Alireza Khalili Golmankhaneh, Dumitru Baleanu
Published 2015-12-11Version 1
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.
On polynomial configurations in fractal sets
Decoupling for fractal subsets of the parabola
$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve
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