4.6 Article

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

Journal

FRACTIONAL CALCULUS AND APPLIED ANALYSIS
Volume 18, Issue 2, Pages 387-399

Publisher

WALTER DE GRUYTER GMBH
DOI: 10.1515/fca-2015-0025

Keywords

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

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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.

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