Dr. Vijay Kumar Vyas
Assistant Professor of Mathematics • Department of Basic Sciences • The ICFAI University Jaipur
Short bio
Mathematician with a Ph.D. in Mathematics and more than 15 years of post-doctoral teaching and research experience in higher education. Experienced in delivering mathematics courses for engineering, computing, and business programs in both Indian and international academic environments. Research interests include fractional calculus, special functions, numerical analysis, and applied mathematics. Author of multiple publications in Scopus and Web of Science indexed journals and active participant in international mathematical conferences.
Teaching
“Qui ne continue pas d'apprendre est indigne d'enseigner.” — Gaston Bachelard
Current & Previous Courses
Discrete Mathematics
Faculty Course Module
Engineering Mathematics
Faculty Course Module
Data Science
Faculty Course Module
Statistics
Faculty Course Module
Numerical Analysis
Faculty Course Module
Complex Analysis
Faculty Course Module
Differential Equations
Faculty Course Module
Advanced Calculus
Faculty Course Module
Business Mathematics
Faculty Course Module
Research & Development
“The Best for the Group comes when everyone in the group does what's best for himself AND the group.” — John Nash
Research Interests
- •Fractional Calculus
- •q-Calculus
- •Integral Transforms
- •Special Functions
- •Mathematical Analysis
- •Numerical Analysis
- •Applied Mathematics
Projects
Application of Differential Equations in Engineering and Physics
Undergraduate Graduation Project Supervision
Numerical Methods for Solving Partial Differential Equations
Undergraduate Graduation Project Supervision
Fractal Geometry and Its Applications in Nature and Art
Undergraduate Graduation Project Supervision
Graph Theory and Its Application in Computer Science
Undergraduate Graduation Project Supervision
Mathematical Analysis of Generalized Basic Hypergenic Function in Quantum Calculus
PhD Research Project Supervision for student Arti Sharma
Experience & Education
Academic & Professional Experience
Assistant Professor of Mathematics / Program Coordinator (PhD)-IcfaiTech
August 2023 – PresentThe ICFAI University Jaipur, India
Program Coordinator (PhD)-IcfaiTech, Coordinator Placement Support, Coordinator of Student’s Mentors, Head of Department of Basic Sciences.
Assistant Professor of Mathematics
October 2017 – July 2023Sur University College, Oman
Taught a range of courses including Business Mathematics, Statistics, and Engineering Mathematics. Developed and delivered curriculum for undergraduate programs affiliated with American University Cairo and Bond University Australia. Engaged in academic advising and provided support for students in their academic and career development.
Assistant Professor of Mathematics
August 2013 – March 2017The ICFAI University Jaipur, India
Education
Ph.D. in Mathematics
2011J. N. Vyas University, Jodhpur (Raj.), India
M. Phil. in Mathematics
2008Algappa University, Karaikudi, India
M.Sc. in Mathematics
2004J. N. Vyas University, Jodhpur (Raj.), India
Publications
Showing 20 of 20 publicationsJournal papers, conference proceedings, book chapters, and academic publications.
On applications of q-fractional calculus operators and transformations involving generalized basic hypergeometric functions
Vyas, V. K.
Bulletin of Pure and Applied Mathematics, 4(2), 225–235
On fractional q-calculus operators involving the generalized basic hypergeometric function of two variables
Vyas, V. K.
Journal of Rajasthan Academy of Physical Sciences, 9(2), 183–194
On transformations involving generalized basic hypergeometric function of two variables
Vyas, V. K.
Revista Técnica de la Facultad de Ingeniería Universidad del Zulia, 33(3), 234–242
Certain fractional q-integral formulas for the generalized basic hypergeometric functions of two variables
Vyas, V. K.
Journal of Inequalities and Special Functions, 1(2), 54–63
Bilinear generating relations for a family of q-polynomials and generalized basic hypergeometric functions
Vyas, V. K.
Acta et Commentationes Universitatis Tartuensis de Mathematica, 16(1), 73–82
On fractional calculus of a basic analogue of the I-function
Vyas, V. K.
Proceedings of the Society of Special Function and Applications, 23, 65–72
On applications of q-Laplace transforms to the basic analogue of the generalized hypergeometric functions
Vyas, V. K.
Ganita Sandesh, 29(1–2), 45–56
q-Sumudu transform of product of generalized basic hypergeometric function and application
Vyas, V. K.
Applications and Applied Mathematics: An International Journal, 14(1), 568–582
q-Laplace transforms for product of general class of q-polynomials with basic analogue of generalized hypergeometric function
Vyas, V. K.
Journal of Inequalities and Special Functions, 11(2), 82–96
The Marichev–Saigo–Maeda fractional operators on generalized function
Vyas, V. K.
Mathematics in Engineering, Science and Aerospace, 11(3), 639–648
Fractional q-integral operators for the product of a q-polynomial and q-analogue of the I-functions and their applications
Vyas, V. K.
Mathematical Problems in Engineering, 2021, Article 6648812
A class of the extended multi-index Bessel-Maitland functions and It’s Properties
Vyas, V. K.
Mathematical and Computational Intelligence to Socio-scientific Analytics and Applications (pp. 93-106). Singapore: Springer Nature Singapore
Certain expansion formulae involving incomplete I-functions
Vyas, V. K.
TWMS Journal of Applied and Engineering Mathematics, 14(1), 402–409
Homotopy analysis transform method for solving time-fractional nonlinear Schrödinger equations using Atangana–Baleanu derivative
Vyas, V. K.
Advances in Mathematical Sciences and Applications, 35(1), 349–368
Generalized q-fractional Saigo operator associated with the four-parameter Mittag–Leffler function
Vyas, V. K.
Boletim da Sociedade Paranaense de Matemática, 44, 1–10
Composition formula for Saigo fractional q-calculus operator for the q-analogue of the H-function
Vyas, V. K.
International Journal of Mathematics and Mathematical Sciences, 2026, Article 9544026
Generalized Saigo Fractional Operators involving Product of Hypergeometric Function of Two Variables and Polynomials
Vyas, V. K.
Boletim da Sociedade Paranaense de Matemática
Analytical Solution of the RLC Transmission Line (Telegraph) Equation Using the Shehu Transform Method
Vyas, V. K., A. K.
Under peer review in an SCIE-indexed journal
Analytical Solution and Convergence Analysis of a Fractional-Order SIR Epidemic Model Using the Shehu Transform Method
V. K. Vyas
Manuscript under review
Solutions of a q-Analogue of the Telegraph Equation Using the q-Sumudu Transform
V. K. Vyas, Arti Sharma, Nguyen Huu Can, and R. K. Chaurasia
Manuscript under review
Honors & Awards
Selected for full funding (ICIAM 2023 Tokyo Financial Support Program) to attend and present research work in ICIAM 2023
ICIAM 2023 Tokyo • 2023
Book Published/Edited
Proceedings of the International Conference on Intelligent Vision and Computing (ICIVC 2021)
2022Publisher: Springer, ISBN: 978-3-030-97198-4
Conferences/Workshops Attended
National Meet of Research Scholars in Mathematical Sciences-09, IIT Roorkee
2009International Conference on Mathematical Sciences, CMS Pala
2011International Conference on Special Functions and their Applications, J. N. V. University Jodhpur
20118th International Congress on Industrial and Applied Mathematics (ICIAM2015), Beijing
20151st India-Greater Mekong Sub-Region International Conference, Goa
20182nd International Conference on Communication & Computational Technologies –ICCCT 2019, Jaipur
201910th International Congress on Industrial and Applied Mathematics (ICIAM2023), Tokyo
2023Conference/Workshop Organized
24th FAI International Conference
2021Organizing Secretary
International Conference on Intelligent Vision and Computing
General Chair
International Conference on Futuristic Aspects in Science & Engineering (ICFAiSE-2025)
2025Convener
Professional Memberships
Life member of society of special Functions and Applications
Life member of FATER Academy of India, Kanyakumari, India
Senior member of Hong Kong Chemical, Biological & Environmental Engineering Society (HKCBEES)
Life member of Institute of Global Professionals
Additional Skills and Language Proficiency
English
Advanced (CEFR C1 Level) – Fluent in both spoken and written communication. Primary medium of instruction and academic engagement.
Hindi
Native proficiency – Fluent in academic and professional communication.
Online Teaching Platforms
Experienced with Google Meet, Microsoft Teams, Moodle, and Zoom.
Contact Information
Campus Address
Jaipur, India