Fractional Euler-Lagrange equations : numerical solutions and applications of reflection operator

• Autorzy: Błaszczyk T. , Ciesielski M.
• Języki publikacji: EN

Abstrakty

EN

In this work numerical solutions of fractional Euler-Lagrange equations describing free motion are considered. This type of equations contains a composition of left and right fractional derivatives. A reflection operator is applied to obtain relations between the Euler-Lagrange equations. In addition we verify the dependence between the respective numerical schemes using the same operator. In the final part of paper the examples of the numerical solutions are shown.

Słowa kluczowe

EN

Euler-Lagrange equations; numerical solutions

PL

równania Eulera-Lagrange'a; obliczenia numeryczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 2
• Strony: 17--24
• Opis fizyczny: Bibliogra. 14 poz., rys.

Twórcy

autor

Błaszczyk T.

autor

Ciesielski M.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

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