6533b830fe1ef96bd1297c2b

RESEARCH PRODUCT

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

Mario Di PaolaSalvatore Butera

subject

Numerical AnalysisMellin transformLaplace transformApplied MathematicsMathematical analysisMulti degree of freedom systemsRamanujan's master theoremIntegral equationFractional differential equationWiener–Hopf methodsymbols.namesakeModeling and SimulationLaplace transform applied to differential equationsComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONsymbolsMellin inversion theoremTwo-sided Laplace transformMellin transformMathematics

description

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.

yearjournalcountryeditionlanguage
2015-01-01Communications in Nonlinear Science and Numerical Simulation
https://doi.org/10.1016/j.cnsns.2014.04.024