Peer-Reviewed Article June 30, 2013
CUBIC SPLINE SOLUTION OF FRACTIONAL BAGLEY-TORVIK EQUATION Vol. 1(2) July 2013, No. 10, pp. 230-241 W. K. ZAHRA AND S. M. ELKHOLY
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Publisher: Alexandria University, Faculty of Science • Egypt • 3009-6731 • 2090-729X
Abstract
Fractional calculus is a natural extension of the integer order calculus and recently, a large number of applied problems have been formulated on fractional di¤erential equations.Analytical solution of many applications, where the fractional di¤erential equations appear, cannot be established.Therefore, cubic polynomial spline function is considered to …nd approximate solution for fractional boundary value problems (FBPs).Convergence analysis of the method is considered.Some illustrative examples are presented and the obtained results reveal that the proposed technique is very e¤ective, convenient and quite accurate to such considered problems.