Mumtaz Khan | Mathematics | Best Researcher Award

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Assoc. Prof. Dr. Mumtaz Khan | Mathematics | Best Researcher Award

Chuxiong Normal university | China

Assoc. Prof. Dr. Mumtaz Khan is a well-established researcher in applied mathematics and thermal–fluid sciences, with significant contributions to magnetohydrodynamics, nanofluid heat transfer, fractional calculus, and advanced numerical modeling. He has authored 37 scholarly documents, which have received 743 citations from 509 citing publications, demonstrating strong visibility and influence in the scientific community, with an h-index of 17. His research integrates fractional-order modeling, hybrid nanofluids, non-Newtonian fluid dynamics, porous media flow, and heat and mass transfer under complex physical effects such as magnetic fields, thermal radiation, slip conditions, and chemical reactions. He has published extensively in high-impact international journals, including Mathematical Methods in the Applied Sciences, Case Studies in Thermal Engineering, Ain Shams Engineering Journal, and ZAMM. His recent work also incorporates artificial neural networks and optimization techniques to enhance predictive accuracy in transport phenomena, contributing valuable theoretical and computational insights for engineering and energy-related applications.

 

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Featured Publications

Raziyeh Erfanifar | Mathematics | Research Excellence Award

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Dr. Raziyeh Erfanifar | Mathematics | Research Excellence Award

Shahid Beheshti University | Iran

Dr. Raziyeh Erfanifar is a researcher in applied mathematics and computational engineering whose work centers on high-order iterative methods, nonlinear equations, matrix and tensor computations, and their applications in control theory, signal processing, image processing, data mining, and fractional calculus. The research contributions emphasize the development of efficient, inversion-free, and high-convergence iterative algorithms for solving nonlinear systems, algebraic Riccati equations, nonlinear matrix and tensor equations, and computing Moore–Penrose and Drazin inverses. A significant portion of the work advances fixed-point theory, weight-splitting strategies, Newton-type schemes, and parametric multi-step methods, with rigorous convergence analysis and efficiency evaluation. These methods have been successfully applied to problems in electrical engineering, vibration and control systems, differential equations, tensor equations with Einstein products, data whitening, and numerical simulation. The scholarly output includes 36 peer-reviewed journal articles published in leading journals such as Journal of the Franklin Institute, Journal of Complexity, Computational and Applied Mathematics, Circuits, Systems, and Signal Processing, Applied Numerical Mathematics, and Engineering Computations. According to Google Scholar metrics, this body of work has received 274 citations, with an h-index of 11 and an i10-index of 11, reflecting sustained impact and strong visibility in numerical analysis, computational mathematics, and engineering applications.

 

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Featured Publications

Several efficient iterative algorithms for solving nonlinear tensor equation
X + AT*N X−1*N A = I with Einstein product
– Computational and Applied Mathematics, 2024

Splitting iteration methods to solve non-symmetric algebraic Riccati matrix equation
YAY − YB − CY + D = 0
– Numerical Algorithms, 2023

Guanghui Lu | Mathematics | Best Researcher Award

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Prof. Guanghui Lu | Mathematics | Best Researcher Award

Northwest Normal University | China

Author Profile

Scopus

Orcid

Early Academic Pursuits 🎓

Dr. Guanghui Lu embarked on his academic journey with a Bachelor’s degree in Mathematics and Applied Mathematics from Lanzhou City University (2008-2012). He then pursued a Master’s degree in Fundamental Mathematics at Xinjiang University (2012-2015), refining his expertise in mathematical theories. His academic pursuits culminated in a Ph.D. in Applied Mathematics from Northwest Normal University (2015-2018), where he delved into advanced mathematical models and computational techniques.

Professional Endeavors 🏛️

Since joining Northwest Normal University, Dr. Lu has demonstrated unwavering commitment to research and teaching. He began as a lecturer in the School of Mathematics and Statistics (2018-2020) and later became an Associate Professor (2021-present). His role involves mentoring students, conducting groundbreaking research, and contributing to the academic community through extensive collaborations.

Contributions and Research Focus 🔬

Dr. Lu’s research primarily revolves around mathematical analysis, operator theory, and Morrey spaces. He has significantly contributed to the study of integral operators, commutators, and fractional calculus on various mathematical structures. His work has explored bilinear singular integral operators, Calderón-Zygmund operators, and fractional Morrey spaces, which are crucial in modern mathematical analysis and its applications in physics and engineering.

His ongoing research projects include:
📌 National Natural Science Foundation of China (NSFC) – Youth Science Fund Project (2023-2025): Investigating the properties of Littlewood-Paley operators in maximal function spaces (30 million CNY).
📌 NSFC Regional Science Fund Project (2024-2027): Studying core operators on nonhomogeneous metric measure spaces (27 million CNY).

Accolades and Recognition 🏆

Dr. Lu has published numerous influential papers in prestigious mathematical journals, including:
✅ Bulletin des Sciences Mathématiques (2023, 2025)
✅ Mathematische Nachrichten (2024)
✅ Annals of Functional Analysis (2024)
✅ Nagoya Mathematical Journal (2022)

As the sole first author and corresponding author in all his papers, he has cemented his position as a leading researcher in his field.

Impact and Influence 🌍

Dr. Lu’s research has significantly influenced mathematical analysis, particularly in operator theory and function spaces. His findings contribute to solving complex problems in applied mathematics, with implications in physics, data analysis, and computational sciences. His mentorship of students and collaboration with fellow researchers further amplifies his academic impact.

Legacy and Future Contributions 🚀

With ongoing research projects and a steady stream of high-impact publications, Dr. Guanghui Lu is poised to make lasting contributions to mathematical sciences. His future work will likely explore deeper aspects of functional analysis and integral operators, reinforcing the role of mathematics in scientific advancements. Dr. Lu’s dedication to research, teaching, and knowledge dissemination ensures his continued prominence in the field of mathematics.

Publications

📄 Bilinear singular integral operators with generalized kernels and their commutators on product of (grand) generalized fractional (weighted) Morrey spaces
Author(s): G. Lu (Guanghui Lu), M. Wang (Miaomiao Wang), S. Tao (Shuangping Tao), R. Liu (Ronghui Liu)
Journal: Bulletin des Sciences Mathématiques
Year: 2025

📄 Bilinear Θ-type generalized fractional integral and its commutator on product of generalized fractional weighted Morrey spaces
Author(s): G. Lu (Guanghui Lu), Z. Zhang (Zheng Zhang)
Journal: Bulletin des Sciences Mathématiques
Year: 2024

📄 Θ-type fractional Marcinkiewicz integral operators and their commutators on some spaces over RD-spaces
 Author(s): G. Lu (Guanghui Lu), W. Tao (Wenwen Tao)
 Journal: Journal of Pseudo-Differential Operators and Applications
 Year: 2024

📄 Fractional type Marcinkiewicz integral and its commutator on grand variable Herz-Morrey spaces
 Author(s): X. Chen (Xijuan Chen), G. Lu (Guanghui Lu), W. Tao (Wenwen Tao)
 Journal: Journal of Pseudo-Differential Operators and Applications
 Year: 2024