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α -FRACTAL FUNCTION WITH VARIABLE PARAMETERS: AN EXPLICIT REPRESENTATION
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DOI：10.1142/S0218348X24400085.png)
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Abstract
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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.
Keywords:
alpha-Fractal Function
Variable Parameters
Fractional Derivative
Definite Integral
Base Representation
Journal
F
IF:
2.9
Papers:
2.8K
Citations:
5.6K
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