Luchko, Yu F.Srivastava, H.M.2010-05-182010-05-1819942010-05-18http://hdl.handle.net/1828/2777In the present paper the authors develop operational calculi for some particular cases of the hyper-Bessel differential operator. One of these operational calculi is used here to solve a Cauchy boundary-value problem for a certain linear equation involving the Riemann-Liouville fractional derivatives. Relevant connections are also indicated with the special cases of the equation, which were solved earlier by using other methods.enExact solution of certain differential equations of fractional order by using operational calculusTechnical Report