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Some families of ordinary and partial fractional differintegral equations
Authors:
Shih-Tong Tu a;
Ding-Kuo Chyan b;
H. M. Srivastava c
| Affiliations: | a Department of Mathematics, Chung Yuan Christian University, Taiwan, Chung-Li, Republic of China |
| b Department of Mathematics, Hwa-Hsia College of Technology and Commerce, chung-Ho, Taipei, Taiwan, Republic of China | |
| c Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada |
DOI:
10.1080/10652460108819319
Publication Frequency:
12 issues per year
Published in:
Integral Transforms and Special Functions,
Volume
11,
Issue
3
June
2001
, pages 291
- 302
Integral Transforms and Special Functions,
Volume
11,
Issue
3
June
2001
, pages 291
- 302
Subjects:
Analysis - Mathematics;
Differential Equations;
Integral Transforms & Equations;
Mathematical Analysis;
Special Functions;
Formats available:
PDF
(English)
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Abstract
Making use of the theory of fractional calculus (that is, derivatives and integrals of any real or complex order), the authors derive particular solutions of certain families of ordinary and partial fractional differintegral equations. Relevant connections of the results presented here with those obtained in several earlier works are also mentioned.
|
| Keywords: Fractional calculus; differintegral equations; special functions; hypergeomet-ric functions; Gamma functions; generalized Leibniz rule |
| MSC(2000): 26A33; 33B15; 34A05; 35C05; 33C20; 34A25 |
| view references (13) |
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