University of Tunis El Manar - Tunisia
Author Profile
SCOPUS
Early academic pursuits 🎓
Lamine Mbarki's academic journey began with a strong foundation in mathematics, earning his baccalaureate diploma in 2006. his passion for the subject led him to pursue a diplomate in mathematics and computer sciences from the faculty of sciences of monastir, tunisia, in 2008. he furthered his expertise with a master's degree in mathematics in 2010, followed by a master's of research in harmonic analysis in 2012. his research, supervised by mohamed sifi and dominique bakry, explored markovian operators and hypergroup properties, setting the stage for his ph.d. work. he completed his ph.d. at the faculty of sciences of tunis, focusing on the p(x)-laplacian operator and its associated operators, a significant contribution to the field of differential equations.
Professional endeavors 👨🏫
Currently an assistant professor in the mathematics department at the faculty of sciences of tunis, lamine mbarki has been dedicated to academia, imparting knowledge and advancing mathematical research. his teaching and mentorship have influenced many students, particularly in areas such as partial differential equations, fractional calculus, and stochastic analysis. his institutional affiliation with the university of tunis el manar reflects his commitment to academic excellence and research development.
Contributions and research focus 🔬
Dr. Mbarki's research focuses on the mathematical study of partial differential equations, fractional calculus, probability, and dynamical systems. his significant contributions include his work on the hypergroup property and the study of the p(x)-laplacian operator. this research has advanced the understanding of complex mathematical structures and their applications in various scientific fields. his interdisciplinary approach bridges theoretical mathematics with practical applications, Stochastic and probability particularly in stochastic processes and dynamic systems.
Accolades and recognition 🏅
Throughout his academic career, dr. mbarki has received recognition for his pioneering research in mathematics. his collaborations with esteemed supervisors such as dominique bakry and mounir bezzarga have cemented his reputation as a notable researcher in harmonic analysis and operator theory. his work continues to be Stochastic and probability cited and utilized by researchers across the globe, particularly in the areas of partial differential equations and probability theory.
Impact and influence 🌍
Dr. Mbarki’s research has had a wide-reaching impact, particularly in advancing the understanding of complex mathematical systems. his work on fractional calculus and stochastic analysis has applications in physics, engineering, and economics, influencing how mathematical models are employed in real-world scenarios. as a Stochastic and probability teacher and researcher, his contributions have shaped the careers of many students and young researchers, fostering a new generation of mathematical minds.
Legacy and future contributions 🔮
As a dedicated mathematician, dr. mbarki's legacy will be defined by his innovative work in partial differential equations and stochastic processes. his research continues to evolve, and he is expected to contribute further to the fields of fractional calculus and dynamical systems. his future work will likely continue to impact both theoretical mathematics and its applied fields, ensuring that his contributions remain influential for years to come.
Notable Publications
- Title: "A degenerate Kirchhoff-type problem involving variable s(·)-order fractional p(·)-Laplacian with weights"
Authors: Allaoui, M., Hamdani, M.K., Mbarki, L.
Journal: Periodica Mathematica Hungarica, 2024, 88(2), pp. 396–411
- Title: "Existence and Multiplicity of Solutions for a Class of Kirchhoff–Boussinesq-Type Problems with Logarithmic Growth"
Authors: Carlos, R.D., Mbarki, L., Yang, S.
Journal: Mediterranean Journal of Mathematics, 2024, 21(3), 108
- Title: "Existence of Multiple Solution for a Singular p(x)-Laplacian Problem"
Authors: Ghanmi, A., Mbarki, L., Choudhuri, D.
Journal: Complex Analysis and Operator Theory, 2024, 18(2), 26
- Title: "Unified approach to nonlinear Caputo fractional derivative boundary value problems: extending the upper and lower solutions method"
Authors: Talib, I., Batool, A., Sousa, J.V.D.C., Lamine, M.
Journal: Journal of Mathematics and Computer Science, 2024, 37(1), pp. 20–31
- Title: "Solutions for a Nonlocal Elliptic System with General Growth"
Authors: Mbarki, L., Tavares, L.S., Sousa, J.V.C.
Journal: Complex Analysis and Operator Theory, 2023, 17(8), 134