Stability Analysis of Fractional Differential System with Constant Delay

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Authors

  • Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore 641 046 ,IN

Keywords:

Stability Analysis, Fractional Order Dynamic Systems, Delay Systems.

Abstract

In this work, we analyze the stability of nonlinear fractional order delay differential equations of the form CD1/2x(t) = ax(t) + bx(t-1)x(t)+f(t, x(t)), where CD1/2 is a Caputo fractional derivative of order 1/2. Some numerical illustrations are provided to explain the proposed theory, by giving conditions on the non-linear term f(t, x(t)).

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Published

2016-12-01

How to Cite

Priyadharsini, S. (2016). Stability Analysis of Fractional Differential System with Constant Delay. The Journal of the Indian Mathematical Society, 83(3-4), 337–350. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/6614

 

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