Abstract
In the present paper, the linear B-spline scaling functions operational matrix of fractional-order integration is derived and is used to solve the fractional differential equations, including the linear and nonlinear Ricatti and composite fractional oscillation equations. The mentioned matrix is utilized to reduce the initial equations into a system of algebraic equations. Also, an error bound when using the linear B-spline scaling functions approximation is derived. Some examples are presented to demonstrate the validity and the applicability of the method. Moreover, compared with the known techniques, it is shown that the method is much more efficient and accurate.
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