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

 

Manjunath Malligawad | Mathematics | Best Researcher Award

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Dr. Manjunath Malligawad | Mathematics | Best Researcher Award

Dr. Manjunath Malligawad,SSIT tumkuru, India.

Dr. Manjunatha H Malligawad is a passionate Mathematics educator and researcher 🧮 with a strong academic background. He holds an M.Sc. in Mathematics and a B.Ed., showcasing his commitment to both learning and teaching. With over three years of experience, he has mentored students for JEE and NEET 🎯. His participation in national conferences 📚 and the launch of his YouTube channel, “GENIUS MATHS CLASSES” 🎥 highlight his dedication to knowledge dissemination. Proficient in problem-solving and programming, he actively contributes to education and research.

🌟 Professional Profile

🎓 Early Academic Pursuits

Dr. Manjunatha H. Malligawad’s academic journey began with a strong foundation in mathematics and science. Excelling in his early education, he achieved an impressive 86.08% in SSLC (2011) at Govt High School, Ramanakoppa, followed by 60.33% in PUC (2013) at P.C. Jabin Science College, Hubballi. His passion for mathematics led him to pursue a B.Sc (PCM) in 2016 with 80.50%, followed by an M.Sc in Mathematics (2018) with 77.37% from S.K. Arts College & H.S.K Science Institute, Hubballi. To further his expertise in teaching, he completed a B.Ed (2020) with 72.20% from Shri Kumareshwar Education Trust B.Ed College, Savadatti.

💼 Professional Endeavors

Dr. Malligawad embarked on his teaching career with one year at M.A.S.C Degree College, Haunsabhavi, Haveri and two years at Bendre PU Science College, Dharwad. His expertise extends to coaching students for JEE and NEET examinations, showcasing his ability to mentor and guide students towards academic excellence. He also founded a YouTube channel, “Genius Maths Classes,” to expand his reach in mathematics education.

🔬 Contributions and Research Focus On Mathematics 

Dr. Malligawad has actively engaged in research and academic discussions. He participated in national conferences, including the “Differential Geometry and Relativity” seminar at Deen Dayal Upadhyaya University, Gorakhpur, and the “Recent Study in Applications of Mathematics” at J.T. College, Gadag. His research interests lie in applied mathematics, particularly in differential geometry and its real-world applications.

🌍 Impact and Influence

Through his teaching and mentorship, Dr. Malligawad has influenced numerous students in their mathematical pursuits. His ability to simplify complex mathematical concepts and his experience in competitive exam coaching have made him a sought-after educator in the field. His problem-solving abilities and programming skills further enhance his contributions to mathematics education.

🏅 Awards and Honors 

Dr. Malligawad has been an active participant in academic and extracurricular activities. His involvement in National Service Scheme (NSS) reflects his commitment to community service alongside his academic pursuits. His contributions to mathematics education through research conferences and his YouTube platform have been well acknowledged.

📚 Academic Citations

Dr. Malligawad’s academic insights and participation in national-level discussions have earned him recognition among peers. His dedication to mathematics and commitment to student success have led to citations in research discussions and appreciation in educational circles.

🚀 Legacy and Future Contributions

With a strong foundation in mathematics education and a passion for research, Dr. Malligawad aims to continue his journey as an academician. He envisions expanding his reach through innovative teaching methodologies, research in applied mathematics, and digital learning platforms. His long-term goal is to contribute to the academic community by fostering mathematical understanding and inspiring future generations of scholars.

Publications Top Notes

Finslerian Wormhole Solution in the Framework of Modified Gravity

Shadow Analysis and Light Deflection in Charged Finslerian Kiselev Black Holes under Spherical Accretion

Geodesics of Finsler Hayward Black Hole Surrounded by Quintessence

Atanu Manna | Mathematical | Best Researcher Award

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Assist. Prof. Dr. Atanu Manna | Mathematical Analysis | Best Researcher Award

Assist. Prof. Dr. Atanu Manna, Indian Institute of Carpet Technology, India.

Dr. Atanu Manna is an Assistant Professor of Mathematics at the Indian Institute of Carpet Technology, Bhadohi, India. 🎓 He earned his Ph.D. from IIT Kharagpur (2014) and specializes in Geometry of Banach Spaces, Operator Theory, and Inequalities. ✍️ With numerous publications in top-tier journals, his research enhances mathematical frameworks in sequence spaces and numerical radius inequalities. 📚 Dr. Manna actively participates in international conferences and symposiums, contributing significantly to the field of pure and applied mathematics. 🔬

🌟 Professional Profile

🎓 Early Academic Pursuits

Assist. Prof. Dr. Atanu Manna began his academic journey with a Bachelor of Science (B.Sc.) from Vidyasagar University, Midnapore (2006), securing First Class First. He then pursued his Master of Science (M.Sc.) in Mathematics from Jadavpur University, Kolkata (2008), achieving First Class Fifth with a specialization in Pure Mathematics. His academic excellence led him to the Indian Institute of Technology, Kharagpur, where he earned his Doctor of Philosophy (Ph.D.) in 2014. His doctoral research focused on “Modular sequence spaces defined by using de la Valle-Poussin Means, Generalized Means, and Difference operator”.

💼 Professional Endeavors

Currently serving as an Assistant Professor in Mathematics at the Indian Institute of Carpet Technology, Bhadohi, India, Dr. Manna plays a pivotal role in academic and research advancements. His expertise extends to subjects like Calculus, Linear Algebra, Functional Analysis, Applied Statistics, and Complex Analysis. His teaching philosophy integrates theoretical concepts with real-world applications, fostering a deep understanding among students.

🔬 Contributions and Research Focus On Mathematical 

Dr. Atanu Manna, an esteemed Assistant Professor at the Indian Institute of Carpet Technology, specializes in Functional Analysis, Operator Theory, and Inequalities. His pioneering work on Orlicz and Musielak-Orlicz spaces 📐, Hardy-type inequalities 📊, and Numerical Radius bounds 🔢 has led to groundbreaking improvements in mathematical inequalities. His contributions include refining Hardy, Copson, and Rellich inequalities, extending operator theory in Banach spaces, and developing new geometric properties of modular spaces. With numerous high-impact journal publications 📖, he actively participates in international conferences 🌍, sharing insights on mathematical analysis. His research bridges pure and applied mathematics, influencing theoretical advancements and practical applications in mathematical sciences. 🎓

🌍 Impact and Influence

Dr. Manna’s scholarly works have made a significant impact on Mathematical Analysis and Inequalities. His research outputs include numerous peer-reviewed journal articles and conference proceedings, enhancing the field’s understanding of functional spaces and operator inequalities. His international collaborations and participation in prestigious conferences underscore his influence in the global mathematical community.

🏅 Awards and Honors 

Dr. Manna has been recognized for his outstanding contributions to mathematics through multiple conference invitations, research fellowships, and academic distinctions. His First Class First rank in B.Sc. and prestigious conference presentations highlight his academic excellence.

📚 Academic Citations

With a growing presence in the academic world, Dr. Manna has authored and co-authored over 20 research papers in esteemed journals such as Linear Algebra and its Applications, Glasgow Mathematical Journal, Revista de la Real Academia de Ciencias, and Journal of Mathematical Analysis and Applications. His Google Scholar profile reflects his research impact, with a steadily increasing citation count, validating the significance of his work.

🚀 Legacy and Future Contributions

Dr. Manna’s research continues to shape the field of Mathematical Inequalities and Operator Theory. His future endeavors include further advancements in Banach space geometry and numerical radius inequalities. With a strong dedication to teaching and research, he aims to mentor aspiring mathematicians, leaving a lasting impact on the academic landscape.

Publications Top Notes

📖 Numerical radius and Berezin number inequality
📌 Journal of Mathematical Analysis and Applications (2023) – Cited by: 7 🔢

📖 Difference sequence spaces derived by using generalized means
📌 Journal of the Egyptian Mathematical Society (2015) – Cited by: 6 📊

📖 Some mth-order Difference Sequence Spaces of Generalized Means and Compact Operators
📌 Annals of Functional Analysis (2015) – Cited by: 6 🧮

📖 On the improvements of Hardy and Copson inequalities
📌 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (2023) – Cited by: 3 📈

📖 Norm inequalities involving upper bounds of certain matrix operators in Orlicz-type sequence spaces
📌 The Journal of Analysis (2019) – Cited by: 3 🔣

📖 Factorized enhancement of Copson’s inequality
📌 Tamkang Journal of Mathematics (2018) – Cited by: 3 🏆

📖 Norm inequalities involving upper bounds for operators in Orlicz-Taylor sequence spaces
📌 4th International Conference in Mathematics and Computing (2018) – Cited by: 2 🔢

📖 Some geometric properties of Musielak-Orlicz sequence spaces generated by de la Vallee-Poussin means
📌 Mathematical Inequalities & Applications (2015) – Cited by: 2 📏

📖 On improvements of the Hardy, Copson and Rellich inequalities
📌 arXiv preprint (2023) – Cited by: 1 🔬

📖 Orlicz extension of Numerical radius inequalities
📌 arXiv preprint (2022) – Cited by: 1 📚

📖 Bigeometric Cesàro difference sequence spaces and Hermite interpolation
📌 Asian-European Journal of Mathematics (2020) – Cited by: 1 ✏️

📖 New Hardy-type integral inequalities
📌 Acta Sci. Math. (Szeged) (2020) – Cited by: 1 🎯

📖 Property (k-beta) of Musielak-Orlicz and Musielak-Orlicz-Cesaro spaces
📌 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (2019) – Cited by: 1 📐

📖 Some geometric properties of generalized Cesaro-Musielak-Orlicz spaces equipped with the Amemiya norm
📌 Acta Mathematica Vietnamica (2016) – Cited by: 1 📉

📖 Some paranormed difference sequence spaces derived by using Generalized means
📌 Kyungpook Mathematical Journal (2015) – Cited by: 1 📘

📖 On (K-NUC)-property in Musielak-Orlicz spaces defined by de la Vallee-Poussin means and some countably modulared spaces
📌 DCDIS, Series A: Mathematical Analysis (2014) – Cited by: 1 🔢

📖 Some Geometric Properties of Generalized Cesàro–Musielak–Orlicz Sequence Spaces
📌 Mathematics and Computing Conference (Haldia, India) – Cited by: N/A 🏅