Abstract
Recently, operational matrices were adapted for solving several kinds of fractional differ- ential equations (FDEs). The use of numerical tech- niques in conjunction with operational matrices of someorthogonalpolynomials,forthesolutionofFDEs on finite and infinite intervals, produced highly accu- rate solutions for such equations. This article discusses spectral techniques based on operational matrices of fractional derivatives and integrals for solving several kinds of linear and nonlinear FDEs. More precisely, wepresenttheoperationalmatricesoffractionalderiva- tivesandintegrals,forseveralpolynomialsonbounded domains, such as the Legendre, Chebyshev, Jacobi and Bernstein polynomials, and we use them with differ- ent spectral techniques for solving the aforementioned equations on bounded domains. The operational matri- ces of fractional derivatives and integrals are also pre- sented for orthogonal Laguerre and modified general-
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