A NEW FRACTIONAL MODEL OF SINGLE DEGREE OF FREEDOM SYSTEM, BY USING GENERALIZED DIFFERENTIAL TRANSFORM METHOD

A NEW FRACTIONAL MODEL OF SINGLE DEGREE OF FREEDOM SYSTEM, BY USING GENERALIZED DIFFERENTIAL TRANSFORM METHOD

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Generalized differential transform method (GDTM) is a powerful method to solve the fractional differential equations.In this paper, a new fractional model for systems with single degree spidertattooz.com of freedom (SDOF) is presented, by using the GDTM.The advantage of this method compared with some other numerical methods has been shown.

The analysis of new approximations, damping and acceleration of systems are also described.Finally, by reducing damping and analysis of the errors, in one of the fractional cases, we have shown that in addition to having a suitable solution for the here displacement close to the exact one, the system enjoys acceleration once crossing the equilibrium point.