Department of Mathematics

Indian Institute Of Technology Madras , Chennai
Prof. Chand A.K.B.
NAC 650
DESIGNATION

Professor

CURRENT RESEARCH INTEREST

Fractal Interpolation, Shape Preserving Interpolation, Geometric Modelling, Fractal Approximation, Wavelets

CONTACT

044 - 2257 4629

chand

RESEARCH GROUPS
PERSONAL HOME PAGE   https://math.iitm.ac.in/profile/chand

Recent Publications :

Convexity-Preserving Rational Cubic Zipper Fractal Interpolation Curves and Surfaces

Authors : Vijay, A. K. B. Chand

Journal : Mathematical and Computational Applications

Volume :28(3) Page: 74 (1-20) DOI: https://doi.org/10.3390/mca28030074

Year: 2023

Iterative Schemes Involving Several Mutual Contractions

Authors : M. A. Navascués, Sangita Jha, A. K. B. Chand, R. N. Mohapatra

Journal : Mathematics

Volume :11(9) Page: 2019 (1-18) DOI: https://doi.org/10.3390/math11092019

Year: 2023

Rational quadratic trigonometric spline fractal interpolation functions with variable scalings

Authors : Vijay, A. K. B. Chand

Journal : The European Physical Journal Special Topics

Volume :232 Page: 1001-1013 DOI: https://doi.org/10.1140/epjs/s11734-023-00780-1

Year: 2023

Zipper Fractal Functions with Variable Scalings

Authors : Vijay, A. K. B. Chand

Journal : Advances in the Theory of Nonlinear Analysis and its Application

Volume :6(4) Page: 481-501 DOI: https://doi.org/10.31197/atnaa.1149689

Year: 2022

Binary Operations in Metric Spaces Satisfying Side Inequalities

Authors : M. A. Navascues, R. Pasupathi, A. K. B. Chand

Journal : Mathematics

Volume :10(1) Page: 11 DOI: https://doi.org/10.3390/math10010011

Year: 2022

Cubic spline fractal solutions of two-point boundary value problems with a non-homogeneous nowhere differentiable term

Authors : A. K. B. Chand, K. R. Tyada, M. A. Navascués

Journal : Journal of Computational and Applied Mathematics

Volume :404 Page: 113267 DOI: https://doi.org/10.1016/j.cam.2020.113267

Year: 2022

Fractal Convolution on the Rectangle

Authors : R. Pasupathi, M. A. Navascués, A. K. B. Chand

Journal : Complex Analysis and Operator Theory,

Volume :16(4) Page: 1-21 DOI: https://doi.org/10.1007/s11785-022-01227-6

Year: 2022

Generalized zipper fractal approximation and parameter identification problems

Authors : Vijay, N. Vijender, A. K. B. Chand,

Journal : Computational and Applied Mathematics

Volume :41(4) Page: 1-23 DOI: https://doi.org/10.1007/s40314-022-01862-x

Year: 2022

Non-stationary zipper $\alpha$-fractal functions and associated fractal operator,

Authors : S. Jha, S. Verma, A. K. B. Chand

Journal : Fractional Calculus and Applied Analysis

Volume :25(4) Page: 1527-1552 DOI: https://doi.org/10.1007/s13540-022-00067-7

Year: 2022

Bases consisting of self-referential functions in Banach spaces

Authors : S. Jha, M. A Navascués, A. K. B. Chand

Journal : Aequationes mathematicae

Volume :96(5) Page: 1053-1073 DOI: https://doi.org/10.1007/s00010-022-00883-5

Year: 2022

Approximation by Quantum Meyer-König-Zeller Fractal Functions

Authors : D. Kumar, A. K. B. Chand, P. R. Massopust

Journal : Fractal and Fractional

Volume : 6(12), 704, Page: 704 (1-23) DOI: https://doi.org/10.3390/fractalfract6120704

Year: 2022

Linear fractal interpolation function for data set with random noise

Authors : Mohit Kumar, Neelesh S Upadhye, A. K. B Chand

Journal : Fractals

Volume :30(9) Page: 250186 (1-17) DOI: https://doi.org/10.1142/S0218348X22501869

Year: 2022

Approximation by shape preserving fractal functions with variable scalings

Authors : Sangita Jha, A. K. B. Chand, M. A. Navascues

Journal : Calcolo

Volume :58(1) Page: 1-24 DOI: https://doi.org/10.1007/s10092-021-00396-8

Year: 2021

Some properties of the fractal convolution of functions

Authors : M. A. Navascués, R. N. Mohapatra, A. K. B. Chand

Journal : Fractional Calculus and Applied Analysis

Volume :24(6) Page: 1735-1757 DOI: https://doi.org/10.1515/fca-2021-0075

Year: 2021

Shape preserving rational cubic trigonometric fractal interpolation functions

Authors : K. R. Tyada, A. K. B. Chand, M. Sajid

Journal : Mathematics and Computers in Simulation

Volume :190 Page: 866-891 DOI: https://doi.org/10.1016/j.matcom.2021.06.015

Year: 2021

Iterated functions systems composed of generalized θ-contractions

Authors : R. Pasupathi, M. A. Navascues, A. K. B. Chand

Journal : Fractal and Fractional

Volume :5(3) Page: 69 DOI: https://doi.org/10.3390/fractalfract5030069

Year: 2021

Cyclic Meir-Keeler Contraction and Its Fractals

Authors : R. Pasupathi, A. K. B. Chand, M. A. Navascues

Journal : Numerical Functional Analysis and Optimization

Volume :49(2) Page: 1053-1072 DOI: https://doi.org/10.1080/01630563.2021.1937215

Year: 2021

DISTRIBUTION OF LINEAR FRACTAL INTERPOLATION FUNCTION FOR RANDOM DATASET WITH STABLE NOISE

Authors : M. Kumar. N. S. Upadhye, A. K. B. Chand

Journal : Fractals

Volume :29(4) Page: 2150086 DOI: https://doi.org/10.1142/S0218348X21500869

Year: 2021

Quantum Bernstein fractal functions

Authors : N Vijender, A. K. B Chand, M. A. Navascués, M. V. Sebastián

Journal : Computational and Mathematical Methods

Volume :3(3) Page: e118 DOI: https://doi.org/10.1002/cmm4.1118

Year: 2021

Generalized bivariate Hermite fractal interpolation function

Authors : Sangita Jha, A. K. B. Chand, M. A. Navascues

Journal : Numerical Analysis and Applications

Volume :14(2) Page: 103-114 DOI: https://doi.org/10.1134/S1995423921020014

Year: 2021

Parameter identification of constrained data by a new class of rational fractal function

Authors : S. K. Katiyar, A. K. B. Chand, Sangita Jha

Journal : Sibirskii Zhurnal Vychislitel'noi Matematiki

Volume :24(3) Page: 261-276 DOI: https://doi.org/10.15372/SJNM20210303

Year: 2021

Shape Preserving Aspects of Bivariate α-Fractal Function

Authors : N. Vijender, A. K. B. Chand

Journal : Fractals

Volume :29(7) Page: 2150178-1734 DOI: 10.1142/S0218348X21501784

Year: 2021

Kantorovich-Bernstein α-fractal function in L^p Spaces

Authors : A. K. B. Chand, S. Jha, M. A. Navascués

Journal : Quaestiones Mathematicae

Volume :43(2) Page: 227-241 DOI: http://dx.doi.org/10.2989/16073606.2019.1572664

Year: 2020

Multivariate affine fractal interpolation

Authors : M. A. Navascues, S. K. Katiyar, A. K. B. Chand

Journal : Fractals

Volume :28(7) Page: 2050136-329 DOI: 10.1142/S0218348X20501364

Year: 2020

Approximation properties of bivariate α-fractal functions and dimension results

Authors : S. Jha, A. K. B. Chand, M. A. Navascués, A. Sahu

Journal : Applicable Analysis

Page: 1-19 DOI: https://doi.org/10.1080/00036811.2020.1721472

Year: 2020

Data visualization by rational fractal function based on function values

Authors : K. M. Reddy, A. K. B. Chand, P. Viswanathan

Journal : The Journal of Analysis 28

Volume :28(1) Page: 261-277 DOI: https://doi.org/10.1007/s41478-018-0074-9

Year: 2020

Affine zipper fractal interpolation functions

Authors : A. K. B. Chand, N. Vijender, P. Viswanathan, A. V. Tetenov

Journal : BIT Numerical Mathematics

Volume :60 (2) Page: 319-344 DOI: https://doi.org/10.1007/s10543-019-00774-3

Year: 2020

Quantum α-fractal approximation

Authors : N. Vijender, A. K. B. Chand, M. A. Navascues, M. V. Sebastian

Journal : International Journal of Computer Mathematics

Page: 1-14 DOI: https://doi.org/10.1080/00207160.2020.1792449

Year: 2020

Cyclic iterated function systems

Authors : R. Pasupathi, A. K. B. Chand, M. A. Navascués

Journal : Journal of Fixed Point Theory and Applications

Volume :22(3) Page: 1-17 DOI: https://doi.org/10.1007/s11784-020-00790-9

Year: 2020

Family of shape preserving fractal-like Bezier curves

Authors : KM Reddy, G Saravana Kumar, AKB Chand

Journal : Fractals

Volume :28(06) Page: 2050105 DOI: https://doi.org/10.1142/S0218348X20501054

Year: 2020

Cubic spline fractal solutions of two-point boundary value problems with a non-homogeneous nowhere differentiable term

Authors : A. K. B Chand, K. R. Tyada, M. A. Navascués

Journal : Journal of Computational and Applied Mathematics

Volume :113267 DOI: https://doi.org/10.1016/j.cam.2020.113267

Year: 2020

Constrained univariate and bivariate rational fractal interpolation

Authors : K. M. Reddy, A. K. B. Chand

Journal : International Journal for Computational Methods in Engineering Science and Mechanics

Volume :20(5) Page: 404-422 DOI: https://doi.org/10.1080/15502287.2019.1687610

Year: 2019

A fractal class of generalized Jackson interpolants

Authors : M. A. Navascués, S. Jha, A. K. B. Chand, M. V. Sebastián

Journal : Computational and Mathematical Methods

Volume :1(5) Page: e1054 DOI: https://doi.org/10.1002/cmm4.1054

Year: 2019

Generalized trigonometric interpolation

Authors : M. A. Navascués, S. Jha, A. K. B. Chand, M. V. Sebastián

Journal : Journal of Computational and Applied Mathematics

Volume :354 Page: 152-162 DOI: https://doi.org/10.1016/j.cam.2018.08.003

Year: 2019

Fractal approximation of Jackson type for periodic phenomena

Authors : M. A. Navascués, S. Jha, A. K. B. Chand, M. V. Sebastián

Journal : Fractals

Volume :26(05) Page: 1850079 DOI: https://doi.org/10.1142/S0218348X18500792

Year: 2018

Shape preserving constrained and monotonic rational quintic fractal interpolation functions

Authors : AKB Chand, KR Tyada

Journal : International Journal of Advances in Engineering Sciences and Applied Mathematics

Volume :10(1) Page: 15-23 DOI: https://doi.org/10.1007/s12572-018-0207-z

Year: 2018

Bicubic partially blended rational fractal surface for a constrained interpolation problem

Authors : A. K. B. Chand, P. Viswanathan, N. Vijender

Journal : Computational and Applied Mathematics

Volume :37(1) Page: 785-804 DOI: https://doi.org/10.1007/s40314-016-0373-1

Year: 2018

Constrained shape preserving rational cubic fractal interpolation functions

Authors : A. K. B. Chand, K. R. Tyada

Journal : Rocky Mountain Journal of Mathematics

Volume :48(1) Page: 75-105 DOI: DOI: 10.1216/RMJ-2018-48-1-75

Year: 2018

Fractal Approximants on the Circle

Authors : M. A. Navascués, S. Jha, A. K. B. Chand, M. V. Sebastián

Journal : Chaotic Modeling and Simulation

Volume :3 Page: 343-353

Year: 2018

Constrained fractal interpolation functions with variable scaling

Authors : A. K. B. Chand, K. M. Reddy

Journal : Siberian Electronic Mathematical Reports

Volume :15 Page: 60-73 DOI: https://doi.org/10.17377/semi.2018.15.008

Year: 2018

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