Mellin transform approach for the solution of coupled systems of fractional differential equations

作者：Butera Salvatore^*; Di Paola Mario

来源：Communications in Nonlinear Science & Numerical Simulation, 2015, 20(1): 32-38.

DOI：10.1016/j.cnsns.2014.04.024

• Fractional differential equations
• Mellin transform
• Multi degree of freedom systems

In this paper, the solution of a multi-order, multi-degree-of-freedom fractional differential equation is addressed by using the Mellin integral transform. By taking advantage of a technique that relates the transformed function, in points of the complex plane differing in the value of their real part, the solution is found in the Mellin domain by solving a linear set of algebraic equations. The approximate solution of the differential (or integral) equation is restored, in the time domain, by using the inverse Mellin transform in its discretized form.

• 出版日期2015-1