A Numerical Method to Solve Higher-Order Fractional Differential Equations

作者：Almeida Ricardo^*; Bastos Nuno R O

来源：Mediterranean Journal of Mathematics, 2016, 13(3): 1339-1352.

DOI：10.1007/s00009-015-0550-2

• Fractional calculus
• fractional differential equations
• approximation formulas
• numerical methods

In this paper, we present a new numerical method to solve fractional differential equations. Given a fractional derivative of arbitrary real order, we present an approximation formula for the fractional operator that involves integer-order derivatives only. With this, we can rewrite FDEs in terms of a classical one and then apply any known technique. With some examples, we show the accuracy of the method.

• 出版日期2016-6