A novel shifted Jacobi operational matrix method for solving linear multi-term fractional variable-order di erential equations

This paper presents the generalized multi-term fractional variable-order dif- ferential equations. In this artticle, a novel shifted Jacobi operational matrix techniqueis introdused for solving a class of these equations via reducing the main problem to an algebric system of equations that can be solved numerically. The suggested techniqueis successfully developed for the aforementioned problem. Comprehensive numerical ex- priments are presented to demonstrate the e ciency, generality, accuracy of proposed scheme and the exibility of this method. Comparing the results of the current method (NSJOM) with the exact solution, indicating the e ciency and validity of this method. Note that the procedure is easy to implement and this technique will be considered as a generalization of many numerical schemes.

کلیدواژه ها:

Shifted Jacobi Operational Matrix technique ، Multi-term variable-order FDE.