Dr. Surath Ghosh: Assistant Professor at Vellore Institute of Technology – Chennai Campus, India

Dr. Surath Ghosh is an accomplished academic and researcher currently serving as an Assistant Professor at the Department of Mathematics, Vellore Institute of Technology (VIT), Chennai, India. He specializes in fractional calculus, numerical analysis, and mathematical modeling. After completing his Ph.D. in Mathematics from the National Institute of Technology Jamshedpur (NIT Jamshedpur) in 2022, his research has focused on developing new numerical methods and analytical techniques to solve complex fractional-order differential equations that arise in diverse fields, such as mathematical physics, population dynamics, and bio-mathematics. Dr. Ghosh has a passion for using advanced computational techniques to solve real-world problems and has published extensively in high-impact journals.

Online Profiles

Google Scholar Profile

Dr. Surath Ghosh’s academic work has garnered significant attention and recognition in the research community. As of now, his published papers have accumulated 463 citations, with a notable h-index of 8, indicating that at least 8 of his papers have each been cited 8 or more times. His i10-index stands at 6, meaning that 6 of his publications have received 10 or more citations each. These metrics highlight the growing impact of his work in the fields of fractional calculus, numerical analysis, and applied mathematics.

Education

Dr. Ghosh’s academic journey is marked by a strong foundation in both pure and applied mathematics. He completed his Ph.D. in Mathematics at NIT Jamshedpur in 2022, with a dissertation focusing on Numerical and Analytical Solutions of Fractional Models of Mathematical Physics with New Operators. Prior to his Ph.D., he earned an M.Tech. in Computer Science & Data Processing from IIT Kharagpur (2018), followed by an M.Sc. in Mathematics from Visva Bharati University (2015). He completed his B.Sc. in Mathematics from the University of Burdwan in 2013, where he developed a keen interest in advanced mathematical modeling and computational methods.

Research Focus

Dr. Ghosh’s research interests are primarily centered around fractional calculus and its applications in solving complex mathematical models. His work involves using fractional operators to model physical and biological systems more accurately, taking into account memory effects and non-local phenomena. He also focuses on the development of robust numerical methods such as spectral methods and wavelet-based techniques for solving fractional-order differential equations, which have broad applications in nonlinear dynamics, population biology, and fluid dynamics. Additionally, Dr. Ghosh explores computational techniques in theoretical computer science, further bridging the gap between mathematics and technology.

Experience

Dr. Ghosh has rich academic and research experience across multiple institutions. Before joining VIT Chennai in 2022, he served as an Assistant Professor at JECRC University, Jaipur (2021-2022). He also worked as a Senior Research Fellow and Junior Research Fellow at NIT Jamshedpur, where he contributed significantly to research on fractional calculus and mathematical modeling. Dr. Ghosh has also been a Teaching Assistant at IIT Kharagpur, where he assisted in undergraduate-level courses, such as C Programming Lab. His diverse teaching roles across various levels and courses have allowed him to develop a comprehensive understanding of both theoretical and applied mathematics.

Research Timeline & Activities

Dr. Ghosh’s research journey began during his M.Tech. studies at IIT Kharagpur, where he worked on mining frequent patterns in transactional databases. Following his transition to NIT Jamshedpur for his Ph.D., his focus shifted toward fractional calculus and its numerical solutions. His research has spanned a wide range of topics, including heat equations, population dynamics, and the modeling of physical phenomena using fractional differential equations. Dr. Ghosh’s research timeline also includes active participation in workshops, conferences, and training programs, both as a participant and presenter. Notable conferences include the International Conference on Mathematical Analysis & Applications (2020) and International Conference on Mathematical Modelling, Applied Analysis, and Computation (2021).

Awards & Honors

Dr. Ghosh has received numerous accolades throughout his academic career. Notable honors include a GATE fellowship in 2015 and a prestigious government scholarship for higher education. His paper on the analysis of heat equations, published in Mathematical Methods in the Applied Sciences, was recognized as a Top Cited Article for 2020-2021. His contributions to the field of fractional calculus and applied mathematics have earned him widespread recognition, and his research has been featured in high-impact journals. He has also been a recipient of several fellowships and grants for his research projects.

Top Noted Publication

One of Dr. Ghosh’s top publications is “An analysis for heat equations arising in diffusion process using new Yang-Abdel-Aty Cattani fractional operator”, published in Mathematical Methods in the Applied Sciences (SCI, Q2, Impact Factor – 1.8). This work was selected as a Top Cited Article for the 2020-2021 period, highlighting its significance in advancing the study of fractional operators in diffusion processes. This paper demonstrates the application of fractional calculus in understanding complex diffusion dynamics, and its recognition attests to its impact within the mathematical sciences community. Dr. Ghosh has authored or co-authored multiple other impactful publications in journals such as Numerical Methods for Partial Differential Equations, Applied Numerical Mathematics, and International Journal of Applied and Computational Mathematics.

  • An analysis for heat equations arising in diffusion processes using the new Yang-Abdel-Aty-Cattani fractional operator
    S. Kumar, S. Ghosh, B. Samet, E.F.D. Goufo
    Mathematical Methods in the Applied Sciences, 43 (9), 6062-6080 (2020)
    Citations: 220
    This paper focuses on heat equations in the context of diffusion processes, utilizing a novel Yang-Abdel-Aty-Cattani fractional operator. It offers valuable insights into the theoretical modeling of fractional phenomena in mathematical physics.

  • A fractional model for population dynamics of two interacting species using spectral and Hermite wavelets methods
    S. Kumar, S. Ghosh, R. Kumar, M. Jleli
    Numerical Methods for Partial Differential Equations, 37 (2), 1652-1672 (2021)
    Citations: 84
    This publication presents a fractional-order model for the population dynamics of two species interacting with each other. The research employs advanced wavelet methods to analyze and solve the system numerically.

  • A model for describing the velocity of a particle in Brownian motion by Robotnov function-based fractional operator
    S. Kumar, S. Ghosh, M.S.M. Lotayif, B. Samet
    Alexandria Engineering Journal, 59 (3), 1435-1449 (2020)
    Citations: 72
    This paper introduces a new model using the Robotnov function-based fractional operator to describe the velocity of a particle in Brownian motion, an important area of study in statistical physics and applied mathematics.

  • A fractional system of Cauchy-reaction diffusion equations by adopting Robotnov function
    S. Kumar, S. Ghosh, M. Jleli, S. Araci
    Numerical Methods for Partial Differential Equations, 38 (3), 470-489 (2022)
    Citations: 15
    This work extends the Robotnov fractional operator to solve Cauchy-reaction diffusion equations, contributing to the broader application of fractional calculus in solving complex reaction-diffusion systems.

  • Spectral approximation methods for nonequilibrium transport in turbulent channel flows using fADE
    S. Ghosh, S. Kundu, S. Kumar, E.E. Mahmoud
    Applied Numerical Mathematics, 162, 53-66 (2021)
    Citations: 14
    This study develops spectral approximation techniques for modeling nonequilibrium transport in turbulent channel flows using the fractional Advection-Dispersion Equation (fADE), enhancing the modeling capabilities for complex fluid dynamics.

Strength for the Best Researcher Award

  1. Innovative Research in Fractional Calculus
    Dr. Surath Ghosh’s expertise in fractional calculus has significantly contributed to advancing mathematical modeling techniques in various scientific disciplines. His work in introducing novel fractional operators, such as the Yang-Abdel-Aty-Cattani fractional operator and Robotnov function-based fractional operators, has expanded the theoretical framework for modeling complex phenomena such as diffusion processes, population dynamics, and Brownian motion. This innovative approach demonstrates his leadership in the field and positions him as a top researcher in fractional calculus.

  2. High Impact Publications and Citations
    Dr. Ghosh has an impressive publication record, with multiple highly cited articles in renowned journals like Mathematical Methods in the Applied Sciences and Numerical Methods for Partial Differential Equations. His work has garnered 463 citations, and he maintains a respectable h-index of 8, signifying the broad impact of his research on the academic community. The recognition of his publication “An analysis for heat equations arising in diffusion processes” as a Top Cited Article for 2020-2021 further exemplifies his research’s influence in advancing mathematical modeling.

  3. Pioneering Numerical Methods for Complex Systems
    A major strength of Dr. Ghosh’s research lies in the development of robust and efficient numerical methods for solving fractional-order differential equations. His application of spectral and wavelet-based methods has provided new ways to address complex models in areas like population biology, fluid dynamics, and nonlinear dynamics. This expertise is particularly relevant for solving real-world problems involving systems with memory effects, such as ecological models or turbulence in fluid flows.

  4. Multidisciplinary Approach and Real-World Applications
    Dr. Ghosh’s research seamlessly bridges mathematics, physics, and computational science. His work on fractional models of physical phenomena, like heat diffusion and Brownian motion, is paired with practical applications in population dynamics and bio-mathematics. This multidisciplinary approach not only advances theoretical research but also addresses pressing challenges in applied sciences, making Dr. Ghosh’s contributions both academically and socially impactful.

  5. Recognition and Honors in Academic Community
    Dr. Ghosh’s contributions to the field of fractional calculus and mathematical modeling have been widely recognized through prestigious awards and honors. These include fellowships such as the GATE fellowship, a government scholarship for higher education, and multiple research grants. His active participation in international conferences and workshops, as well as his contributions to high-impact journals, further highlight his ongoing influence and leadership in his field. His recognition as a Top Cited Author for 2020-2021 underlines the long-term value and relevance of his research.

Surath Ghosh, Mathematics, Best Researcher Award