Explicit analytical solutions of incommensurate fractional differential equation systems

作者:

Highlights:

• Explicit solutions are found analytically for systems of fractional differential equations.

• Two independent fractional orders of differentiation are involved.

• The solutions are expressed in terms of new bivariate Mittag-Leffler functions.

摘要

•Explicit solutions are found analytically for systems of fractional differential equations.•Two independent fractional orders of differentiation are involved.•The solutions are expressed in terms of new bivariate Mittag-Leffler functions.

论文关键词:Caputo fractional derivative,Fractional differential equation systems,Bivariate Mittag-Leffler functions,Incommensurate system

论文评审过程:Received 19 April 2020, Revised 27 July 2020, Accepted 2 August 2020, Available online 26 August 2020, Version of Record 26 August 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125590