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An algorithm for the numerical solution of differential equationsof fractional order
Zaid M. Odibat,Shaher Momani 한국전산응용수학회 2008 Journal of applied mathematics & informatics Vol.26 No.1
We present and discuss an algorithm for the numerical solution of initial value problems of the form D y(t) = f(t, y(t)), y(0) = y0, where D y is the derivative of y of order in the sense of Caputo and 0 < 1. The algorithm is based on the fractional Euler’s method which can be seen as a generalization of the classical Euler’s method. Numerical examples are given and the results show that the present algorithm is very effective and convenient. We present and discuss an algorithm for the numerical solution of initial value problems of the form D y(t) = f(t, y(t)), y(0) = y0, where D y is the derivative of y of order in the sense of Caputo and 0 < 1. The algorithm is based on the fractional Euler’s method which can be seen as a generalization of the classical Euler’s method. Numerical examples are given and the results show that the present algorithm is very effective and convenient.
AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
Odibat, Zaid M.,Momani, Shaher Korean Society of Computational and Applied Mathem 2008 Journal of applied mathematics & informatics Vol.26 No.1
We present and discuss an algorithm for the numerical solution of initial value problems of the form $D_*^\alpha$y(t) = f(t, y(t)), y(0) = y0, where $D_*^\alpha$y is the derivative of y of order $\alpha$ in the sense of Caputo and 0<${\alpha}{\leq}1$. The algorithm is based on the fractional Euler's method which can be seen as a generalization of the classical Euler's method. Numerical examples are given and the results show that the present algorithm is very effective and convenient.