含Hilfer分数阶导数的蛛网经济模型的稳定性
Stability of Cobweb economic model involving Hilfer fractional derivative
摘要：
本文讨论了当需求函数和供给函数中存在Hilfer分数阶导数时蛛网模型的解。讨论了Hilfer导数化约为Caputo和Riemann-Liouville导数的特殊情况。随后，蛛网模型的解决方案与Riemann-Liouville导数的推导。两个数值例子解释精心制作的理论是审议与插图和比较。根据图示的结论进行了详细概述。这些插图突出了Hilfer分数阶导数优于其他两个分数阶导数的优点。
英文摘要：
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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