽  
Infinite Delay ◽  
Existence Results ◽  
Functional Differential ◽  
Fractional Functional

Existence results for some impulsive partial functional fractional differential equations

2019 ◽  
Vol 13 (04) ◽  
pp. 2050074 ◽  
Author(s):  
Hadda Hammouche ◽  
Mouna Lemkeddem ◽  
Kaddour Guerbati ◽  
Khalil Ezzinbi
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fractional Differential Equations ◽  
Mild Solutions ◽  
Existence Results ◽  
Completely Continuous ◽  
Fractional Differential ◽  
Functional Differential ◽  
Fractional Functional

In this paper, we study the existence of mild solutions of impulsive evolution fractional functional differential equation of order [Formula: see text] involving a Lipschitz condition on term [Formula: see text]. We shall rely on a fixed point theorem for the sum of completely continuous and contraction operators due to Burton and Kirk.

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