Search results for "Multi degree of freedom systems"

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

2015

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.

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 transformMathematicsCommunications in Nonlinear Science and Numerical Simulation
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