论文标题

蜘蛛网经济模型的稳定性涉及Hilfer分数衍生物

Stability of Cobweb economic model involving Hilfer fractional derivative

论文作者

Raghavan, Divya, Sukavanam, N

论文摘要

本文在需求和供应函数中有Hilfer分数导数时评估蜘蛛网模型的解决方案。讨论了将Hilfer衍生物减少到Caputo和Riemann-Liouville衍生物时的特定情况。随后,立即得出了使用Riemann-Liouville衍生物的蜘蛛网模型的解。用插图和比较审议了两个解释制作理论的数值示例。详细概述了基于图形插图的结论。这些插图突出了Hilfer分数衍生物比其他两个分数衍生物的优势。

This paper evaluates the solution of cobweb models when there is a Hilfer fractional derivative in the demand and supply function. Particular cases when Hilfer derivative reducing to Caputo and Riemann-Liouville derivative are discussed. Subsequently, the solution of the cobweb model with Riemann-Liouville derivative is derived instantly. Two numerical examples interpreting the crafted theory is deliberated with illustrations and comparisons. Conclusions based on the graphical illustrations is outlined in detail. These illustrations highlight the advantage of the Hilfer fractional derivative over the other two fractional derivatives.

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