Dr. KANIKA | Mathematics | Best Researcher Award

Shoolini University of Biotechnology and Management Sciences- India

Author Profile

Early Academic Pursuits

Kanika Dhawan embarked on her academic journey with a strong foundation in Mathematics. Beginning with her Bachelor’s degree from Government Arya Degree College, Nurpur, Kanika consistently excelled, laying the groundwork for her future academic endeavors. She pursued a Master’s degree in Mathematics from Himachal Pradesh University, where her passion for mathematical research began to flourish. This led her to complete an M.Phil. in Mathematics and subsequently, a Ph.D. at the National Institute of Technology, Hamirpur, focusing on the existence and stability of solutions for fractional differential equations.

Professional Endeavors

As an Assistant Professor at Yognanada School of AI, Computer and Data Science, Shoolini University, Solan, Kanika Dhawan combines her research expertise with a commitment to teaching excellence. Her career objective underscores her dedication to contributing significantly to her field through continuous learning and impactful teaching methodologies.

Contributions and Research Focus

Kanika’s research primarily revolves around fractional differential equations and fixed point theory. Her notable contributions include publications in esteemed journals such as Qualitative Theory of Dynamics Systems and Bulletin des Sciences Mathematiques. These publications explore various aspects of fractional differential equations, demonstrating Kanika’s proficiency in theoretical analysis and mathematical modeling.

Accolades and Recognition

Kanika Dhawan’s academic prowess has been recognized through several accolades. Notably, she achieved a high rank in the Graduate Aptitude Test in Engineering (GATE) in Mathematical Sciences and has qualified the State Eligibility Test (SET) in Mathematical Sciences. Her research has been published in SCI and SCOPUS indexed journals, highlighting her impact in the mathematical community.

Impact and Influence

Through her research, Kanika has contributed significantly to advancing the understanding of fractional differential equations and their applications. Her work on stability, boundary value problems, and qualitative analysis has broad implications across various scientific and engineering disciplines, impacting both theoretical frameworks and practical implementations.

Legacy and Future Contributions

Looking ahead, Kanika Dhawan aims to continue her research trajectory, further exploring the complexities of fractional calculus and its interdisciplinary applications. Her future contributions are expected to deepen our understanding of mathematical theories and enhance their practical relevance in real-world scenarios.Kanika Dhawan’s journey exemplifies a dedication to academic excellence and a profound commitment to advancing mathematical research and education. Her interdisciplinary approach and rigorous methodologies promise continued innovation and impact in the field of mathematics.

Citations

A total of 44 citations for his publications, demonstrating the impact and recognition of his research within the academic community.

  • Citations         44
  • h-index           8
  • i10-index        5

Notable Publications 

Qualitative analysis of coupled fractional differential equations involving Hilfer derivative

K Dhawan, RK Vats, RP Agarwal
Analele ştiinţifice ale Universităţii” Ovidius” Constanţa. Seria Matematică …
Approximate controllability of delay nonautonomous integro‐differential system with impulses

A Kumar, RK Vats, K Dhawan, A Kumar
Mathematical Methods in the Applied Sciences
Analysis of neutral fractional differential equation via the method of upper and lower solution

K Dhawan, RK Vats, V Vijayakumar
Qualitative theory of dynamical systems
Well-posedness and Ulam-Hyers stability of Hilfer fractional differential equations of order (1, 2] with nonlocal boundary conditions

K Dhawan, RK Vats, AK Nain, A Shukla
Bulletin des Sciences Mathématiques
Well-posedness of a nonlinear Hilfer fractional derivative model for the Antarctic circumpolar current

HM Srivastava, K Dhawan, RK Vats, AK Nain
Zeitschrift für angewandte Mathematik und Physik
KANIKA | Mathematics | Best Researcher Award

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