Fractional calculus of fractal interpolation function on \([0,b]\) (\(b>0\))

DOI10.1155/2014/640628zbMath1468.41004OpenAlexW1525335556WikidataQ59040280 ScholiaQ59040280MaRDI QIDQ1724638

XueZai Pan

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/640628

Mathematics Subject Classification ID

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

Related Items (8)

Riemann Liouville fractional integral of hidden variable fractal interpolation function ⋮ DEFINITE INTEGRAL OF α-FRACTAL FUNCTIONS ⋮ UNIFORM CONTINUITY OF FRACTIONAL ORDER INTEGRAL OF FRACTAL INTERPOLATION FUNCTION ⋮ Construction of cubic spline hidden variable recurrent fractal interpolation function and its fractional calculus ⋮ On the variable order fractional calculus of fractal interpolation functions ⋮ On dimension of fractal functions on product of the Sierpiński gaskets and associated measures ⋮ FRACTIONAL CALCULUS OF COALESCENCE HIDDEN-VARIABLE FRACTAL INTERPOLATION FUNCTIONS ⋮ SMOOTHNESS AND FRACTIONAL INTEGRAL OF HIDDEN VARIABLE RECURRENT FRACTAL INTERPOLATION FUNCTION WITH FUNCTION VERTICAL SCALING FACTORS

Cites Work

• Fractal surfaces
• Variation and Minkowski dimension of fractal interpolation surface
• Fractal functions and interpolation
• Fractional Brownian Motions, Fractional Noises and Applications
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