Solutions of a certain class of fractional differintegral equations

Recently, several authors demonstrated the usefulness of fractional calculu s in obtaining particular solutions of a number of such familiar second-ord er differential equations as those associated with Gauss, Legendre, Jacobi, Chebyshev, Coulomb, Whittaker, Euler, Hermite, and Weber equations. The ma in object of this paper is to show how some of the latest contributions on the subject by Tu et al. [1], involving the associated Legendre, Euler, and Hermite equations, can be presented in a unified manner by suitably appeal ing to a general theorem on particular solutions of a certain class of frac tional differintegral equations. (C) 2000 Elsevier Science Ltd. All rights reserved.