Caputo-Hadamard分数阶微分方程解的存在性和Ulam稳定性

General Letters in Mathematics Pub Date : 2022-06-01 DOI:10.31559/glm2022.12.2.5

Abduljawad K. Anwar, S. Murad

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引用次数: 0

摘要

本文研究了一类分数阶微分方程的Caputo-Hadamard阶导数(α∈(1,2))解的存在性。利用Banach的收缩映射原理证明了其唯一性结果，利用Schauder不动点定理建立了其存在性结果。进一步，采用了该方程的Ulam-Hyers和Ulam-Hyers- rassias稳定性。给出了一些例子来说明结果

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Existence and Ulam stability of solutions for Caputo-Hadamard fractional differential equations

In this paper, we study the existence of solutions for fractional differential equations with the Caputo-Hadamard fractional derivative of order α ∈ ( 1,2 ] . The uniqueness result is proved via Banach’s contraction mapping principle and the existence results are established by using the Schauder’s ﬁxed point theorem. Furthermore, the Ulam-Hyers and Ulam-Hyers-Rassias stability of the proposed equation is employed. Some examples are given to illustrate the results

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General Letters in Mathematics

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审稿时长

6 weeks