Ministry of Education
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Dr Saurabh Verma

vidwan id: 225013
Male

Assistant Professor, Department of Applied Sciences
Indian Institute of Information Technology, Allahabad

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Expertise

  • Mathematics

Publications

Total Articles 44
Books 0
Proceedings 0

Publications

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Scopus

Citations 400
h-index 13

CrossRef

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Citations 397
h-index 14
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Bio

Fractal Geometry, Approximation Theory

Personal Details

  • Male
  • Assistant Professor , Indian Institute of Information Technology, Allahabad
  • Department of Applied Sciences, Indian Institute of Information Technology Allahabad
Ph. D
Indian Institute of Technology Delhi 2020
Assistant Professor Mar 2021 – Present
Indian Institute of Information Technology, Allahabad | Department of Applied Sciences

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Co-Authors (8)

Syed

Dr Syed Abbas

Indian Institute of Technology Mandi

Arya Kumar

Dr Arya Kumar Bedabrata Chand

Indian Institute of Technology Madras

V. V. M. S

Dr V. V. M. S Chandramouli

Indian Institute of Technology Jodhpur

Sangita

Dr Sangita Jha

National Institute of Technology Rourkela

Amit

Prof Amit Priyadarshi

Indian Institute of Technology Delhi

Srijanani Anurag

Dr Srijanani Anurag Prasad

Indian Institute of Technology, Tirupati

Tanmoy

Prof Tanmoy Som

Indian Institute of Technology (BHU), Varanasi

Viswanathan Puthan

Dr Viswanathan Puthan Veedu

Indian Institute of Technology Delhi

Scholarly Work

Analytical and Approximational aspects of self-similar and self-affine fractals with overlapping in the Heisenberg group

Funding Agency: NBHM, Department of Atomic Energy

Co-PI

234,000

2025 - Ongoing

Ongoing
Numerical computation of Hausdorff dimension of fractal sets

Funding Agency: IIIT Allahabad

PI

610,000

2024 - Ongoing

Ongoing
Geometry of Fractal Sets and Fractal Functions

Funding Agency: SERB

PI

90,000

2023 - 2023

Completed
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Scholarly Publications

Vector-valued fractal functions: Fractal dimension and fractional calculus

Open Access
Article
Indagationes Mathematicae. Year: 2023. Volume: 34 , Issue: 4 , Pages: 830-853 .
Authors: Verma M.;Priyadarshi A.;Verma S.
DOI 10.1016/j.indag.2023.03.005
21 21

Analytical and dimensional properties of fractal interpolation functions on the Sierpiński gasket

Open Access
Article
Fractional Calculus and Applied Analysis. Year: 2023. Volume: 26 , Issue: 3 , Pages: 1294-1325 .
Authors: Verma M.;Priyadarshi A.;Verma S.
DOI 10.1007/s13540-023-00148-1
14 20

A note on stability and fractal dimension of bivariate α-fractal functions

Open Access
Article
Numerical Algorithms. Year: 2023. Volume: 93 , Issue: 4 , Pages: 1811-1833 .
Authors: Agrawal V.;Som T.;Verma S.
DOI 10.1007/s11075-022-01490-w
5 6

Fractal interpolation function on products of the Sierpiński gaskets

Open Access
Article
Year: 2023. Volume: 166 .
Authors: Prasad S.A.;Verma S.
DOI 10.1016/j.chaos.2022.112988
14 15

Dimensional study of COVID-19 via fractal functions

Open Access
journal-article
The European Physical Journal Special Topics. Year: 2023. Volume: 232 , Issue: 7 , Pages: 1061-1070 .
Authors: Ekta Agrawal;Saurabh Verma
DOI 10.1140/epjs/s11734-023-00774-z
7

Fractal Dimension for a Class of Complex-Valued Fractal Interpolation Functions

Open Access
Conference Paper
Year: 2023. Volume: 419 , Pages: 63-77 .
Authors: Verma M.;Priyadarshi A.;Verma S.
DOI 10.1007/978-981-99-0597-3_6
2 1

Dimensional Analysis of Mixed Riemann–Liouville Fractional Integral of Vector-Valued Functions

Open Access
Conference Paper
Year: 2023. Volume: 419 , Pages: 93-109 .
Authors: Pandey M.;Som T.;Verma S.
DOI 10.1007/978-981-99-0597-3_8

Smoothness analysis and approximation aspects of non-stationary bivariate fractal functions

Open Access
Article
Year: 2023. Volume: 175 .
Authors: Verma S.;Jha S.;Navascués M.A.
DOI 10.1016/j.chaos.2023.114003
1 3