The short memory principle for solving Abel differential equation of fractional order

Authors:
Yufeng Xu;Zhimin He
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 6
Cited 0

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Abstract

In this paper, the short memory principle (SMP) is applied for solving the Abel differential equation with fractional order. We evaluate the approximate solution at the end of required interval, and construct a suitable iteration scheme employing this end point as initial value. Numerical experiments show that our iteration method is simple and efficient, and that a proper length of memory could maintain the validity of the short memory principle.