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

By N. Valliammal, Chokkalingam Ravichandran, Zakia Hammouch, Haci Mehmet Baskonus. International journal of nonlinear sciences and numerical simulation, 2019

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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.

Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/9c8221525a27aab7c6c919d74a48faad422f46dc

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In Applied Mathematics

In Control and Systems Engineering

In Modeling and Simulation

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Mathematical model for spreading of COVID‐19 virus with the Mittag–Leffler kernel (2020, background): “For more references to the AB -derivative, the reader can refer References [16–26].”