Weyl-Marchaud fractional derivative of a vector valued fractal interpolation function with function contractivity factors
From MaRDI portal
Publication:2692669
DOI10.1007/S41478-022-00474-2OpenAlexW4288702834MaRDI QIDQ2692669
T. M. C. Priyanka, A. Gowrisankar, A. Agathiyan
Publication date: 22 March 2023
Published in: The Journal of Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41478-022-00474-2
iterated function systemhidden variable fractal interpolation functionWeyl-Marchaud fractional derivativefunction contractivity factors
Fractional derivatives and integrals (26A33) Interpolation in approximation theory (41A05) Fractals (28A80)
Related Items (4)
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
Cites Work
- Fractional calculus on fractal interpolation for a sequence of data with countable iterated function system
- The Weyl-Marchaud fractional derivative of a type of self-affine functions
- Fractal interpolation functions with variable parameters and their analytical properties
- Box dimension and fractional integral of linear fractal interpolation functions
- Fractal functions and interpolation
- Weyl and Marchaud derivatives: a forgotten history
- On the connection between the order of fractional calculus and the dimensions of a fractal function
- Box-counting dimension and analytic properties of hidden variable fractal interpolation functions with function contractivity factors
- Riemann Liouville fractional integral of hidden variable fractal interpolation function
- A new method on box dimension of Weyl-Marchaud fractional derivative of Weierstrass function
- Riemann-Liouville calculus on quadratic fractal interpolation function with variable scaling factors
- Spline coalescence hidden variable fractal interpolation functions
- Fractal Polynomials and Maps in Approximation of Continuous Functions
- A TYPE OF FRACTAL INTERPOLATION FUNCTIONS AND THEIR FRACTIONAL CALCULUS
- ANALYSIS ON FRACTALS IN FUZZY METRIC SPACES
- Hidden Variable Fractal Interpolation Functions
- SENSITIVITY ANALYSIS FOR HIDDEN VARIABLE FRACTAL INTERPOLATION FUNCTIONS AND THEIR MOMENTS
- THE RELATIONSHIP BETWEEN FRACTIONAL CALCULUS AND FRACTALS
- BOX DIMENSION OF WEYL–MARCHAUD FRACTIONAL DERIVATIVE OF LINEAR FRACTAL INTERPOLATION FUNCTIONS
- Cyclic Meir-Keeler Contraction and Its Fractals
- ANALYSIS ON WEYL–MARCHAUD FRACTIONAL DERIVATIVE FOR TYPES OF FRACTAL INTERPOLATION FUNCTION WITH FRACTAL DIMENSION
- CONSTRUCTION OF NONLINEAR HIDDEN VARIABLE FRACTAL INTERPOLATION FUNCTIONS AND THEIR STABILITY
- HIDDEN VARIABLE RECURRENT FRACTAL INTERPOLATION FUNCTIONS WITH FUNCTION CONTRACTIVITY FACTORS
- Parameter Identification for a Class of Bivariate Fractal Interpolation Functions and Constrained Approximation
- Fractal Functions, Dimensions and Signal Analysis
- Fractal Patterns in Nonlinear Dynamics and Applications
- HIDDEN VARIABLE VECTOR VALUED FRACTAL INTERPOLATION FUNCTIONS
This page was built for publication: Weyl-Marchaud fractional derivative of a vector valued fractal interpolation function with function contractivity factors
