On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series

Advances in Difference Equations

Mujeeb ur Rehman¹  Moniba Shams¹  Rashida Zafar¹ 

[1] Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology;

关键词: Fractional order calculus;    Fractional operators;    Caputo modification;    Hadamard-type;    Fractional Taylor formula;   

DOI  :  10.1186/s13662-020-02658-1

来源: DOAJ

【 摘 要 】

Abstract 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.

【 授权许可】

Unknown