变系数erdsamlyi - kober导数的分数阶微分方程

IF 2.5 2区数学 Q1 MATHEMATICS

Fractional Calculus and Applied Analysis Pub Date : 2025-04-16 DOI:10.1007/s13540-025-00402-8

Fatma Al-Musalhi, Arran Fernandez

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引用次数: 0

摘要

考虑具有连续变系数的多项分数阶微分方程和erd - lyi - kober型微分算子和多个独立分数阶微分方程。我们在一般框架下求解这类方程，得到一致收敛级数形式的显式解。通过考虑几个特定的案例，我们验证了我们的结果与其他先前在文献中获得的结果的一致性。

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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Fractional differential equations involving Erdélyi–Kober derivatives with variable coefficients

We consider multi-term fractional differential equations with continuous variable coefficients and differential operators of Erdélyi–Kober type and multiple independent fractional orders. We solve such equations in a general framework, obtaining explicit solutions in the form of uniformly convergent series. By considering several particular cases, we verify the consistency of our results with others previously obtained in the literature.

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来源期刊

Fractional Calculus and Applied Analysis MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

4.70

自引率

16.70%

发文量

101

期刊介绍： Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order. The high standards of its contents are guaranteed by the prominent members of Editorial Board and the expertise of invited external reviewers, and proven by the recently achieved high values of impact factor (JIF) and impact rang (SJR), launching the journal to top places of the ranking lists of Thomson Reuters and Scopus.