Dinesh Kumar | Mathematics | Best Researcher Award

Assist Prof Dr. Dinesh Kumar | Mathematics | Best Researcher Award

Agriculture UNiversity, Jodhpur, India

Author Profile

Early Academic Pursuits 🎓

Dr. Dinesh Kumar’s academic journey began at J.N. Vyas University, Jodhpur, where he laid a solid foundation in mathematics. His passion for the subject drove him to pursue a Bachelor of Science (B.Sc.) degree, followed by a Master of Science (M.Sc.), both with a strong focus on Physics, Chemistry, and Mathematics. His remarkable dedication culminated in earning an M.Phil. in Mathematics with a commendable 76.4%. However, it was his Ph.D. thesis, titled “Fractional Differintegrals and Their Applications,” that truly showcased his expertise and interest in fractional calculus. This rigorous academic background equipped him with the tools needed for a successful career in mathematics.

Professional Endeavors 🏛️

Dr. Kumar’s professional journey is a testament to his commitment to teaching and research. He has accumulated over nine years of teaching experience, starting as a Senior Lecturer at Swami Keshwanand P.G. College, where he nurtured students’ understanding of mathematics. His role as a Guest Faculty at Jai Narain Vyas University further enriched his teaching portfolio, allowing him to engage with a diverse student body. Currently, he serves as an Assistant Professor of Mathematics at the College of Agriculture, Sumerpur, in Agriculture University of Jodhpur, where he continues to inspire future mathematicians.In addition to teaching, Dr. Kumar held a prestigious Post-Doctoral Research Fellowship (PDF) from the National Board for Higher Mathematics (NBHM) at Jai Narain Vyas University. This opportunity enabled him to delve deeper into his research interests while collaborating with leading scholars in the field.

Contributions and Research Focus 📚

Dr. Kumar’s research is primarily centered on fractional calculus, a field that has gained increasing significance in various scientific and engineering applications. His work on fractional integration operators and their applications has contributed valuable insights to mathematical physics and differential equations. He has also explored special functions, integral transforms, and q-fractional calculus, pushing the boundaries of existing knowledge in these areas.His Ph.D. and M.Phil. dissertations laid the groundwork for his research contributions, establishing him as a thought leader in fractional calculus. His research outputs have not only advanced theoretical understanding but also paved the way for practical applications, enhancing the relevance of mathematics in real-world scenarios.

Accolades and Recognition 🏆

Throughout his career, Dr. Kumar has received various accolades for his teaching and research endeavors. His achievements in academics have earned him respect among peers and students alike. As an educator, he is known for his engaging teaching style, which makes complex mathematical concepts accessible and enjoyable for students. His ability to foster critical thinking and problem-solving skills in his students is a hallmark of his teaching philosophy.Additionally, his research has been recognized at conferences and seminars, where he has presented his findings to a wider audience, further solidifying his reputation in the mathematical community.

Impact and Influence 🌍

Dr. Kumar’s influence extends beyond the classroom. His research in fractional calculus has had a significant impact on various fields, including engineering, physics, and finance. By bridging the gap between theory and application, he has enabled researchers and practitioners to leverage fractional calculus in innovative ways. His contributions are not only academic but also practical, making a tangible difference in the application of mathematics to solve real-world problems.

Moreover, his role as a mentor has inspired many students to pursue advanced studies in mathematics, thereby nurturing the next generation of mathematicians. Through his guidance and support, he has fostered an environment of academic excellence and curiosity.

Legacy and Future Contributions 🔮

Looking ahead, Dr. Dinesh Kumar aims to continue his exploration of fractional calculus and its applications. His commitment to advancing mathematical knowledge and education remains unwavering. He envisions developing collaborative research projects that will further enhance the understanding and application of fractional calculus across various disciplines.Additionally, Dr. Kumar is dedicated to mentoring young researchers and students, ensuring that his legacy of passion for mathematics and commitment to excellence continues. By sharing his knowledge and experiences, he hopes to inspire others to make their own contributions to the field.In summary, Dr. Kumar’s journey in academia reflects a deep commitment to education, research, and the application of mathematics. His impact is felt not only through his scholarly contributions but also through the many students he has inspired along the way. As he continues his work, the future looks bright for both him and the field of mathematics he so passionately represents.

Citations

A total of 1044 citations for his publications, demonstrating the impact and recognition of his research within the academic community.

  • Citations         1044
  • h-index           19
  • i10-index        38

Notable Publications

  • Title: Generalized fractional integrals of product of two H-functions and a general class of polynomials
    Authors: D. Baleanu, D. Kumar, S. D. Purohit
    Journal: International Journal of Computer Mathematics
    Year: 2016.
  • Title: On generalized fractional kinetic equations involving generalized Bessel function of the first kind
    Authors: D. Kumar, S. D. Purohit, A. Secer, A. Atangana
    Journal: Mathematical Problems in Engineering
    Year: 2015.
  • Title: Generalized fractional integrals involving product of multivariable H-function and a general class of polynomials
    Authors: D. Kumar, S. D. Purohit, J. Choi
    Journal: Journal of Nonlinear Science and Applications
    Year: 2016.
  • Title: Solutions of generalized fractional kinetic equations involving Aleph functions
    Authors: J. Choi, D. Kumar
    Journal: Mathematical Communications
    Year: 2015.
  • Title: Generalized fractional integration of the ℵ-function
    Authors: J. Ram, D. Kumar
    Journal: A
    Year: 2011.

Komal Singla | Fractional differential equations | Best Researcher Award

Dr. Komal Singla - Fractional differential equations - Best Researcher Award 🏆

Chandigarh University - India

Professional Profiles

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

As she continues her academic and research journey, her legacy lies in her innovative contributions to fractional calculus and applied mathematics. Through her ongoing research endeavors, mentorship initiatives, and collaborative partnerships, she seeks to further expand the frontiers of knowledge in her field and address pressing societal challenges. Dr. Singla's future contributions hold the promise of revolutionizing mathematical modeling techniques and fostering interdisciplinary collaborations for the betterment of society.

Citations

  • Citations               294
  • h-index                  6
  • i10-index               6

Notable Publications

Bichitra Kumar Lenka | Stability theory | Best Researcher Award

Dr. Bichitra Kumar Lenka - Stability theory - Best Researcher Award🏆

Indian Institute of Technology (Indian School of Mines), Dhanbad - India

Professional Profiles

Early Academic Pursuits

His journey in academia began with a strong foundation in mathematics. Graduating with honors in Mathematics from Ravenshaw University Cuttack, he exhibited exceptional performance with a remarkable 92.2% score. This laid the groundwork for his future academic endeavors. His pursuit of knowledge continued as he completed his Master of Science in Mathematics from the prestigious Indian Institute of Technology Delhi, delving deeper into the subject under the guidance of Dr. Vijayananda Kalyana Srinivas Kumar Vasana. These formative years equipped him with a robust understanding of mathematical principles, setting the stage for his doctoral studies.

Professional Endeavors

His professional journey saw him traversing through various esteemed institutions, each contributing to his growth as a researcher. His stint as a Project Assistant at the Indian Institute of Science Education and Research Kolkata provided him with invaluable research experience, laying the groundwork for his future pursuits. Subsequently, he served as an Assistant Professor at the National Institute of Technology Sikkim, gaining exposure to academic responsibilities and nurturing young minds.

His role as an Institute Post-Doctoral Fellow at both the Indian Institute of Technology Guwahati and Indian Institute of Technology (Indian School of Mines) Dhanbad, under the mentorship of Professors Swaroop Nandan Bora and Ranjit Kumar Upadhyay respectively, further honed his research acumen and expertise in Stability Theory, Fractional Calculus, and Control Theory.

Contributions and Research Focus in Stability theory

His research primarily focuses on Stability Theory, Fractional Calculus, and Control Theory. His doctoral thesis, titled "Dynamics and Stability of Some Classes of Fractional Order Systems," under the guidance of Professor Dr. Soumitro Banerjee at the Indian Institute of Science Education and Research Kolkata, made significant contributions to the field. His work explores the dynamics and stability aspects of fractional-order systems, shedding light on novel techniques and methodologies to analyze and control complex dynamical systems. His current research endeavors delve deeper into Fractional Calculus, Comparison Stability Theory, Lyapunov Stability Theory, and Nonlinear Dynamics, aiming to address pressing challenges in system stability and control.

Accolades and Recognition

His scholarly contributions have garnered recognition and accolades within the academic community. His doctoral research, marked by its depth and innovation, earned him commendations from peers and mentors alike. Additionally, his tenure as an Institute Post-Doctoral Fellow at various premier institutes reflects his academic prowess and dedication to advancing the frontiers of knowledge in his field.

Impact and Influence

His research contributions have the potential to significantly impact various domains, including engineering, physics, and applied mathematics. By unraveling the complexities of fractional-order systems and stability theory, his work paves the way for the development of robust control strategies and the understanding of intricate dynamical phenomena. His insights into nonlinear dynamics and control theory hold promise for applications in diverse areas, ranging from aerospace engineering to biological systems.

Legacy and Future Contributions

As he continues his academic journey, his legacy is poised to endure through his groundbreaking research and mentorship endeavors. With a focus on fostering interdisciplinary collaborations and mentoring the next generation of researchers, he aims to leave a lasting impact on the field of stability theory and fractional calculus. His future contributions hold the potential to redefine our understanding of complex dynamical systems and inspire novel solutions to real-world problems.

Citations

  • Citations               192
  • h-index                   6
  • i10-index                5

Notable Publications