Solutions of a certain class of fractional differintegral equations

Applied Mathematics Letters

Volumn 14, Issue 2, 2001, Pages 223-229

  Tu, Shih Tong ^a   Lin, Shy Der ^a   Huang, Yu Tan ^a   Srivastava, H M ^b  

^a CHUNG YUAN CHRISTIAN UNIVERSITY   (Taiwan)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Associated Legendre equations; Differintegral equations; Euler equations; Fractional calculus; Generalized Leibniz rule; Hermite equations

Indexed keywords

EID: 0000796387     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(00)00140-3     Document Type: Article

References (9)

1. S.-T. Tu, S.-D. Lin and Y.-T. Huang, A solution of generalized special differential equations by means of fractional calculus, J. Fract. Calc. 16, 111-122, (1999).
2. I. Podlubny, Fractional Differential Equations, Mathematics in Science and Engineering series, Volume 198, Academic Press, New York, (1999).
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4. K. Nishimoto, Fractional Calculus, Volumes I-IV, Descartes Press, Koriyama, (1984); Volume II, (1987); Volume III, (1989); Volume IV, (1991).
5. K. Nishimoto, Fractional Calculus, Volumes I-IV, Descartes Press, Koriyama, (1984); Volume II, (1987); Volume III, (1989); Volume IV, (1991).
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7. K. Nishimoto, An Essence of Nishimoto's Fractional Calculus (Calculus of the 21st Century): Integrations and Differentiations of Arbitrary Order, Descartes Press, Koriyama, (1991).
8. H.M. Srivastava, S. Owa and K. Nishimoto, Some fractional differintegral equations, J. Math. Anal. Appl. 106, 360-366, (1985).
9. S.-T. Tu, D.-K. Chyan and H.M. Srivastava, Some families of ordinary and partial fractional differintegral equations, Integral Transform. Spec. Funct. 9, (2000).