A New Operational Matrix of Fractional Integration for Shifted Jacobi Polynomials

作者：Bhrawy A H^*; Tharwat M M; Alghamdi M A

来源：Bulletin of the Malaysian Mathematical Sciences Society, 2014, 37(4): 983-995.

• Operational matrix
• shifted Jacobi polynomials
• Tau method
• multi-term FDEs
• Riemann-Liouville derivative

A new shifted Jacobi operational matrix (SJOM) of fractional integration of any order is introduced and applied together with spectral tau method for solving linear fractional differential equations (FDEs). The fractional integration is described in the Riemann-Liouville sense. The numerical approach is based on the shifted Jacobi tau method. The main characteristic behind the approach using this technique is that only a limited number of shifted Jacobi polynomials is needed to obtain a satisfactory result. Illustrative examples reveal that the present method is very effective and convenient for linear muti-term FDEs.

• 出版日期2014