具有混合条件的分数阶混合微分方程的非紧性测度

Differential Equations & Applications Pub Date : 1900-01-01 DOI:10.7153/dea-2022-14-09

C. Derbazi, Hadda Hammouche, Abdelkrim Salim, M. Benchohra

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引用次数: 11

摘要

．讨论了2阶Caputo分数阶导数< ζ (cid:2) 3的混合分数阶微分方程解的存在性。本文在推广Darbo不动点定理的基础上，结合Banach代数中非紧性测度的相关方法，给出了我们的论点。为了证明这一论点，提供了一个例证。

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Measure of noncompactness and fractional hybrid differential equations with hybrid conditions

. This paper deals with the existence of solutions for hybrid fractional differential equa- tions involving Caputo fractional derivative of order 2 < ζ (cid:2) 3. We base our arguments on a generalization of Darbo’s ﬁ xed point theorem combined with the approaches related with mea- sures of noncompactness in Banach algebras. To demonstrate the argument, an illustration is provided.

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Differential Equations & Applications

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