THE CALCULUS OF BIVARIATE FRACTAL INTERPOLATION SURFACES

Subhash Chandra () and Syed Abbas
Additional contact information
Subhash Chandra: School of Basic Sciences, Indian Institute of Technology Mandi, Kamand (H.P.) 175005, India
Syed Abbas: School of Basic Sciences, Indian Institute of Technology Mandi, Kamand (H.P.) 175005, India

FRACTALS (fractals), 2021, vol. 29, issue 03, 1-13

Abstract: In this paper, we investigate partial integrals and partial derivatives of bivariate fractal interpolation functions (FIFs). We also prove that the mixed Riemann–Liouville fractional integral and derivative of order γ = (p,q); p > 0,q > 0, of bivariate FIFs are again bivariate interpolation functions corresponding to some iterated function system (IFS). Furthermore, we discuss the integral transforms and fractional order integral transforms of the bivariate FIFs.

Keywords: Fractal Interpolation Surfaces; Partial Derivative; Fractional Integral (Derivative); Integral Transform (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations: View citations in EconPapers (7)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X21500663
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:03:n:s0218348x21500663

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X21500663

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().