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A fractional spline collocation method for the fractional-order logistic equation

Springer Proceedings in Mathematics and Statistics, ISSN: 2194-1017, Vol: 201, Page: 307-318
2017
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Conference Paper Description

We construct a collocation method based on the fractional B-splines to solve a nonlinear differential problem that involves fractional derivatives, i.e., the fractional-order logistic equation. The use of the fractional B-splines allows us to express the fractional derivatives of the approximating function in an analytical form. Thus, the fractional collocation method is easy to implement, accurate, and efficient. Several numerical tests illustrate the efficiency of the proposed collocation method.

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