Some families of ordinary and partial fractional differintegral equations

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 ob...

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Published inIntegral transforms and special functions Vol. 11; no. 3; pp. 291 - 302
Main Authors Tu, Shih-Tong, Chyan, Ding-Kuo, Srivastava, H.M.
Format Journal Article
LanguageEnglish
Published Gordon and Breach Science Publishers 01.06.2001
Subjects
differintegral equations
Fractional calculus
Gamma functions
generalized Leibniz rule
hypergeomet-ric functions
special functions
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Summary: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.
ISSN:1065-2469
1476-8291
DOI:10.1080/10652460108819319