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Fractional Newton mechanics with conformable fractional derivativeopen access
- Authors
- Chung, Won Sang
- Issue Date
- 15-Dec-2015
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Conformable fractional derivative; Conformable fractional integral; Fractional dynamics
- Citation
- JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.290, pp 150 - 158
- Pages
- 9
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
- Volume
- 290
- Start Page
- 150
- End Page
- 158
- ISSN
- 0377-0427
1879-1778
- Abstract
- 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. (C) 2015 Published by Elsevier B.V.
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