In this article, we have applied Jacobi polynomial to solve Riccati differential equation of fractional order. To do so, we have presented a general formula for the Jacobi operational matrix of fractional integral operator. Using the Tau method, the solution of this problem reduces to the solution of a system of algebraic equations. The numerical results for the examples presented in this paper demonstrate the efficiency of the present method.
Neamaty, A.; Agheli, B.; and Darzi, R.
The shifted Jacobi polynomial integral operational matrix for solving Riccati differential equation of fractional order,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 10,
2, Article 16.
Available at: https://digitalcommons.pvamu.edu/aam/vol10/iss2/16