Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 290, Issue -, Pages 150-158Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2015.04.049
Keywords
Conformable fractional derivative; Conformable fractional integral; Fractional dynamics
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Funding
- Academy-oriented Research Funds of Development Fund Foundation, Gyeongsang National University [GNUDFF- 2014-25]
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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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