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Solving linear and nonlinear fractional differential equations using spline functions. (English) Zbl 1235.65015
Summary: Suitable spline functions of polynomial form are derived and used to solve linear and nonlinear fractional differential equations. The proposed method is applicable for $$0 < \alpha \leq 1$$ and $$\alpha \geq 1$$, where $$\alpha$$ denotes the order of the fractional derivative in the Caputo sense. The results obtained are in good agreement with the exact analytical solutions and the numerical results presented elsewhere. Results also show that the technique introduced here is robust and easy to apply.

##### MSC:
 65D07 Numerical computation using splines 65L99 Numerical methods for ordinary differential equations 34A08 Fractional ordinary differential equations and fractional differential inclusions
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##### References:
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