Fractional derivative generalization of Noether’s theorem

• Autorzy: Maryam Khorshidi , Mehdi Nadjafikhah , Hossein Jafari
• Języki publikacji: EN

Abstrakty

EN

The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered. Then we prove a Noetherlike theorem for fractional Lagrangian densities with the Riemann-Liouville fractional derivative and few examples are presented as an application of the theory.

Słowa kluczowe

EN

Fractional derivatives; Symmetry; Fractional variational calculus; Fractional Euler–Lagrange equations; Conservation laws; Noether’s theorem

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2015-05-25

zaakceptowano

2015-08-08

online

2015-12-23

Twórcy

autor

Maryam Khorshidi

• Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

autor

Mehdi Nadjafikhah

• Department of Pure Mathematics,School of Mathematics, Iran University of Science
  and Technology, Narmak, Tehran, 1684613114, Iran

autor

Hossein Jafari

• Department of Mathematical Sciences, University of South Africa, PO Box 392, UNISA 0003, South Africa and
  Department of Mathematics,University of Mazandaran, Babolsar, Iran

Bibliografia

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Identyfikatory

DOI

10.1515/math-2015-0086