Numerical calculation of the left and right fractional derivatives

作者：Machado J Tenreiro^*

来源：Journal of Computational Physics, 2015, 293: 96-103.

DOI：10.1016/j.jcp.2014.05.029

• Fractional calculus
• Left and right side derivatives
• Numerical calculation

The calculation of fractional derivatives is an important topic in scientific research. While formal definitions are clear from the mathematical point of view, they pose limitations in applied sciences that have not been yet tackled. This paper addresses the problem of obtaining left and right side derivatives when adopting numerical approximations. The results reveal the relationship between the resulting distinct values for different fractional orders and types of signals.

• 出版日期2015-7-15