On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series-Reference-Cited by-同舟云学术

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

Published:2020-05-15 Issue:1 Volume:2020 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Zafar Rashida,Rehman Mujeeb ur,Shams Moniba^ORCID

Abstract

AbstractIn 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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-020-02658-1.pdf

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