Operational shifted hybrid Gegenbauer functions method d for solving multi-term time fractional differential equations

Abstract

In this paper, we propose an efficient operational formulation of spectral tau method d for solving multi-term time fractional differential equations with initial-b boundary conditions. The shifted hybrid Gegenbauer functions (SHGFs) operational matrices of Riemann-Liouville fractional integral and Caputo fractional derivatives are presented. By using these operational matrices, the shifted hybrid Gegenbauer functions tau method for both temp oral and spatial discretization are presented, which allow us to introduce an efficient spectral method for solving such problems. Finally, numerical results show good deal with the theoretical analysis.