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
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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