Solutions of a certain class of fractional differintegral equations |
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Institution: | Department of Mathematics, Chung Yuan Christian University Chung-Li 32023, Taiwan, R.O.C.;Department of Mathematics and Statistics, University of Victoria Victoria, British Columbia V8W 3P4, Canada |
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Abstract: | Recently, several authors demonstrated the usefulness of fractional calculus in obtaining particular solutions of a number of such familiar second-order differential equations as those associated with Gauss, Legendre, Jacobi, Chebyshev, Coulomb, Whittaker, Euler, Hermite, and Weber equations. The main 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 appealing to a general theorem on particular solutions of a certain class of fractional differintegral equations. |
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