Fractal Calculus of Functions on Cantor Tartan Spaces
Alireza Khalili Golmankhaneh, Arran Fernandez
Fractal and Fractional · 2018
doi:10.3390/fractalfract2040030 (opens in a new tab)
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Abstract
In this manuscript, integrals and derivatives of functions on Cantor tartan spaces are defined. The generalisation of standard calculus, which is called <inline-formula> <math display="inline"> <semantics> <msup> <mi>F</mi> <mi>η</mi> </msup> </semantics> </math> </inline-formula>-calculus, is utilised to obtain definitions of the integral and derivative of functions on Cantor tartan spaces of different dimensions. Differential equations involving the new derivatives are solved. Illustrative examples are presented to check the details.
Abstract licence: CC BY
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