Some Notes of the Fractional Integral and Derivatives and Its Applications
In this paper, the definitions of the fractional derivative and integrals are given by the neutrix limit. Not only is it consistent with the classical results but also the representations of the fractional derivative and integrals are obtained for x−a−k, x−a−klnpx−a, x−a−kfx, and x−a−klnpx−afx, wher...
Saved in:
Main Authors: | Fen Qin, Fuyi Xu, Huizeng Qin |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2022-01-01
|
Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2022/8343530 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions
by: Abdon Atangana, et al.
Published: (2013-01-01) -
Oscillation of a Class of Fractional Differential Equations with Damping Term
by: Huizeng Qin, et al.
Published: (2013-01-01) -
Some New Transformation Properties of the Nielsen Generalized Polylogarithm
by: Nina Shang, et al.
Published: (2014-01-01) -
Note on Some Nonlinear Integral Inequalities and Applications to Differential Equations
by: Khaled Boukerrioua
Published: (2011-01-01) -
Refinements of some fractional integral inequalities involving extended convex functions and fractional Caputo derivatives
by: Muhammad Imran, et al.
Published: (2025-02-01)