Butera, S. and Di Paola, M. (2015) Mellin transform approach for the solution of coupled systems of fractional differential equations. Communications in Nonlinear Science and Numerical Simulation, 20(1), pp. 32-38. (doi: 10.1016/j.cnsns.2014.04.024)
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Abstract
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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Butera, Dr Salvatore |
| Authors: | Butera, S., and Di Paola, M. |
| College/School: | College of Science and Engineering > School of Physics and Astronomy |
| Journal Name: | Communications in Nonlinear Science and Numerical Simulation |
| Publisher: | Elsevier |
| ISSN: | 1007-5704 |
| ISSN (Online): | 1878-7274 |
| Published Online: | 10 May 2014 |
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