Frechet空间中的Caputo-Fabrizio分数阶微分方程

Q4 Mathematics

Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics Pub Date : 2021-01-20 DOI:10.31926/but.mif.2020.13.62.2.1

S. Abbas, M. Benchohra, Hafsa Gorine

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引用次数: 1

摘要

研究了一类泛函Caputo-Fabrizio分数阶微分方程解的存在唯一性。将经典Darbo不动点定理推广到Frechet空间，并结合非紧性测度的概念，给出了一些应用。最后一节用一些示例说明了我们的结果。

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Caputo-Fabrizio fractional differential equations in Frechet spaces

This paper deals with some existence and uniqueness of solutions for a class of functional Caputo-Fabrizio fractional differential equations. Some applications are made of a generalization of the classical Darbo fixed point theorem for Frechet spaces associate with the concept of measure of noncompactness. The last section illustrates our results with some examples.

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来源期刊

Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics Mathematics-Mathematics (all)

CiteScore

0.30

自引率

0.00%

发文量