Asif Usama | Mathematics | Innovative Research Award

Published on by Computer Scientists Awards

Innovative Research Award

Asif Usama
Government College University Faisalabad, Pakistan

Asif Usama
Affiliation Government College University Faisalabad
Country Pakistan
Scopus ID 57947937500
Documents 8
Citations 19
h-index 2
Subject Area Mathematics
Event Computer Scientists Awards
ORCID 0009-0008-0031-2545

Asif Usama is a mathematics researcher affiliated with Government College University Faisalabad, Pakistan. His documented research profile includes work in mathematical inequalities, fractional calculus, numerical analysis, and quadrature methods. The publication record supplied for this profile demonstrates recent research activity across specialist mathematical journals, with several contributions addressing inequalities and computational or fractional approaches. [1]

Abstract

The Innovative Research Award profile recognizes Asif Usama’s research activity in mathematics, particularly in mathematical inequalities, fractional analysis, and numerical methods. His recent publications examine classical inequalities through generalized and local fractional frameworks and investigate numerical approximations relevant to mathematical analysis. The supplied bibliographic record identifies five recent journal articles published between 2025 and 2026.

Keywords

Mathematics; fractional calculus; mathematical inequalities; numerical analysis; quadrature; fractal analysis; integral inequalities; computational mathematics.

Introduction

Research in modern mathematical analysis frequently connects theoretical inequalities with numerical computation and generalized calculus. Usama’s listed publications reflect this intersection, including studies of Weddle’s inequality, Maclaurin-type inequalities, Montgomery-Mercer identities, and fractal quadrature. These subjects provide mathematical tools for understanding approximation, error behavior, and integral relationships. [2]

Research Profile

The supplied Scopus indicators report 8 documents, 19 citations, and an h-index of 2. These metrics provide a quantitative snapshot of the research record but should be interpreted alongside publication quality, subject relevance, methodological contribution, and independent scholarly assessment. [1]

Research Contributions

  • Development and analysis of fractional and fractal formulations of established mathematical inequalities.
  • Investigation of numerical approximations and quadrature error in mathematical computation.
  • Application of integral identities and inequalities to problems in numerical analysis.

Publications

  • On Error Approximations of Fractal Lobatto–Legendre Quadrature Rule, Fractal and Fractional, 2026-08-13. [3]
  • Local Fractional Perspective on Weddle’s Inequality in Fractal Space, Fractal and Fractional, 2025.  [4]
  • Analysis of Maclaurin’s Inequality with Applications in Numerical Analysis, Journal of Mathematical Inequalities, 2025. [5]
  • New Montgomery-Mercer identity and associated integral inequalities with applications, Filomat, 2025.  [6]
  • Numerical and visual analysis of Maclaurin type inequalities in the setting of generalized fractional calculus and applications, Journal of Mathematics and Computer Science-JMCS, 2025.  [7]

Research Impact

The publication set indicates a coherent research direction spanning inequalities, generalized fractional calculus, fractal mathematical structures, and numerical approximation. The reported 19 citations and h-index of 2 provide measurable evidence of scholarly uptake within the indexed record. [1]

Award Suitability

The documented combination of recent peer-reviewed publications, mathematical methodology, and applications in numerical analysis provides a relevant basis for consideration for an Innovative Research Award. Final award decisions should additionally consider independent review, originality, contribution to the field, publication quality, and the applicable award criteria.

Conclusion

Asif Usama’s listed research demonstrates sustained engagement with contemporary mathematical analysis, particularly fractional inequalities and numerical methods. His recent publications establish a focused scholarly profile suitable for academic recognition while providing a documented foundation for further research and assessment.

References

  1. Elsevier. (n.d.). Scopus author details: Asif Usama, Author ID 57947937500. Scopus.
    https://www.scopus.com/authid/detail.uri?authorId=57947937500
  2. Asif Usama. Research publications concerning mathematical inequalities, fractional calculus, and numerical analysis.
  3. Fractal and Fractional. (2026). On Error Approximations of Fractal Lobatto–Legendre Quadrature Rule.
    https://doi.org/10.3390/fractalfract10080554
  4. Fractal and Fractional. (2025). Local Fractional Perspective on Weddle’s Inequality in Fractal Space.
    https://doi.org/10.3390/fractalfract9100662
  5. Journal of Mathematical Inequalities. (2025). Analysis of Maclaurin’s Inequality with Applications in Numerical Analysis.
    https://doi.org/10.7153/JMI-2025-19-86
  6. Filomat. (2025). New Montgomery-Mercer identity and associated integral inequalities with applications.
    https://doi.org/10.2298/FIL2514935A
  7. Journal of Mathematics and Computer Science-JMCS. (2025). Numerical and visual analysis of Maclaurin type inequalities in the setting of generalized fractional calculus and applications.
    https://doi.org/10.22436/JMCS.038.03.01

Dr. Jan Muhammad | Mathematics | Best Researcher Award

Published on by Computer Scientists Awards

Dr. Jan Muhammad | Mathematics | Best Researcher Award

Shanghai University | China

Dr. Jan Muhammad is a distinguished mathematician and postdoctoral researcher specializing in nonlinear partial differential equations (PDEs), soliton theory, and mathematical physics. His research primarily focuses on analytical and semi-analytical approaches for exploring nonlinear dynamical systems, fractional calculus, and optical wave propagation in applied mathematics and engineering contexts. With over 50 peer-reviewed publications in prestigious international journals, Dr. Muhammad has significantly contributed to advancing the theoretical and applied aspects of nonlinear PDEs and fractional models. His studies often explore the mathematical structures governing complex fluid mechanics, magnetohydrodynamics, and fractional optical systems, offering new insights into the behavior of nonlinear waves, stability, and multistability phenomena. His scholarly impact is reflected by 294 Scopus citations across 149 documents with an h-index of 11, showcasing the depth and reach of his contributions. His work is also widely recognized on Google Scholar, emphasizing his growing influence within the global mathematical community. Dr. Muhammad’s ongoing research bridges mathematical theory with real-world physical systems, demonstrating excellence in mathematical modeling, analytical methods, and interdisciplinary applications.

Profile

Scopus

Featured Publications

Muhammad, J., Fang, L., & Guo, Z. (2020). Global weak solutions to a class of compressible non-Newtonian fluids with vacuum. Mathematical Methods in the Applied Sciences, 43, 5234–5249.

Zhu, H., Fang, L., Muhammad, J., & Guo, Z. (2020). Global weak solutions to a Vlasov–Fokker–Planck/compressible non-Newtonian fluid system of equations. ZAMM, 100, e201900091.

Muhammad, J., Ali, Q., & Younas, U. (2024). Three component coupled fractional nonlinear Schrödinger equations: Diversity of exact optical solitonic structures. Modern Physics Letters B, 2450373.

Muhammad, J. (2024). On the global existence for a class of compressible non-Newtonian fluids with inhomogeneous boundary data. Russian Journal of Mathematical Physics, 31, 276–298.

Muhammad, J., Younas, U., & Nasreen, N. (2024). Multicomponent nonlinear fractional Schrödinger equation: Optical wave propagation in fiber optics. Partial Differential Equations in Applied Mathematics, 100805.

Prof. Danail Brezov | geometric algebras | Best Researcher Award

Published on by Computer Scientists Awards

Prof. Danail Brezov | geometric algebras | Best Researcher Award

Professor and chief of department, University of Architecture, Civil Engineering and Geodesy, Bulgaria

Dr. Danail Brezov is a distinguished professor and researcher in mathematics, specializing in applied mathematical physics, computational modeling, and artificial intelligence. With a strong academic foundation and a passion for interdisciplinary research, he has contributed significantly to areas such as geometric algebra, numerical simulations, and machine learning applications. His extensive teaching experience spans both university and high-school levels, making mathematics accessible to students of all backgrounds. Driven by curiosity and innovation, he collaborates on projects involving spatial analysis, traffic modeling, and AI-driven data imputation.

Publication Profile

🎓 Education:

Dr. Brezov holds a Ph.D. in Mathematics from the Bulgarian Academy of Sciences (2015), an M.Sc. in Mathematics from Sofia University (2007), and a B.Sc. in Physics from Sofia University (2004). His early education at the Foreign Language School “Romain Rolland” in Stara Zagora equipped him with multilingual proficiency, enhancing his international collaborations.

💼 Experience:

With years of experience in academia and research, Dr. Brezov has held positions at the University of Architecture, Civil Engineering and Geodesy, the National STEM Center, European Polytechnical University, and the British School of Sofia. He has taught a wide range of subjects, including linear algebra, calculus, probability, numerical methods, and machine learning. His expertise extends to applied mathematics in engineering, control systems, geodesy, and AI-driven analytics. His research contributions include developing predictive models, mathematical frameworks, and data-driven solutions for complex systems.

🏆 Awards and Honors:

Dr. Brezov has earned recognition for his outstanding research and teaching contributions. His role as a reviewer for esteemed journals such as AMS, Springer, and Elsevier highlights his academic influence. He has also played a pivotal role in organizing international conferences, research collaborations, and mathematical Olympiads, further cementing his reputation in the field.

🔬 Research Focus:

Dr. Brezov’s research interests span across mathematical physics, Clifford algebras, hypercomplex numbers, and Lie groups. His expertise in computational modeling and AI applications has led to breakthroughs in numerical simulations, cellular automata, and Monte Carlo algorithms. He actively contributes to projects in urban pollution modeling, health analytics, and machine learning-driven optimization. His interdisciplinary approach enables innovative solutions in both theoretical and applied mathematics.

📝 Conclusion:

Dr. Danail Brezov stands as a leading figure in mathematical sciences, blending theory with real-world applications. His contributions to academia, research, and interdisciplinary collaborations continue to shape the fields of mathematics, physics, and AI-driven problem-solving. With a relentless pursuit of knowledge and innovation, he remains dedicated to advancing mathematical research and education on a global scale.

📚 Publications:

The Tragic Downfall and Peculiar Revival of Quaternions. Mathematics, 13(4):637. [Cited by: Mathematics Community] 🔗

Using Rotations to Control Observable Relativistic Effects. Mathematics, 12(11):1676. [Cited by: Relativity Researchers] 🔗

Camera Motion Correction with PGA. Advances in Computer Graphics, Lecture Notes in Computer Science 14498, Springer, Cham. [Cited by: Computer Vision Experts] 🔗

Predicting the Rectal Temperature of Dairy Cows Using Infrared Thermography and Multimodal Machine Learning. Applied Sciences, 13(20):11416. [Cited by: Veterinary and AI Researchers] 🔗

Ensemble Learning Traffic Model for Sofia: A Case Study. Applied Sciences, 13(8):4678. [Cited by: Traffic Engineers] 🔗

Hypercomplex Algebras and Calculi Derived from Generalized Kinematics. Mathematical Methods in the Applied Sciences, 44(17). [Cited by: Mathematical Physicists] 🔗

Factorization and Generalized Roots of Dual Complex Matrices with Rodrigues’ Formula. Advances in Applied Clifford Algebras, 30(29). [Cited by: Algebra Researchers] 🔗

Projective View on Motion Groups I: Kinematics and Relativity. Advances in Applied Clifford Algebras, 29(1-18). [Cited by: Theoretical Physicists] 🔗

Optimization and Gimbal Lock Control via Shifted Decomposition of Rotations. Journal of Applied & Computational Mathematics, 7:410. [Cited by: Robotics Researchers] 🔗

From the Kinematics of Precession Motion to Generalized Rabi Cycles. Advances in Mathematical Physics, Article ID 9256320. [Cited by: Quantum Mechanics Scholars] 🔗