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A New Investigation on Fractional-Ordered Neutral Differential Systems with State-Dependent Delay by N. Valliammal; C. Ravichandran; Zakia Hammouch; Haci Mehmet Baskonus is a Mathematics article available to read on EtoBox.

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## 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.

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Author

N. Valliammal; C. Ravichandran; Zakia Hammouch; Haci Mehmet Baskonus

Publisher

Walter de Gruyter GmbH

Published

2019

Language

EN

Field

Mathematics (Physical Sciences)