Analysis of Riccati Differential Equations within a New Fractional Derivative without Singular Kernel

作者：Jafari Hossein^*; Lia Atena; Tejadodi Haleh; Baleanu Dumitru

来源：Fundamenta Informaticae, 2017, 151(1-4): 161-171.

DOI：10.3233/FI-2017-1485

• Caputo-Fabrizio derivative
• Riccati differential equations
• Fractional derivative

Recently Caputo and Fabrizio suggested new definition of fractional derivative that the new kernel has no singularity. In this paper, an analytical method for solving Riccati differential equation with a new fractional derivative is reported. We present numerical results of solving the fractional Riccati differential equations by using the variational iteration method and its modification. The obtained results of two methods demonstrate the efficiency and simplicity of the MVIM that gives good approximations for a larger interval.

• 出版日期2017