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.

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.

Dr. Michael Ineh | Differential Equations | Best Researcher Award

Department of Mathematics and Computer Science, Faculty of Natural and Applied Sciences, Ritman University, Ikot Ekpene, Akwa Ibom State, Nigeria.

Dr. Michael P. Ineh (also known as Dr. Ineh, M.P) is a distinguished academic from Nigeria specializing in Differential Equations, Dynamic Equations on Time Scale, and Lyapunov Stability Theory. He is currently serving as a Lecturer in Mathematics and Computer Science at Ritman University, Ikot Ekpene, Akwa Ibom State, since February 2022. Dr. Ineh is passionate about advancing mathematical theories, particularly in the areas of stability and differential equations, and has contributed significantly to research in fractional calculus and time-scale dynamical systems. 🌍📚

Publication Profile

ORCID

Education

Dr. Ineh’s educational journey is marked by a robust foundation in mathematics. He is currently pursuing a PhD in Differential Equations, with a focus on stability theories. He holds a Master’s degree (MSc) in Differential Equations (2021) from the University of Uyo and a Bachelor’s degree (B.Sc) in Mathematics (2015) from Michael Okpara University, Umudike. Additionally, he is pursuing a Post Graduate Diploma in Education (PGDE) from the National Teachers’ Institute, Kaduna, which will enhance his teaching expertise. 🎓📖

Experience

Dr. Ineh has built an impressive career in academia, having worked as a lecturer at Ritman University since 2022, where he imparts knowledge in mathematics and computer science. His earlier educational journey at institutions such as Akwa Ibom State University and the University of Uyo further solidified his academic foundation. His teaching methods are centered on cultivating a deeper understanding of mathematics, with an emphasis on applying abstract concepts to real-world challenges. 🏫👨‍🏫

Awards and Honors

Dr. Ineh’s commitment to excellence has earned him several academic accolades, including recognition for his contributions to the study of Lyapunov Stability and time-scale differential equations. He has been acknowledged for his groundbreaking research in the realm of mathematical physics, where his work on the stability of fractional differential equations is of considerable importance. 🎖️🏆

Research Focus

Dr. Ineh’s primary research interests are in the fields of Differential Equations, Dynamic Equations on Time Scale, and Lyapunov Stability Theory. His work seeks to expand the understanding of fractional dynamics and their applications in real-world systems, including the stability analysis of nonlinear impulsive systems. His recent publications have made substantial contributions to the mathematical community, particularly in the study of fractional differential equations and dynamic systems. 📊🔬

Conclusion

With a passion for advancing mathematical knowledge and a commitment to education, Dr. Michael P. Ineh is a notable figure in the field of mathematics. His research is advancing the study of dynamic equations and stability theory, with applications in a variety of scientific disciplines. As an educator, he continues to inspire and shape the future of students in mathematics and computer science. 🌟📈

Publications

A Novel Lyapunov Asymptotic Eventual Stability Approach for Nonlinear Impulsive Caputo Fractional Differential Equations

Journal: AppliedMath

DOI: 10.3390/appliedmath4040085

Cited By: Link to citations 📜

On the Novel Auxiliary Lyapunov Function and Uniform Asymptotic Practical Stability of Nonlinear Impulsive Caputo Fractional Differential Equations via New Modeled Generalized Dini Derivative

Journal: African Journal of Mathematics and Statistics Studies

DOI: 10.52589/ajmss-vunaiobc

Cited By: Link to citations 📚

LYAPUNOV UNIFORM ASYMPTOTIC STABILITY OF CAPUTO FRACTIONAL DYNAMIC EQUATIONS ON TIME SCALE USING A GENERALIZED DERIVATIVE

Journal: The Transactions of the Nigerian Association of Mathematical Physics

DOI: 10.60787/TNAMP.V20.431

Cited By: Link to citations

A Novel Approach to Lyapunov Stability of Caputo Fractional Dynamic Equations on Time Scale Using a New Generalized Derivative

Journal: AIMS Mathematics

DOI: 10.3934/math.20241639

Cited By: Link to citations

Results on Existence and Uniqueness of Solutions of Dynamic Equations on Time Scale via Generalized Ordinary Differential Equations