Existence results for a class of impulsive neutral fractional stochastic integro-differential systems with state dependent delay

2019 ◽  
Vol 37 (5) ◽  
pp. 865-892 ◽  
Author(s):  
Renu Chaudhary ◽  
Dwijendra N. Pandey
Keyword(s):  
Existence Results ◽  
Differential Systems ◽  
State Dependent ◽  
State Dependent Delay

A New Investigation on Fractional-Ordered Neutral Differential Systems with State-Dependent Delay

2019 ◽  
Vol 20 (7-8) ◽  
pp. 803-809 ◽  
Author(s):  
N. Valliammal ◽  
C. Ravichandran ◽  
Zakia Hammouch ◽  
Haci Mehmet Baskonus
Keyword(s):  
Differential Equations ◽  
Mild Solutions ◽  
Existence Results ◽  
Differential Systems ◽  
Neutral Differential Equations ◽  
State Dependent ◽  
State Dependent Delay ◽  
Fractional Differential ◽  
Noncompact Measure ◽  
Equations With Delay

AbstractFractional differential equations with delay behaviors occur in fields like physical and biological ones with state-dependent delay or nonconstant delay and has drawn the attention of researchers. The main goal of the present work is to study the existence of mild solutions of neutral differential system along state-dependent delay in Banach space. By employing the fractional theory, noncompact measure and Mönch’s theorem, we investigate the existence results for neutral differential equations of fractional order with state-dependent delay. An illustration of derived results is offered.

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 Results for a Fractional Equation with State-Dependent Delay

2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
José Paulo Carvalho dos Santos ◽  
Claudio Cuevas ◽  
Bruno de Andrade
Keyword(s):  
Existence Results ◽  
State Dependent ◽  
State Dependent Delay ◽  
Fractional Equation

scholarly journals About the Existence Results of Fractional Neutral Integrodifferential Inclusions with State-Dependent Delay in Fréchet Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Selvaraj Suganya ◽  
Dumitru Baleanu ◽  
Siva Selvarasu ◽  
Mani Mallika Arjunan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Semigroup Theory ◽  
Existence Results ◽  
Fréchet Spaces ◽  
State Dependent ◽  
Nonlinear Alternative ◽  
State Dependent Delay ◽  
Multivalued Contractions

A recent nonlinear alternative for multivalued contractions in Fréchet spaces thanks to Frigon fixed point theorem consolidated with semigroup theory is utilized to examine the existence results for fractional neutral integrodifferential inclusions (FNIDI) with state-dependent delay (SDD). An example is described to represent the hypothesis.

On Fractional Neutral Integro-differential Systems with State-dependent Delay in Banach Spaces

2017 ◽  
Vol 151 (1-4) ◽  
pp. 109-133
Author(s):  
S. Kailasavalli ◽  
S. Suganya ◽  
M. Mallika Arjunan
Keyword(s):  
Banach Spaces ◽  
Differential Systems ◽  
State Dependent ◽  
State Dependent Delay
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