A New Investigation on Fractional-Ordered Neutral Differential Systems with State-Dependent Delay-Reference-Cited by-同舟云学术

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

Published:2019-07-31 Issue:7-8 Volume:20 Page:803-809
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Valliammal N.¹,Ravichandran C.²,Hammouch Zakia³,Mehmet Baskonus Haci⁴

Affiliation:

1. Department of Mathematics , Sri Eshwar College of Engineering(Autonomous) , Coimbatore 641202, Tamil Nadu , India

2. Post Graduate and Research Department of Mathematics , Kongunadu Arts and Science College(Autonomous) , Coimbatore 641029, Tamil Nadu , India

3. Faculty of Sciences and Techniques , Moulay Ismail University of Meknes , Errachidia 52000 , Morocco

4. Harran University, Faculty of Education , Sanliurfa , Turkey

Abstract

Abstract Fractional 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2018-0362/pdf

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