一类包含Caputo-Hadamard分数阶导数的初值问题:极值解与镇定

J. Adv. Eng. Comput. Pub Date : 2020-06-30 DOI:10.25073/jaec.202042.283

D. O’Regan, N. Hoa

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引用次数: 5

摘要

本文利用上下解的方法，建立了阶为α∈(1,2)的caputo - hadamard型分数阶微分方程(CHFDEs)极值解的存在性。并给出了保证一类CHFDE稳定性的充分条件。给出了一些例子来说明我们的主要结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An Initial Value Problem Involving Caputo-Hadamard Fractional Derivative: The Extremal Solutions and Stabilization

In this paper, the existence of extremal solutions of Caputo-Hadamard-type fractional di erential equations (CHFDEs) with order α ∈ (1, 2) is established by employing the method of lower and upper solutions. Moreover, su cient condition that ensure the stability of a class of CHFDE is also provided. Some examples are given to illustrate our main results.

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J. Adv. Eng. Comput.

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