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THE CALCULUS OF BIVARIATE FRACTAL INTERPOLATION SURFACES

SUBHASH CHANDRA

School of Basic Sciences, Indian Institute of Technology Mandi, Kamand (H.P.) 175005, India

E-mail Address: schandra.iitd15@gmail.com

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and

SYED ABBAS

https://orcid.org/0000-0001-5694-2011

School of Basic Sciences, Indian Institute of Technology Mandi, Kamand (H.P.) 175005, India

E-mail Address: abbas@iitmandi.ac.in

Corresponding author.

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https://doi.org/10.1142/S0218348X21500663Cited by:34 (Source: Crossref)

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 $γ = (p, q); p > 0, q > 0$ $γ = (p, q); p > 0, q > 0$ , 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:

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