ANALYSIS ON WEYL–MARCHAUD FRACTIONAL DERIVATIVE FOR TYPES OF FRACTAL INTERPOLATION FUNCTION WITH FRACTAL DIMENSION

DOI10.1142/S0218348X21502157OpenAlexW3183883038MaRDI QIDQ5025352

T. M. C. Priyanka, A. Gowrisankar

Publication date: 1 February 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21502157

zbMATH Keywords

iterated function systemfractal dimensionfractal interpolation functionWeyl-Marchaud fractional derivative

Mathematics Subject Classification ID

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

Related Items (9)

Construction of new fractal interpolation functions through integration method ⋮ On the variable order fractional calculus of fractal interpolation functions ⋮ 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 ⋮ Event-triggered impulsive controller design for synchronization of delayed chaotic neural networks and its fractal reconstruction: an application to image encryption ⋮ 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

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