Existence of Solutions for Fractional Partial Neutral Stochastic Functional Integro-Differential Inclusions with State-Dependent Delay and Analytic Resolvent Operators

2015 ◽  
Vol 43 (4) ◽  
pp. 687-704 ◽  
Author(s):  
Toufik Guendouzi ◽  
Lamia Bousmaha
Keyword(s):  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Resolvent Operators ◽  
State Dependent ◽  
State Dependent Delay ◽  
Analytic Resolvent ◽  
Stochastic Functional

scholarly journals GLOBAL EXISTENCE RESULTS FOR FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH STATE-DEPENDENT DELAY

2014 ◽  
Vol 19 (4) ◽  
pp. 524-536 ◽  
Author(s):  
Mouffak Benchohra ◽  
Johnny Henderson ◽  
Imene Medjadj
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Global Existence ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Existence Results ◽  
State Dependent ◽  
State Dependent Delay ◽  
Functional Differential ◽  
Functional Differential Inclusions

Our aim in this work is to study the existence of solutions of a functional differential inclusion with state-dependent delay. We use the Bohnenblust–Karlin fixed point theorem for the existence of solutions.

scholarly journals Existence of Mild Solutions for Impulsive Fractional Stochastic Differential Inclusions with State-Dependent Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Toufik Guendouzi ◽  
Ouahiba Benzatout
Keyword(s):  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Mild Solutions ◽  
Sufficient Conditions ◽  
Multivalued Maps ◽  
State Dependent ◽  
Nonlinear Alternative ◽  
Stochastic Differential Inclusions ◽  
State Dependent Delay

We study the existence of mild solutions for a class of impulsive fractional stochastic differential inclusions with state-dependent delay. Sufficient conditions for the existence of solutions are derived by using the nonlinear alternative of Leray-Schauder type for multivalued maps due to O’Regan. An example is given to illustrate the theory.

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