Mohammed Fadel | Mathematics | Best Researcher Award

Assist. Prof. Dr. Mohammed Fadel | Mathematics | Best Researcher Award

Assist. Prof. Dr. Mohammed Fadel, Lahej University, Yemen.

🌟 Professional Profile

Early Academic Pursuits πŸŽ“

Dr. Mohammed Fadel Mohammed Abdalluh began his academic journey with a deep-rooted passion for mathematics. His early years in academia were dedicated to mastering mathematical theories and developing expertise in various mathematical disciplines. His commitment to learning laid the foundation for his future research and professional accomplishments.

Professional Endeavors πŸ’Ό

Dr. Abdalluh currently serves as an Assistant Professor at the University of Lahej, Yemen (March 2023 – Present). In this role, he teaches courses such as Set Theory, Calculus, Numerical Analysis, Linear Algebra, and Partial Differential Equations. He also holds the position of Executive Secretary for the University of Lahej Journal of Applied Science and Humanities (January 2024–present). His previous academic roles include positions as a University Tutor at Aden University and Aden Community College, where he contributed to curriculum development and administrative responsibilities.

Contributions and Research Focus On Mathematics 🌍

Dr. Abdalluh has made significant contributions to the field of q-special functions, quasi-monomiality, fractional calculus, and degenerate special polynomials. His research primarily explores q-quasi-monomiality, (p,q)-special functions, and their applications. With more than 20 years of teaching experience, he has successfully introduced new mathematical models and symbolic methods to address complex problems in mathematics. His ongoing research continues to push the boundaries of mathematical analysis and innovation.

Impact and Influence 🎯

As a scholar, Dr. Abdalluh has collaborated with renowned mathematicians worldwide, including Prof. Clemente Cesarano, Prof. Praveen Agarwal, Prof. Wei-Shih Du, and many others. His research findings have influenced contemporary mathematical studies and have been recognized in the global academic community. Additionally, he has played an essential role as a reviewer for leading journals, ensuring the advancement of mathematical knowledge.

Awards and Honors πŸ†

Dr. Abdalluh’s excellence in research and academia has been recognized with numerous awards. He received the Second-Best Scientific Researcher Quality Award in Applied Sciences from the University of Lahej (2024), a testament to his significant contributions to mathematical research. He is also affiliated with esteemed institutions, including the International Mathematical Union and the Denish Arab Centre for Future Studies (DACFS).

Academic Citations πŸ”–

Dr. Abdalluh’s research has been widely cited, reflecting his impact on the mathematical research community. His citation index stands at 105, with a strong publication record in SCI, ESCI, and Scopus-indexed journals. To date, he has authored 9 SCI papers, 3 ESCI papers, and 2 Scopus papers, with 15 additional papers under review.

Legacy and Future Contributions 🌟

With a commitment to academic excellence, Dr. Abdalluh continues to inspire future generations of mathematicians. His work in special functions, symbolic methods, and q-degenerate polynomials will serve as a foundation for upcoming mathematical advancements. His leadership in research and academia ensures his lasting impact on the global mathematical community.

πŸ“šPublications Top Notes

πŸ† Highly Cited Works

1️⃣ On 2-variable q-Hermite polynomials
πŸ“– Aims Math 6 (8), 8705-8727
✍️ Authors: N. Raza, M. Fadel, K.S. Nisar, M. Zakarya
πŸ”’ Citations: 20
πŸ“… Year: 2021

2️⃣ Two-variable q-Laguerre polynomials from the context of quasi-monomiality
πŸ“– Journal of Mathematical Analysis and Applications 535 (2), 128126
✍️ Authors: J. Cao, N. Raza, M. Fadel
πŸ”’ Citations: 17
πŸ“… Year: 2024

3️⃣ A Review of q-Difference Equations for Al-Salam–Carlitz Polynomials and Applications to U(n + 1) Type Generating Functions and Ramanujan’s Integrals
πŸ“– Mathematics 11 (7), 1655
✍️ Authors: J. Cao, J.Y. Huang, M. Fadel, S. Arjika
πŸ”’ Citations: 12
πŸ“… Year: 2023

4️⃣ Characterizing q-Bessel functions of the first kind with their new summation and integral representations
πŸ“– Mathematics 11 (18, special issue), 3831
✍️ Authors: M. Fadel, N. Raza, W.S. Du
πŸ”’ Citations: 10
πŸ“… Year: 2023

5️⃣ On a family of q-modified-Laguerre-Appell polynomials
πŸ“– Arab Journal of Basic and Applied Sciences 31 (1), 165-176
✍️ Authors: M. Fadel, A. Muhyi
πŸ”’ Citations: 9
πŸ“… Year: 2024

6️⃣ Two-Variable q-Hermite-Based Appell Polynomials and Their Applications
πŸ“– Mathematics 12 (9), 1358
✍️ Authors: M. Fadel, M.S. Alatawi, W.A. Khan
πŸ”’ Citations: 7
πŸ“… Year: 2024

7️⃣ On q-Hermite Polynomials with Three Variables: Recurrence Relations, q-Differential Equations, Summation and Operational Formulas
πŸ“– Symmetry 16 (4, special issue), 385
✍️ Author: M. Fadel
πŸ”’ Citations: 6
πŸ“… Year: 2024

8️⃣ Monomiality principle for q-polynomials: Introduction and Applications
πŸ“– Math. Mech. Complex Syst
✍️ Authors: N. Raza, M. Fadel, S. Khan, C. Cesarano, R. William
πŸ”’ Citations: 6
πŸ“… Year: 2024

9️⃣ A note on q-truncated exponential polynomials
πŸ“– KARPATSΚΉKI MATEMATICNI PUBLÌKACII 16 (1), 128-147
✍️ Authors: N. Raza, M. Fadel, C. Cesarano
πŸ”’ Citations: 5
πŸ“… Year: 2024

πŸ”Ÿ Bivariate q-Laguerre–Appell polynomials and their applications
πŸ“– Applied Mathematics in Science and Engineering 32 (1), 2412545
✍️ Authors: M. Fadel, N. Raza, A. Al-Gonah, U. Duran
πŸ”’ Citations: 4
πŸ“… Year: 2024

 

Sarika | Mathematics | Best Researcher Award

Assist. Prof. Dr. Sarika | Mathematics | Best Researcher AwardΒ 

Assist. Prof. Dr. Sarika, Netaji Subhas University of Technology, Delhi ,India.

Dr. Sarika Goyal is an Assistant Professor at Netaji Subhas University of Technology, Delhi, with a distinguished career in mathematical research and education. She holds a Ph.D. from IIT Delhi and has expertise in Partial Differential Equations and Variational Methods. A recipient of prestigious awards like the Bharat Vikas Award (2017), she has delivered invited talks at global conferences and mentored Ph.D. scholars. Her contributions significantly impact mathematical sciences and academia. πŸŽ“πŸ“š

Profile

Scopus Profile

Google Scholar Profile

πŸŽ“ Early Academic Pursuits

Dr. Sarika Goyal, born on August 8, 1987, exhibited a strong inclination toward mathematics from an early age. She pursued her Bachelor of Arts in Mathematics (Hons.) from Lakshmi Bai College, University of Delhi, securing an impressive 83.88%. Continuing her academic excellence, she completed her Master of Arts in Mathematics from Hindu College, University of Delhi, with a score of 76.62%. Her M.Phil. dissertation, under the guidance of Dr. Ratikanta Panda, focused on “Weierstrass Theorem with Weights”, securing 75.4%.

πŸ’Ό Professional Endeavors

Dr. Goyal’s teaching career began in June 2016 at Bennett University, Greater Noida, where she served as an Assistant Professor until June 2021. She was later promoted to Associate Professor in July 2021 and continued in this role until February 2023. Currently, she is an Assistant Professor at Netaji Subash University of Technology (NSUT), Dwarka, since March 2023.

πŸ”¬ Contributions and Research Focus

Dr. Goyal has made significant contributions in the field of Mathematical Analysis, specializing in Partial Differential Equations and Non-Local Elliptic Equations. Her Ph.D. research, supervised by Dr. K. Sreenadh, focused on “Elliptic Equations and Non-Local Elliptic Equations with Sign-Changing Nonlinearities”. She also completed a Post-Doctoral Fellowship at IIT Delhi (2015-2016), further refining her expertise in Variational Methods.

🌍 Impact and Influence

Beyond research, Dr. Goyal has mentored several Ph.D. students, shaping the next generation of mathematicians. Notable students under her guidance include Anu Rani, Tarun Sharma, Diksha Saini, Abhishek, and Vishal, who have pursued successful careers in academia and research. She has also chaired academic sessions at prestigious conferences such as the Ramanujan Mathematical Society Conference (IIT Guwahati, 2023) and the SIAM Conference on Analysis of Partial Differential Equations (California, 2019).

πŸ† Awards and Recognitions

Dr. Goyal has received numerous awards, including:

  • Bharat Vikas Award (2017)
  • 8th Venus International Research Award (2022)
  • NBHM Post-Doctoral Fellowship (2015)
  • CSIR-UGC Junior Research Fellowship (2009)
  • Selected among the top 100 Women Mathematicians worldwide for ICM-2014 (Seoul, South Korea)
  • International Travel Grants from DST-SERB & NBHM to present research in USA, Brazil, Italy, and Abu Dhabi

πŸ’ͺ Legacy and Future Contributions

Dr. Goyal continues to make a lasting impact in the field of mathematics through her research, teaching, and mentorship. Her dedication to advancing knowledge in Elliptic Equations, Variational Methods, and Partial Differential Equations ensures that she remains at the forefront of mathematical sciences. She aims to further expand her research collaborations, contribute to policy-making in mathematical education, and inspire young scholars to explore the vast realms of mathematics.

Publications Top Notes

πŸ“˜ Existence of multiple solutions of p-fractional Laplace operator with sign-changing weight function
πŸ“… 2015 | πŸ”’ 69 citations
✍️ S Goyal, K Sreenadh
πŸ“– Advances in Nonlinear Analysis 4 (1), 37-58

πŸ“˜ Nehari manifold for non-local elliptic operator with concave–convex nonlinearities and sign-changing weight functions
πŸ“… 2015 | πŸ”’ 62 citations
✍️ S Goyal, K Sreenadh
πŸ“– Proceedings-Mathematical Sciences 125, 545-558

πŸ“˜ On the Fučik spectrum of non-local elliptic operators
πŸ“… 2014 | πŸ”’ 24 citations
✍️ S Goyal, K Sreenadh
πŸ“– Nonlinear Differential Equations and Applications NoDEA 21, 567-588

πŸ“˜ n-Kirchhoff type equations with exponential nonlinearities
πŸ“… 2016 | πŸ”’ 22 citations
✍️ S Goyal, PK Mishra, K Sreenadh
πŸ“– Revista de la Real Academia de Ciencias Exactas, FΓ­sicas y Naturales. Serie …

πŸ“˜ Quasilinear SchrΓΆdinger Equations With Stein-Weiss Type Convolution and Critical Exponential Nonlinearity
πŸ“… 2024 | πŸ”’ 12 citations
✍️ R Biswas, S Goyal, K Sreenadh
πŸ“– The Journal of Geometric Analysis 34 (2), 54

πŸ“˜ Polyharmonic Kirchhoff type equations with singular exponential nonlinearities
πŸ“… 2016 | πŸ”’ 12 citations
✍️ PK Mishra, S Goyal, K Sreenadh
πŸ“– arXiv preprint arXiv:1604.00155

πŸ“˜ The Nehari manifold approach for N-Laplace equation with singular and exponential nonlinearities in ℝN
πŸ“… 2015 | πŸ”’ 12 citations
✍️ S Goyal, K Sreenadh
πŸ“– Communications in Contemporary Mathematics 17 (03), 1450011

πŸ“˜ Multiplicity results of fractional p-Laplace equations with sign-changing and singular nonlinearity
πŸ“… 2017 | πŸ”’ 10 citations
✍️ S Goyal
πŸ“– Complex Variables and Elliptic Equations 62 (2), 158-183

πŸ“˜ Fractional Hardy-Sobolev operator with sign-changing and singular nonlinearity
πŸ“… 2020 | πŸ”’ 9 citations
✍️ S Goyal
πŸ“– Applicable Analysis 99 (16), 2892-2916

πŸ“˜ Multiplicity results for Kirchhoff modified SchrΓΆdinger equations with Stein-Weiss type critical nonlinearity
πŸ“… 2023 | πŸ”’ 7 citations
✍️ R Biswas, S Goyal, K Sreenadh
πŸ“– Differential and Integral Equations 36 (3/4), 247-288

πŸ“˜ Multiple solutions for biharmonic critical Choquard equation involving sign-changing weight functions
πŸ“… 2022 | πŸ”’ 7 citations
✍️ A Rani, S Goyal

πŸ“˜ On the eigenvalues and Fučik spectrum of p-fractional Hardy-Sobolev operator with weight function
πŸ“… 2018 | πŸ”’ 7 citations
✍️ S Goyal
πŸ“– Applicable Analysis 97 (4), 633-658

πŸ“˜ Fractional elliptic equations with sign-changing and singular nonlinearity
πŸ“… 2016 | πŸ”’ 7 citations
✍️ S Goyal, K Sreenadh
πŸ“– Electronic Journal of Differential Equations 2016 (145), 1-23

πŸ“˜ The Nehari manifold for a quasilinear polyharmonic equation with exponential nonlinearities and a sign-changing weight function
πŸ“… 2015 | πŸ”’ Not provided
✍️ S Goyal, K Sreenadh
πŸ“– Advances in Nonlinear Analysis 4 (3), 177-200