Fractional Newton mechanics with conformable fractional derivative

In this paper we use the conformable fractional derivative and integral to discuss the fractional Newtonian mechanics. The fractional version of the calculus of variations is introduced and the fractional Euler–Lagrange equation is constructed. Some mechanical problems such as fractional harmonic os...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Journal of computational and applied mathematics Ročník 290; s. 150 - 158
Hlavný autor: Chung, Won Sang
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier B.V 15.12.2015
Predmet:
Calculus of variations
Conformable fractional derivative
Conformable fractional integral
Construction
Derivatives
Dynamics
Fractional dynamics
Integrals
Mathematical analysis
Mathematical models
Oscillators
Conformable fractional derivative
Conformable fractional integral
Fractional dynamics
ISSN:0377-0427, 1879-1778
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
Shrnutí:In this paper we use the conformable fractional derivative and integral to discuss the fractional Newtonian mechanics. The fractional version of the calculus of variations is introduced and the fractional Euler–Lagrange equation is constructed. Some mechanical problems such as fractional harmonic oscillator problem, the fractional damped oscillator problem and the forced oscillator problem are discussed in the one-dimensional fractional dynamics.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2015.04.049