| Issue |
MATEC Web Conf.
Volume 139, 2017
2017 3rd International Conference on Mechanical, Electronic and Information Technology Engineering (ICMITE 2017)
|
|
|---|---|---|
| Article Number | 00098 | |
| Number of page(s) | 5 | |
| DOI | https://doi.org/10.1051/matecconf/201713900098 | |
| Published online | 05 December 2017 | |
Partial, Composite Fractional Operators, and Their Properties and Applications
1 College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730124, China
2 Key Lab of Streaming Data Computing Technologies and Applications, Lanzhou 730030, China
* Corresponding author: dengky0420@163.com
The paper discusses the properties of the partial fractional integrals, the partial fractional derivatives, and the composite fractional integrals and derivatives. Some basic formulas are derived; and the relations between the Riemann-Liouville and Caputo ones are also presented. Finally, as the specific application, a two dimensional Abel integral equation is solved.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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