scholarly journals Existence, Regularity, and Compactness Properties in the α-Norm for Some Partial Functional Integrodifferential Equations with Finite Delay

2020 ◽  
Author(s):  
Boubacar Diao ◽  
Khalil Ezzinbi ◽  
Mamadou Sy
Keyword(s):  
Integrodifferential Equations ◽  
Finite Delay

scholarly journals Existence results for Hadamard and Riemann-Liouville functional fractional neutral integrodifferential equations with finite delay

Filomat ◽  
2018 ◽  
Vol 32 (13) ◽  
pp. 4611-4618
Author(s):  
Mohamed Abbas
Keyword(s):  
Existence And Uniqueness ◽  
Existence Results ◽  
Integrodifferential Equations ◽  
Contraction Principle ◽  
Uniqueness Of Solutions ◽  
Finite Delay ◽  
Uniqueness Of The Solution

By using Leray-Schauder?s alternative, we study the existence and uniqueness of solutions for some Hadamard and Riemann-Liouville fractional neutral functional integrodifferential equations with finite delay, whereas the uniqueness of the solution is established by Banach?s contraction principle. An illustrative example is also included.

Global attracting sets of neutral stochastic functional integro-differential equations driven by a fractional Brownian motion

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
A. Bakka ◽  
S. Hajji ◽  
D. Kiouach
Keyword(s):  
Hilbert Space ◽  
Fixed Point ◽  
Brownian Motion ◽  
Differential Equations ◽  
Fractional Brownian Motion ◽  
Sufficient Conditions ◽  
Integrodifferential Equations ◽  
Hurst Parameter ◽  
Fixed Point Principle ◽  
Stochastic Functional

Abstract By means of the Banach fixed point principle, we establish some sufficient conditions ensuring the existence of the global attracting sets of neutral stochastic functional integrodifferential equations with finite delay driven by a fractional Brownian motion (fBm) with Hurst parameter H ∈ ( 1 2 , 1 ) {H\in(\frac{1}{2},1)} in a Hilbert space.

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