A NUMERICAL APPROACH FOR FRACTIONAL ORDER RICCATI DIFFERENTIAL EQUATION USING B-SPLINE OPERATIONAL MATRIX

作者：Jafari Hossein^*; Tajadodi Haleh; Baleanu Dumitru

来源：Fractional Calculus and Applied Analysis, 2015, 18(2): 387-399.

DOI：10.1515/fca-2015-0025

• fractional order Riccati equations
• linear B-spline function
• operational matrix

In this article, we develop an effective numerical method to achieve the numerical solutions of nonlinear fractional Riccati differential equations. We found the operational matrix within the linear B-spline functions. By this technique, the given problem converts to a system of algebraic equations. This technique is used to solve fractional Riccati differential equation. The obtained results are illustrated both applicability and validity of the suggested approach.

• 出版日期2015-4