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New Derivatives on Fractal Subset of Real-line | | Alireza Khalili Golmankhaneh
; Dumitru Baleanu
; | | Date: |
11 Dec 2015 | | 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. | | Source: | arXiv, 1601.6121 | | Services: | Forum | Review | PDF | Favorites | |
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