scholarly journals Differentiability of solutions with respect to parameters in a class of neutral differential equations with state-dependent delays

2021 ◽  
pp. 1-41
Author(s):  
Ferenc Hartung
Keyword(s):  
Differential Equations ◽  
Neutral Differential Equations ◽  
State Dependent ◽  
Differentiability Of Solutions

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.

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