Publications

Publications

Peer-reviewed work, in reverse chronological order. Full list available on Google Scholar.

21 papers 186 citations h-index 8
0 results ·

2026

2026
Construction and Analytical Properties of the Edelstein Hidden Variable Fractal Interpolation Function
Aiswarya and SA Prasad · Communications in Nonlinear Science and Numerical Simulation, 158, Article ID: 109790.

2024

2024
Sequential Labyrinth Fractal.
H Gopalakrishnan, and SA Prasad · Siberian electronic mathematical reports, 21(2), 882-896.
2024
Box dimension of harmonic functions on higher dimensional Sierpinski gasket and Sierpinski gasket with bilateral energy.
H Gopalakrishnan, SA Prasad · Journal of Mathematical Analysis and Applications 540 (1), Article ID: 128590.
2024
Spectrum of self-affine measures on the planar Sierpinski family.
M Megala, SA Prasad · Monatshefte für Mathematik 204 (1), 157-169.
2024
A Study on Harmonic Function on Vicsek Fractal
H Gopalakrishnan, SA Prasad · Chaos, Solitons & Fractals 181, 114607.
2024
Labyrinth Fractal on a Convex Quadrilateral
H Gopalakrishnan, SA Prasad · International Journal of Mathematical and Computational Sciences, 18(7): 74-83.

2023

2023
Fractal Interpolation Function On Products of the Sierpi´nski Gaskets.
SA Prasad, S Verma · Chaos, Solitons and Fractals, 166, Article Id: 112988.
2023
Node Insertion in Coalescence Hidden-Variable Fractal Interpolation Surface.
SA Prasad · nternational Journal of Mathematical and Computational Sciences, 17(1): 11-16.

2022

2022
Spectrum of a self-affine measure with four-element digit set.
M Megala, SA Prasad · Fractals: Complex Geometry, Patterns, and Scaling in Nature and Society, 30(4), Article ID 2250087.

2021

2021
Super Coalescence Hidden-variable Fractal Interpolation Functions.
SA Prasad · Fractals: Complex Geometry, Patterns, and Scaling in Nature and Society, 29(3), Article ID 2150051.

2020

2020
Riemann-Liouville Fractional Calculus of Blancmange Curve and Cantor Functions.
SA Prasad · Journal of Applied Mathematics and Computation, 4(4): 123-129.

2019

2019
Reproducing Kernel Hilbert Space and Coalescence Hidden-variable Fractal Interpolation Functions.
SA Prasad · Demonstratio Mathematica, 52: 467-474.

2017

2017
Fractional Calculus of Coalescence Hidden-variable Fractal Interpolation Functions.
SA Prasad · Fractals: Complex Geometry, Patterns, and Scaling in Nature and Society, 25(2), Article ID 1750019.

2015

2015
Super Fractal Interpolation Functions.
GP Kapoor, SA Prasad · International Journal of Nonlinear Science, 19(1): 20-29.

2014

2014
Multiresolution Analysis Based on Coalescence Hidden-variable Fractal Interpolation Functions.
GP Kapoor, SA Prasad · International Journal of Computational Mathematics 2014 (1), 531562.
2014
Convergence of Cubic Spline Super Fractal Interpolation Functions.
GP Kapoor, SA Prasad · Fractals: Complex Geometry, Patterns, and Scaling in Nature and Society, 22(1):1-7.

2013

2013
Regularity of Fractal Interpolation Function via Wavelet Transform.
SA Prasad · Advances in Pure and Applied Mathematics, 4(2): 189-202.
2013
Node Insertion in Coalescence Fractal Interpolation Function.
SA Prasad · Chaos, Solitons and Fractals, 49 : 16-20.

2011

2011
Fractal Dimension of Coalescence Hidden-variable Fractal Interpolation Surfaces.
SA Prasad, GP Kapoor · Fractals: Complex Geometry, Patterns, and Scaling in Nature and Society, 19(2):195-201.

2010

2010
Stability of Coalescence Hidden-variable Fractal Interpolation Surfaces.
GP Kapoor, SA Prasad · International Journal of Nonlinear Science, 9(3):265-275.

2009

2009
Smoothness of Coalescence Hidden-variable Fractal Interpolation Surfaces.
GP Kapoor, SA Prasad · International Journal of Bifurcation and Chaos, 19(7): 2321-2333.