文章基本信息

标题：On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series
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作者：Rashida Zafar ; Mujeeb ur Rehman ; Moniba Shams 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-13
DOI：10.1186/s13662-020-02658-1
出版社：Hindawi Publishing Corporation
摘要：In this paper a general framework is presented on some operational properties of Caputo modification of Hadamard-type fractional differential operator along with a new algorithm proposed for approximation of Hadamard-type fractional integral using Haar wavelet method. Moreover, a generalized Taylor expansion based on Caputo–Hadamard-type fractional differential operator is also established, and an example is presented for illustration.
关键词：Fractional order calculus;Fractional operators;Caputo modification;Hadamard-type;Fractional Taylor formula;