The short memory principle for solving Abel differential equation of fractional order |
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Authors: | Yufeng XuZhimin He |
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Affiliation: | Department of Applied Mathematics, Central South University, Changsha 410083, Hunan, People’s Republic of China |
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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. |
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Keywords: | Short memory principle Abel differential equation with fractional order Grü nwald-Letnikov derivative Riemann-Liouville derivative |
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