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Novel Fractional Models Compatible with Real World Problems
- Source :
- Fractal and Fractional, Vol 3, Iss 2, p 15 (2019)
- Publication Year :
- 2019
- Publisher :
- MDPI AG, 2019.
-
Abstract
- In this paper, some real world modeling problems: vertical motion of a falling body problem in a resistant medium, and the Malthusian growth equation, are considered by the newly defined Liouville–Caputo fractional conformable derivative and the modified form of this new definition. We utilize the σ auxiliary parameter for preserving the dimension of physical quantities for newly defined fractional conformable vertical motion of a falling body problem in a resistant medium. The analytical solutions are obtained by iterating this new fractional integral and results are illustrated under different orders by comparison with the Liouville–Caputo fractional operator.
Details
- Language :
- English
- ISSN :
- 25043110
- Volume :
- 3
- Issue :
- 2
- Database :
- Directory of Open Access Journals
- Journal :
- Fractal and Fractional
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.05097691575e459e8905ca5124f0d82c
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/fractalfract3020015