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Publication
a-fractal function with variable parameters: an explicit representation
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Advisor(s)
Abstract(s)
In this paper, new results on the alpha-fractal function with variable parameters are presented. The Weyl-Marchaud variable order fractional derivative of an alpha-fractal function with variable parameters is examined by imposing certain conditions on the scaling factors. Following the investigation of fractional derivative, the definite integral of the alpha-fractal function with variable parameters is evaluated for various intervals in the prescribed domain. Finally, an explicit structure for the alpha-fractal function is provided using the base q representation of numbers.
Description
Keywords
Alpha-fractal function Variable parameters Fractional derivative Definite integral Base representation UIDB/04561/2020
Pedagogical Context
Citation
Priyanka, T. M. C., Serpa, C., & Gowrisankar, A. (2024). a-fractal function with variable parameters: an explicit representation. Fractals – Complex Geometry Patterns and Scaling in Nature and Society, 32(02), 1-12. https://doi.org/10.1142/S0218348X24400085
Publisher
World Scientific Connect