Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system
- 1 September 2017
- journal article
- Published by Elsevier BV in Chaos, Solitons, and Fractals
- Vol. 102, 396-406
- https://doi.org/10.1016/j.chaos.2017.04.027
Abstract
No abstract availableThis publication has 12 references indexed in Scilit:
- Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional orderChaos, Solitons, and Fractals, 2016
- New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer modelThermal Science, 2016
- A causal and fractional all-frequency wave equation for lossy mediaThe Journal of the Acoustical Society of America, 2011
- Anomalous diffusion modeling by fractal and fractional derivativesComputers & Mathematics with Applications, 2010
- Anomalous diffusion as modeled by a nonstationary extension of Brownian motionPhysical Review E, 2009
- Time–space fabric underlying anomalous diffusionChaos, Solitons, and Fractals, 2006
- Composite model with fractional flow dimensions for well test analysis in fractured rocksJournal of Hydrology, 2000
- Representation of random walk in fractal space-timePhysica A: Statistical Mechanics and its Applications, 1998
- Linear Models of Dissipation whose Q is almost Frequency Independent--IIGeophysical Journal International, 1967
- ON FRACTIONAL INTEGRALS AND DERIVATIVESThe Quarterly Journal of Mathematics, 1940