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

Mario Di Paola, Salvatore Butera

Risultato della ricerca: Article

15 Citazioni (Scopus)

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.
Lingua originaleEnglish
Numero di pagine7
RivistaCOMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION
Volume20
Stato di pubblicazionePublished - 2015

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

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