Güldem Yıldız | Mathematics | Best Paper Award

Published on by Best Achievements

Best Paper Award

Güldem Yıldız
Nigde Omer Halisdemir University

Güldem Yıldız
Affiliation Nigde Omer Halisdemir University
Country Turkey
Article Title Solving the Gardner Equation Through the Sardar Sub-Equation Method and a Hybrid Artificial Neural Network Model
Scopus ID 55735455100
Article Type Research Article
Article Views 192
Reference Count 40
Award Category Best Paper Award
Event Global Best Achievements Awards
ORCID 0000-0002-8120-3525

Güldem Yıldız of Nigde Omer Halisdemir University, Turkey, is associated with the 2026 research article Solving the Gardner Equation Through the Sardar Sub-Equation Method and a Hybrid Artificial Neural Network Model, published by MDPI. The study concerns the Mathematics subject area and combines an analytical sub-equation technique with a hybrid artificial neural network framework. The supplied publication record reports 192 article views and 40 references. The research is presented in connection with the Best Paper Award category of the Global Best Achievements Awards.

Abstract

This article presents the academic recognition of Güldem Yıldız for research on solving the Gardner equation through the Sardar Sub-Equation Method and a hybrid artificial neural network model. The work addresses an analytical and computational treatment of a nonlinear mathematical equation, combining a sub-equation approach with neural-network-based modeling. Such a hybrid framework connects symbolic solution techniques with data-driven approximation, offering a structured basis for examining nonlinear wave equations and related mathematical behavior. The research was published by MDPI in 2026 and is associated with the Mathematics subject area. This page summarizes the researcher, scientific context, methodology, contributions, and recognition academically.

Keywords

Keywords: Gardner equation; Sardar Sub-Equation Method; artificial neural networks; hybrid computational model; nonlinear equations; mathematical physics; analytical solutions; Mathematics.

Introduction to the Research Topic

The Gardner equation is a nonlinear partial differential equation studied in mathematical physics. Analytical methods can provide explicit solution forms, while computational learning approaches can approximate relationships. The reported study combines the Sardar Sub-Equation Method with a hybrid artificial neural network model, linking analytical and computational perspectives in nonlinear research. [1]

Research Profile

Güldem Yıldız is affiliated with Nigde Omer Halisdemir University, Turkey, and is represented in Scopus by Author ID 55735455100 and in ORCID by 0000-0002-8120-3525. The supplied research record identifies Mathematics as the subject area, with six documents, seventeen citations, and an h-index of one at the time of this profile. [2] [3]

Scientific Background

The Gardner equation extends nonlinear wave models by incorporating nonlinear effects, making its solution structure relevant to applied mathematics and mathematical physics. Sub-equation methods seek tractable analytical forms, whereas artificial neural networks provide computational approximation. Combining these perspectives can support comparison between explicit solutions and learned representations for nonlinear research. [1]

Methodology

The approach uses the Sardar Sub-Equation Method to construct analytical solutions of the Gardner equation, followed by a hybrid artificial neural network model computationally. The methodology connects symbolic derivation with numerical or learning-based approximation. The article title establishes this methodological combination, while implementation should be verified in the published article. [1]

Key Findings

The study addresses the Gardner equation through a sub-equation solution method and a hybrid artificial neural network model. This combination indicates an emphasis on complementary analytical and computational treatment rather than one technique. Solution families, numerical results, training procedures, and error measures should be taken directly from the article carefully. [1]

Scientific Contributions

The contribution described by the title is the integration of the Sardar Sub-Equation Method with a hybrid artificial neural network framework for the Gardner equation. This approach connects established analytical solution techniques with computational learning. The work provides context for comparing symbolic formulations and model-based approximations in nonlinear mathematical analysis. [1]

Conclusion

The recognized research focuses on a hybrid treatment of the Gardner equation that combines an analytical sub-equation method with artificial neural network modeling. Its publication in 2026 places the work within current mathematical research. Further assessment of solution accuracy, generalization, and comparative performance requires consultation of the complete published study. [1]

References

    1. MDPI. (2026). Solving the Gardner Equation Through the Sardar Sub-Equation Method and a Hybrid Artificial Neural Network Model. Symmetry.
      https://doi.org/10.3390/sym18091479
    2. Elsevier. (n.d.). Scopus author details: Güldem Yıldız, Author ID 55735455100. Scopus.
      https://www.scopus.com/authid/detail.uri?authorId=55735455100
    3. ORCID. (n.d.). Güldem Yıldız, ORCID iD 0000-0002-8120-3525. ORCID.
      https://orcid.org/0000-0002-8120-3525

Mohammed Fadel | Mathematics | Best Researcher Award

Published on by Best Achievements

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

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

🌟 Professional Profile

Early Academic Pursuits 🎓

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 💼

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 🏆

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 🔖

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.

📚Publications Top Notes

🏆 Highly Cited Works

1️⃣ On 2-variable q-Hermite polynomials
📖 Aims Math 6 (8), 8705-8727
✍️ Authors: N. Raza, M. Fadel, K.S. Nisar, M. Zakarya
🔢 Citations: 20
📅 Year: 2021

2️⃣ Two-variable q-Laguerre polynomials from the context of quasi-monomiality
📖 Journal of Mathematical Analysis and Applications 535 (2), 128126
✍️ Authors: J. Cao, N. Raza, M. Fadel
🔢 Citations: 17
📅 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
📖 Mathematics 11 (7), 1655
✍️ Authors: J. Cao, J.Y. Huang, M. Fadel, S. Arjika
🔢 Citations: 12
📅 Year: 2023

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

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

6️⃣ Two-Variable q-Hermite-Based Appell Polynomials and Their Applications
📖 Mathematics 12 (9), 1358
✍️ Authors: M. Fadel, M.S. Alatawi, W.A. Khan
🔢 Citations: 7
📅 Year: 2024

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

8️⃣ Monomiality principle for q-polynomials: Introduction and Applications
📖 Math. Mech. Complex Syst
✍️ Authors: N. Raza, M. Fadel, S. Khan, C. Cesarano, R. William
🔢 Citations: 6
📅 Year: 2024

9️⃣ A note on q-truncated exponential polynomials
📖 KARPATSʹKI MATEMATICNI PUBLÌKACII 16 (1), 128-147
✍️ Authors: N. Raza, M. Fadel, C. Cesarano
🔢 Citations: 5
📅 Year: 2024

🔟 Bivariate q-Laguerre–Appell polynomials and their applications
📖 Applied Mathematics in Science and Engineering 32 (1), 2412545
✍️ Authors: M. Fadel, N. Raza, A. Al-Gonah, U. Duran
🔢 Citations: 4
📅 Year: 2024

 

Bo You | Mathematics | Best Researcher Award

Published on by Best Achievements

Prof. Bo You | Mathematics | Best Researcher Award

Prof. Bo You, Xi’an Jiaotong University, China.

Professor. Bo You is a Full Professor at Xi’an Jiaotong University since 2022. He earned his Ph.D. in Mathematics from Lanzhou University in 2012. His research interests include Nonlinear Functional Analysis, Nonlinear PDEs, and Infinite Dimensional Dynamical Systems. Professor You has secured multiple NSFC grants and organized various international workshops. He actively teaches courses on Mathematical Physics, Real Analysis, and Functional Analysis, while also supervising PhD and MSc students in their research.

Professional Profile

SCOPUS ID

🎓 Education

Bo You completed his PhD in Mathematics from Lanzhou University (2007–2012), laying the foundation for his distinguished academic career. Prior to that, he earned his Bachelor of Science degree from Lanzhou University in 2007. His academic journey has focused on advancing the field of Nonlinear Functional Analysis and Partial Differential Equations, culminating in a rich body of research that has contributed significantly to these areas.

🔬Research Contributions  On Mathematics

Professor. Bo You’s research has significantly advanced the fields of nonlinear functional analysis and partial differential equations (PDEs). His work on infinite-dimensional dissipative dynamical systems and the controllability and stabilization of PDEs has provided valuable insights for both theoretical and applied mathematics. Notably, his research on global Carleman estimates and continuous data assimilation has made a lasting impact on the mathematical community, influencing the study of complex systems in various scientific disciplines.

💼Professional Background 

Professor. Bo You has made significant contributions to Mathematics through his roles as a Full Professor at Xi’an Jiaotong University since 2022. Previously, he served as an Associate Professor and Assistant Professor at the same institution. He also held a Visiting Scholar position at Florida State University. Bo’s expertise spans Nonlinear Functional Analysis, Partial Differential Equations, and Dynamical Systems, supported by various research grants and notable conference talks worldwide. 🧑‍🏫

📚 Teaching Contributions

  • Carleman Estimates and Its Applications, XJTU (2023-2024)
  • Equations of Mathematical Physics, XJTU (2023-2024)
  • Real Analysis, XJTU (2022–2024)
  • Nonlinear Analysis, XJTU (2018–2022)

💰 Research Grants

  • NSFC (01/2019–12/2022)
  • NSBRP (01/2018–12/2019)
  • NSFC (01/2015–12/2017)

🛠️ Activities Organized

  • Workshops on Nonlinear Analysis and PDEs, XJTU-TENCENT (08/2023)
  • Summer School on Nonlinear Functional Analysis, XJTU-TENCENT (07/2023)
  • Workshops on Infinite Dimensional Dynamical Systems, XJTU-ZOOM (07/2020)

🏅 Impact And Honor 🏅

Professor. Bo You has significantly contributed to the fields of Nonlinear Functional Analysis and Partial Differential Equations, advancing theoretical research and practical applications. His groundbreaking work has earned him prestigious research grants and recognition globally. With numerous key conference talks and workshops organized, his influence extends across academia and industry, shaping the future of mathematics. His leadership in guiding PhD and MSc students has earned him immense respect and honor in the academic community. 🌍📚

Conclusion

Professor Bo You has made significant contributions to mathematics and nonlinear analysis. His work on partial differential equations and dynamical systems has garnered global recognition. Through his leadership in research, teaching, and supervising future scholars, he continues to inspire and advance the field with dedication and excellence. 🧑‍🏫

📚Publication Top Notes

📝 Global Attractor of the Euler-Bernoulli Equations with a Localized Nonlinear Damping

Li, F., You, B.
Journal: Discrete and Continuous Dynamical Systems, 2024
Access: Open Access

🌊 Continuous Data Assimilation for the Three-Dimensional Planetary Geostrophic Equations of Large-Scale Ocean Circulation

You, B.
Journal: Zeitschrift fur Angewandte Mathematik und Physik, 2024

🔄 A Discrete Data Assimilation Algorithm for the Three-Dimensional Planetary Geostrophic Equations of Large-Scale Ocean Circulation

You, B.
Journal: Journal of Dynamics and Differential Equations, 2024: 0

💉 Optimal Distributed Control for a Cahn-Hilliard Type Phase Field System Related to Tumor Growth

You, B.
Journal: Mathematical Control and Related Fields, 2024

🧬 Optimal Control of a Phase Field Tumor Growth Model with Chemotaxis and Active Transport

You, B.
Journal: Mathematical Control and Related Fields, 2024
Citations: 0