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arXiv · 1601.06121

New Derivatives on Fractal Subset of Real-line

Alireza Khalili Golmankhaneh·Dumitru Baleanu
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Abstract

In this manuscript we introduced the generalized fractional Riemann-Liouville and Caputo like derivative for functions defined on fractal sets. The Gamma, Mittag-Leffler and Beta functions were defined on the fractal sets. The non-local Laplace transformation is given and applied for solving linear and non-linear fractal equations. The advantage of using these new nonlocal derivatives on fractals subset of real-line lies in the fact that they are used for better modelling of processes with memory effect.

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BibTeXRIS

Alireza Khalili Golmankhaneh, Dumitru Baleanu. 2015-12-11. New Derivatives on Fractal Subset of Real-line. https://doi.org/10.3390/e18020001

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