Department of Mathematics | Indian Institute Of Technology Madras , Chennai

Announcements

team

Prof.Chand A.K.B

Professor

044 - [22]-57 [46]-29

chand

Personal Link

KCB 650

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

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  1. Iterative Schemes Involving Several Mutual Contractions

    Author: 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

  2. Rational quadratic trigonometric spline fractal interpolation functions with variable scalings

    Author: 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

  3. Convexity-Preserving Rational Cubic Zipper Fractal Interpolation Curves and Surfaces

    Author: 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

  4. Zipper Fractal Functions with Variable Scalings

    Author: 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

  5. Binary Operations in Metric Spaces Satisfying Side Inequalities

    Author: 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

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

    Author: 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

  7. Fractal Convolution on the Rectangle

    Author: 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

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

    Author: 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

  9. Bases consisting of self-referential functions in BaKCBh spaces

    Author: 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

  10. Approximation by Quantum Meyer-König-Zeller Fractal Functions

    Author: 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

  11. Linear fractal interpolation function for data set with random noise

    Author: 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

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

    Author: 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

  13. Shape Preserving Aspects of Bivariate α-Fractal Function

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

    Journal: Fractals

    Volume: 29(7)

    Page: 2150178-1734

    DOI: 10.1142/S0218348X21501784

    Year: 2021

  14. Generalized bivariate Hermite fractal interpolation function

    Author: 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

  15. Quantum Bernstein fractal functions

    Author: 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

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

    Author: 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

  17. Iterated functions systems composed of generalized θ-contractions

    Author: 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

  18. Shape preserving rational cubic trigonometric fractal interpolation functions

    Author: 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

  19. Approximation by shape preserving fractal functions with variable scalings

    Author: 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

  20. Affine zipper fractal interpolation functions

    Author: 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

  21. Family of shape preserving fractal-like Bezier curves

    Author: KM Reddy, G Saravana Kumar, AKB Chand

    Journal: Fractals

    Volume: 28(06)

    Page: 2050105

    DOI: https://doi.org/10.1142/S0218348X20501054

    Year: 2020

  22. Quantum α-fractal approximation

    Author: 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

  23. Data visualization by rational fractal function based on function values

    Author: 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

  24. Multivariate affine fractal interpolation

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

    Journal: Fractals

    Volume: 28(7)

    Page: 2050136-329

    DOI: 10.1142/S0218348X20501364

    Year: 2020

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

    Author: 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

  26. A fractal class of generalized Jackson interpolants

    Author: 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

  27. Generalized trigonometric interpolation

    Author: 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

  28. Fractal Approximants on the Circle

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

    Journal: Chaotic Modeling and Simulation

    Volume: 3

    Page: 343-353

    Year: 2018

  29. Constrained shape preserving rational cubic fractal interpolation functions

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

    Journal: Rocky Mountain Journal of Mathematics

    Volume: 48(1)

    Page: 75-105

    DOI: 10.1216/RMJ-2018-48-1-75

    Year: 2018

  30. Fractal approximation of Jackson type for periodic phenomena

    Author: 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

  31. Shape preserving constrained and monotonic rational quintic fractal interpolation functions

    Author: 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

  32. Bicubic partially blended rational fractal surface for a constrained interpolation problem

    Author: 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

  33. Generalized zipper fractal approximation and parameter identification problems

    Author: 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

  34. Cyclic Meir-Keeler Contraction and Its Fractals

    Author: R. Pasupathi, A. K. B. Chand, M. A. NavascuesR. 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

  35. Some properties of the fractal convolution of functions

    Author: 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

  36. Cyclic iterated function systems

    Author: 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

  37. Approximation properties of bivariate α-fractal functions and dimension results

    Author: 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

  38. Constrained univariate and bivariate rational fractal interpolation

    Author: 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

  39. Constrained fractal interpolation functions with variable scaling

    Author: 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