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A Numerical Solution of a System of Linear Fractional orders Integro-Differential Equations of Volterra Types by Classic Spline Functions | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 19, Issue 3, 2008, Pages 100-113 | ||
| Author | ||
| Omar M. Al-Faour | ||
| Abstract | ||
| Our main concern in this paper is to give a numerical technique to solve a system of linear fractional integro-differential equations of Volterra types of order α (LFIDEV's) by using different orders of classic spline functions (linear, quadratic and cubic). Generalized formula for computing the fractional derivatives of the classic spline functions are derived which are very useful in simplifying the computation in the solution of this kind of problems. Some examples are given to show the efficiency and simplicity of the method for special case of α equal to 0.5. | ||
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