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

International Journal of Nonlinear Sciences and Numerical Simulation - Tập 20 Số 7-8 - Trang 803-809 - 2019
N. Valliammal1, C. Ravichandran2, Zakia Hammouch3, Hacı Mehmet Başkonuş4
1Department of Mathematics , Sri Eshwar College of Engineering(Autonomous) , Coimbatore 641202, Tamil Nadu , India
2Post Graduate and Research Department of Mathematics , Kongunadu Arts and Science College(Autonomous) , Coimbatore 641029, Tamil Nadu , India
3Faculty of Sciences and Techniques , Moulay Ismail University of Meknes , Errachidia 52000 , Morocco
4Harran University, Faculty of Education, Sanliurfa, Turkey

Tóm tắt

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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International Journal of Nonlinear Sciences and Numerical Simulation

Tập 20 Số 7-8

803-809

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