Riemann-Liouville calculus on quadratic fractal interpolation function with variable scaling factors

DOI10.1007/s41478-018-0133-2zbMath1423.28021OpenAlexW2891363296MaRDI QIDQ2419077

M. Guru Prem Prasad, A. Gowrisankar

Publication date: 29 May 2019

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-018-0133-2

zbMATH Keywords

fractal dimensionRiemann-Liouville fractional integralRiemann-Liouville fractional derivativefractal interpolation functionvariable scaling factors

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Interpolation in approximation theory (41A05) Fractals (28A80)

Related Items (14)

Fractal convolution on the rectangle ⋮ A REVIEW OF FRACTAL FUNCTIONS AND APPLICATIONS ⋮ Construction of new fractal interpolation functions through integration method ⋮ On the variable order fractional calculus of fractal interpolation functions ⋮ Riemann-Liouville fractional derivatives of hidden variable recurrent fractal interpolation functions with function scaling factors and box dimension ⋮ CONSTRUCTION OF NEW AFFINE AND NON-AFFINE FRACTAL INTERPOLATION FUNCTIONS THROUGH THE WEYL–MARCHAUD DERIVATIVE ⋮ ON THE CLASSICAL INTEGRAL OF FRACTAL FUNCTIONS ⋮ Fractional operator associated with the fractal integral of A-fractal function ⋮ Variable order fractional calculus on \(\alpha\)-fractal functions ⋮ Positivity preserving rational quartic spline zipper fractal interpolation functions ⋮ Weyl-Marchaud fractional derivative of a vector valued fractal interpolation function with function contractivity factors ⋮ Fractional calculus for multivariate vector-valued function and fractal function ⋮ THE CALCULUS OF BIVARIATE FRACTAL INTERPOLATION SURFACES ⋮ ANALYSIS ON WEYL–MARCHAUD FRACTIONAL DERIVATIVE FOR TYPES OF FRACTAL INTERPOLATION FUNCTION WITH FRACTAL DIMENSION

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