Early Academic Pursuits

He embarked on his academic journey with a Bachelor of Science in Mathematics from the University of Rajasthan, Jaipur, where he laid the foundation for his passion for mathematical exploration. He continued his pursuit of knowledge with a Master's in Mathematics from the same institution, honing his skills and delving deeper into the intricacies of mathematical concepts and theories. His academic journey culminated in a Ph.D. from MNIT Jaipur, where he conducted groundbreaking research on the application of fractional calculus operators in the mathematical study of biological phenomena.

Professional Endeavors

His professional endeavors reflect his dedication to advancing the field of mathematical modeling. Armed with expertise in special functions, integral transform, and differential calculus, he has made significant contributions to research and academia. His proficiency in languages such as Python and LATEX, along with software tools like Maple, Mathematica, and MATLAB, has enabled him to explore complex mathematical problems and develop innovative solutions. Additionally, he has gained valuable experience in academic research, teaching, and consultation, further enriching his professional repertoire.

Contributions and Research Focus in Mathematical Modeling

His research focus revolves around mathematical modeling, with particular emphasis on fractional calculus, integral transform, and special functions. His Ph.D. thesis, titled "A Mathematical Study of Biological Phenomenon using Fractional Calculus Operators," exemplifies his commitment to exploring novel mathematical approaches to understanding complex real-world phenomena. Through his research, he aims to unravel the underlying mathematical principles governing biological processes and contribute to the interdisciplinary field of epidemiology.

Accolades and Recognition

His contributions to mathematical modeling have been recognized through various awards and achievements. He has been awarded the prestigious Young Scholar Award by MTTF and Poornima College of Engineering, Jaipur, in recognition of his outstanding research contributions. Additionally, he has excelled in national-level examinations such as GATE and NET JRF, further affirming his prowess in the field of mathematics.

Impact and Influence

His research has the potential to have a significant impact on both academic discourse and real-world applications. By applying mathematical modeling techniques to biological phenomena, he seeks to provide insights into complex systems and contribute to advancements in epidemiology and related fields. Through his mentorship and teaching endeavors, he aims to inspire future generations of mathematicians and researchers, fostering a culture of innovation and inquiry.

Legacy and Future Contributions

Notable Publications

• A new fractional mathematical model to study the impact of vaccination on COVID-19 outbreaks
• Fractionalized mathematical models for drug diffusion
• Numerical modeling on age-based study of coronavirus transmission
• Analysis of the family of integral equation involving incomplete types of I and Ī-functions
• A generalized study of the distribution of buffer over calcium on a fractional dimension
• Fractional differential equations related to an integral operator involving the incomplete I‐function as a kernel
• A study of incomplete I-functions relating to certain fractional integral operators
• A new investigation on fractionalized modeling of human liver
• Mathematical Model on the Effects of Environmental Pollution on Biological Populations
• A novel study of the impact of vaccination on pneumonia via fractional approach
• Several Computational Based Expansions for Incomplete ℵ-Function Using the Leibniz Rule
• Numerical study of a new time-fractional Mpox model using Caputo fractional derivatives
• Srivastava-Luo-Raina M-transform involving the incomplete I-functions
• A novel investigation of the hepatitis B virus using a fractional operator with a non-local kernel