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|Title:||Fractional euler-lagrange equation of caldirola-kanai oscillator|
Asad, J. H.
|Publisher:||Editura Academiei Romane/Publishing House of the Romanian Academy|
|Abstract:||A study of the fractional Lagrangian of the so-called Caldirola-Kanai oscillator is presented. The fractional Euler-Lagrangian equations of the system have been obtained, and the obtained Euler-Lagrangian equations have been studied numerically. The numerical study is based on the so-called Grünwald-Letnikov approach, which is power series expansion of the generating function (backward and forward difference) and it can be easy derived from the Grünwald-Letnikov definition of the fractional derivative. This approach is based on the fact, that Riemman-Liouville fractional derivative is equivalent to the Grünwald-Letnikov derivative for a wide class of the functions.|
|Appears in Collections:||Applied science faculty|
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|17- Fractional Euler Lagrange eqs of Caldirola Kanai- Journal copy.pdf||236.83 kB||Adobe PDF|
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