A TYPE OF FRACTAL INTERPOLATION FUNCTIONS AND THEIR FRACTIONAL CALCULUS

DOI10.1142/S0218348X16500262zbMath1351.28016MaRDI QIDQ2830998

Qi Zhang, Yong Shun Liang

Publication date: 1 November 2016

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

Chebyshev polynomialsapproximationmodulus of continuityfractal interpolation functionRiemann-Liouville fractional calculus

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (22)

Bases consisting of self-referential functions in Banach spaces ⋮ FRACTAL DIMENSION OF RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL OF CERTAIN UNBOUNDED VARIATIONAL CONTINUOUS FUNCTION ⋮ DEFINITION AND CLASSIFICATION OF ONE-DIMENSIONAL CONTINUOUS FUNCTIONS WITH UNBOUNDED VARIATION ⋮ On the variable order fractional calculus of fractal interpolation functions ⋮ Riemann-Liouville calculus on quadratic fractal interpolation function with variable scaling factors ⋮ Riemann-Liouville fractional derivatives of hidden variable recurrent fractal interpolation functions with function scaling factors and box dimension ⋮ ANALYTICAL APPROXIMATE SOLUTIONS OF (N + 1)-DIMENSIONAL FRACTAL HARRY DYM EQUATIONS ⋮ CONSTRUCTION OF NEW AFFINE AND NON-AFFINE FRACTAL INTERPOLATION FUNCTIONS THROUGH THE WEYL–MARCHAUD DERIVATIVE ⋮ Fractional operator associated with the fractal integral of A-fractal function ⋮ FRACTAL DIMENSION OF CERTAIN CONTINUOUS FUNCTIONS OF UNBOUNDED VARIATION ⋮ BOX DIMENSION OF HADAMARD FRACTIONAL INTEGRAL OF CONTINUOUS FUNCTIONS OF BOUNDED AND UNBOUNDED VARIATION ⋮ Weyl-Marchaud fractional derivative of a vector valued fractal interpolation function with function contractivity factors ⋮ THE HADAMARD FRACTIONAL CALCULUS OF A FRACTAL FUNCTION ⋮ FRACTAL DIMENSION OF A SPECIAL CONTINUOUS FUNCTION ⋮ AUTOCOVARIANCE AND INCREMENTS OF DEVIATION OF FRACTAL INTERPOLATION FUNCTIONS FOR RANDOM DATASETS ⋮ BOX DIMENSION OF WEYL–MARCHAUD FRACTIONAL DERIVATIVE OF LINEAR FRACTAL INTERPOLATION FUNCTIONS ⋮ STATISTICAL PROPERTIES OF LINEAR FRACTAL INTERPOLATION FUNCTIONS FOR RANDOM DATA SETS ⋮ Bernstein fractal approximation and fractal full Müntz theorems ⋮ Fractional calculus for multivariate vector-valued function and fractal function ⋮ FRACTAL DIMENSIONS OF KATUGAMPOLA FRACTIONAL INTEGRAL OF CONTINUOUS FUNCTIONS SATISFYING HÖLDER CONDITION ⋮ TOPOLOGICAL PRESSURE OF POINCARÉ RECURRENCE SET ⋮ ANALYSIS ON WEYL–MARCHAUD FRACTIONAL DERIVATIVE FOR TYPES OF FRACTAL INTERPOLATION FUNCTION WITH FRACTAL DIMENSION

Cites Work

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• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• CONSTRUCTION OF FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS
• FRACTAL INTERPOLATION FUNCTIONS ON POST CRITICALLY FINITE SELF-SIMILAR SETS
• Construction of Orthogonal Wavelets Using Fractal Interpolation Functions
• INTEGRATION AND FOURIER TRANSFORM OF FRACTAL INTERPOLATION FUNCTIONS
• Study of generation of rock fracture surfaces by using fractal interpolation.

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