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...

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Vydáno v:Journal of computational and applied mathematics Ročník 290; s. 150 - 158
Hlavní autor: Chung, Won Sang
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 15.12.2015
Témata:
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
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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.
Bibliografie:ObjectType-Article-1
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content type line 23
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2015.04.049