Affine recurrent fractal interpolation functions

Balasubramani, N.; Gowrisankar, A.

doi:10.1140/epjs/s11734-021-00306-7

Cited by 5 publications

(2 citation statements)

References 33 publications

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“…Based on a Hutchinson theorem, Barnsley [1] provides a method for constructing fractal-interpolation function (FIF) using iterated function system theory (IFs). For more information, read [2][3][4][5][6][7]. The fractal-interpolation function becomes a powerful tool in applied science and engineering for modeling irregular phenomena in the last 30 years.…”

Section: Introductionmentioning

confidence: 99%

On the Variable Order Fractional Calculus Characterization for the Hidden Variable Fractal Interpolation Function

Raja

Gowrisankar

2022

Fractal Fract

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In this study, the variable order fractional calculus of the hidden variable fractal interpolation function is explored. It extends the constant order fractional calculus to the case of variable order. The Riemann–Liouville and the Weyl–Marchaud variable order fractional calculus are investigated for hidden variable fractal interpolation function. Moreover, the conditions for the variable fractional order μ on a specified range are also derived. It is observed that, under certain conditions, the Riemann–Liouville and the Weyl–Marchaud variable order fractional calculus of the hidden variable fractal interpolation function are again the hidden variable fractal interpolation functions interpolating the new data set.

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Section: Introductionmentioning

confidence: 99%

On the Variable Order Fractional Calculus Characterization for the Hidden Variable Fractal Interpolation Function

Raja

Gowrisankar

2022

Fractal Fract

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“…A recurrent iterated function system is used to construct an affine recurrent FIF. Further, its convergence analysis and shape-preserving properties are studied in detail [ 18 ].…”

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confidence: 99%