On finite part integrals and Hadamard-type fractional derivatives

[+] Author and Article Information
Li Ma

School of Mathematics, Hefei University of Technology, Hefei 230009, China

Changpin Li

Department of Mathematics, Shanghai University, Shanghai 200444, China

1Corresponding author.

ASME doi:10.1115/1.4037930 History: Received July 18, 2017; Revised August 29, 2017


This paper is devoted to investigating the relation between Hadamard-type fractional derivatives and finite part integrals in Hadamard sense, that is to say, the Hadamard-type fractional derivative of a given function can be expressed by the finite part integral of a strongly singular integral which does not exist. Besides, our results also cover that some fundamental properties on absolutely continuous functions, and the logarithmic series expansion formulas at the right end point of interval for functions in certain absolutely continuous spaces.

Copyright (c) 2017 by ASME
Topics: Space
Your Session has timed out. Please sign back in to continue.






Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In