fractional integral

  • wikipedia fractional calculus
  • S. G. Samko, A. A. Kilbas, O. I. Marichev, Fractional integrals and derivatives, Gordon and Breach, 1993, transl. from Russian original Nauka i Tehnika, Minsk 1987.
  • A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional differential equations, Elsevier, Amsterdam, 2006
  • Fractional calculus at
  • G. H. Hardy, doi
  • Thomas Osler, Leibniz rule for fractional derivatives generalized and an application to infinite series, SIAM J. Appl. Math., 18 (1970), pp. 658-674 pdf; Leibniz rule, the chain rule and Taylor’s theorem for fractional derivatives, PhD thesis, Courant Institute 1970, 87 pp. pdf
  • Fractional integration by parts and hypergeometric integrals, Section 2.9 in G. E. Andrews, R. Askey?, R. Roy, Special functions, Enc. of Math. and its Appl. 1999.

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