Early Academic Pursuits

She embarked on her academic journey with a strong foundation in mathematics, which laid the groundwork for her pioneering research in fractional differential equations. She obtained her Bachelor's degree in Mathematics from MGSG College, Punjab, followed by a Master's degree from Punjabi University. Subsequently, she pursued her Ph.D. in Mathematics at Thapar University, Punjab, under the guidance of Prof. Rajesh Kumar Gupta. Her doctoral thesis, titled "Symmetry Analysis of Nonlinear Fractional Partial Differential Equations," marked the beginning of her illustrious career in applied mathematics, focusing on developing analytical methods for investigating complex mathematical models.

Professional Endeavors

Her professional journey is marked by her dedication to both research and teaching. After completing her Ph.D., she served as a Research Associate at Thapar Institute of Engineering & Technology, where she continued her research endeavors in fractional calculus and nonlinear systems. Currently, as an Assistant Professor at Chandigarh University, she plays a pivotal role in mentoring students and developing curriculum for various courses in mathematics. Her commitment to education is reflected in her role as a designated Master subject coordinator, where she actively contributes to curriculum development and mentorship initiatives.

Contributions and Research Focus in Fractional differential equations

Her research interests center around symmetry analysis, fractional differential equations, and exact solutions for nonlinear systems. Her groundbreaking work has led to the development of novel analytical methods for investigating fractional mathematical models, with significant applications across diverse fields such as material science, biology, pollution control, and finance. Notably, her research has provided insights into the dynamical behaviors of diseases, including HIV, Covid-19, and tumor cells, highlighting the direct impact of mathematical modeling in addressing global health challenges.

Accolades and Recognition

Her research achievements have garnered international recognition and accolades at a young age. Her prolific publication record includes 13 papers, with 12 published in prestigious international journals. She was honored among the Top 100 young Mathematicians at the 8th Heidelberg Laureate Forum, where she interacted with esteemed award winners, including Fields Medalists. Additionally, she has been invited to speak at renowned conferences worldwide, including Cornell University, Waseda University, and La Trobe University, among others. Her contributions have also been acknowledged through prestigious grants from the National Board for Higher Mathematics and her appointment as an established research reviewer at reputed journals.

Impact and Influence

Her research has made a significant impact on the field of applied mathematics, particularly in advancing our understanding of fractional differential equations and their applications. Her collaborations with international researchers and her participation in conferences have facilitated knowledge exchange and interdisciplinary collaborations. Furthermore, her role as a mentor and educator has inspired numerous students to pursue careers in mathematics and research, thereby perpetuating her influence in the academic community.

Legacy and Future Contributions

Notable Publications

• Existence of series solutions for certain nonlinear systems of time fractional partial differential equations
• Symmetries, Explicit Solutions and Conservation Laws for Some Time Space Fractional Nonlinear Systems
• Exact Series Solutions and Conservation Laws of Time Fractional Three Coupled KdV System
• Symmetry classification and exact solutions of (3+ 1)-dimensional fractional nonlinear incompressible non-hydrostatic coupled Boussinesq equations
• Investigation of exact solutions and conservation laws for nonlinear fractional (2+ 1)-dimensional Burgers system of equations
• Symmetry Analysis of Nonlinear Fractional Partial Differential Equations
• On invariant analysis of some time fractional nonlinear systems of partial differential equations. I
• Space–time fractional nonlinear partial differential equations: symmetry analysis and conservation laws
• Conservation laws for certain time fractional nonlinear systems of partial differential equations
• Generalized Lie symmetry approach for fractional order systems of differential equations. III