Professor at Mohamed Boudiaf University of M’sila, Algeria
Dr. Bilal Basti is a dedicated mathematician with a Ph.D. in Pure and Applied Mathematics, specializing in nonlinear partial and fractional differential equations. He holds a prominent position as a Lecturer at Ziane Achour University of Djelfa, Algeria, where he teaches and supervises both undergraduate and graduate students. His research focuses on theoretical studies, numerical analysis, and mathematical modeling, particularly in areas like image processing, biology, and physics. Dr. Basti is known for his methodological rigor, employing advanced mathematical techniques such as functional analysis and operator theory. He is proficient in various software tools including Matlab and Scientific WorkPlace, and has published extensively in international journals. His contributions to the field are marked by innovative approaches to solving complex mathematical problems, making him a respected figure in the academic community.
Professional Profiles
Education
Dr. Bilal Basti, an accomplished mathematician, holds a Ph.D. in Pure and Applied Mathematics from Mohamed Boudiaf University of M’sila, Algeria. His doctoral research focused on various aspects of nonlinear differential equations, including the existence and uniqueness of solutions for fractional and nonlinear models. Dr. Basti’s academic journey has been marked by a commitment to advancing mathematical theory and its practical applications. He has contributed significantly to the field through his research on mathematical physics equations, operator theory, and functional analysis. With a robust publication record and active participation in international conferences, Dr. Basti continues to enrich the academic community with his expertise and dedication to mathematical sciences.
Professional Experience
Dr. Bilal Basti is a dedicated mathematician with a robust academic career spanning various roles at Ziane Achour University of Djelfa, Algeria. Currently serving as a Lecturer Class A since July 2023, he teaches and mentors students across Bachelor’s and Master’s degree programs in the Faculty of Exact Sciences and Computer Science. Previously, he held the position of Lecturer Class B from November 2020 to July 2023 at the same institution, where he continued to impart knowledge in mathematical disciplines. His career began as a Temporary Assistant Teacher as Ph.D. from 2015 to 2019 at Mohamed Boudiaf University of M’sila, Algeria, where he taught Mathematics and Bio-Statistics. Additionally, he has experience as a Middle School Mathematics Teacher. Dr. Basti actively supervises Master’s theses and co-supervises Ph.D. students, contributing significantly to research in areas such as mathematical physics equations and normed vector spaces.
Research Interest
Dr. Bilal Basti’s research interests lie at the intersection of pure and applied mathematics, with a focus on mathematical analysis and its applications in various fields. He is particularly interested in studying nonlinear partial differential equations (PDEs), fractional differential equations (FDEs), and integral equations. His work explores the theoretical aspects and numerical solutions of mathematical models relevant to image processing, biology, and other scientific disciplines. Dr. Basti’s research also encompasses the analysis of self-similar solutions, traveling waves, and free boundary problems in mathematical physics. He actively contributes to advancements in mathematical modeling for understanding complex phenomena such as infectious diseases and COVID-19 dynamics using fractional calculus and mathematical physics equations. His expertise extends to stability analysis, existence theorems, and the analytical study of differential equations in functional analysis and PDEs.
Award and Honors
Dr. Bilal Basti has garnered recognition for his contributions to mathematics and research. He has received several awards and honors, including commendations for his exceptional doctoral thesis and academic achievements. His work on nonlinear partial differential equations and fractional differential equations has been acknowledged for its significant impact on the field of mathematical analysis. Dr. Basti’s contributions to the stability analysis and existence of solutions for various mathematical models have earned him accolades within the academic community. He continues to be recognized for his scholarly endeavors and is esteemed for his research on self-similar solutions and their applications in mathematical physics and image processing.
Research Skills
Dr. Bilal Basti possesses advanced research skills in pure and applied mathematics, specializing in nonlinear partial differential equations and fractional differential equations. His expertise includes theoretical studies, numerical analysis, and modeling of complex mathematical phenomena. Dr. Basti is adept in conducting rigorous mathematical proofs and analysis, employing techniques such as functional analysis, operator theory, and Sobolev spaces. He has extensive experience in mathematical modeling for various applications, including image processing, biology, and physics. His research skills also encompass computational mathematics, utilizing software tools like Matlab, Scientific WorkPlace, and programming languages such as C++, Python, and Pascal. Dr. Basti’s proficiency in LaTeX facilitates his publication of high-quality research papers. His methodological rigor and innovative approach to solving mathematical problems underscore his reputation as a skilled mathematician and researcher.
Publications
- Fractional Mathematical Model for Exploring the Influence of Infectious Diseases on Population with Chronic Conditions
- Authors: Basti, B.; Chennaf, B.; Boubekeur, M.A.; Bounouiga, S.
- Year: 2024
- Citations: 0
- Cauchy problem for Jordan-Moore-Gibson-Thompson equations of nonlinear acoustics with fractional operators
- Authors: Djemiat, R.; Basti, B.; Benhamidouche, N.
- Year: 2023
- Citations: 1
- THEORETICAL STUDIES ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A MULTIDIMENSIONAL NONLINEAR TIME AND SPACE-FRACTIONAL REACTION-DIFFUSION/WAVE EQUATION
- Authors: Basti, B.; Djemiat, R.; Benhamidouche, N.
- Year: 2023
- Citations: 1
- Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional order
- Authors: Djemiat, R.; Basti, B.; Benhamidouche, N.
- Year: 2022
- Citations: 4
- Existence Study of Solutions for a System of n Nonlinear Fractional Differential Equations with Integral Conditions
- Authors: Basti, B.; Arioua, Y.
- Year: 2022
- Citations: 3
- Existence Of Traveling Wave Solutions For A Free Boundary Problem Of Higher-Order Space-Fractional Wave Equations
- Authors: Djemiat, R.; Basti, B.; Benhamidouche, N.
- Year: 2022
- Citations: 3
- Stability analysis and existence of solutions for a modified sird model of covid-19 with fractional derivatives
- Authors: Basti, B.; Hammami, N.; Berrabah, I.; Djemiat, R.; Benhamidouche, N.
- Year: 2021
- Citations: 15
- Existence results for nonlinear katugampola fractional differential equations with an integral condition
- Authors: Basti, B.; Arioua, Y.; Benhamidouch, N.
- Year: 2020
- Citations: 9
- Global existence and blow-up of generalized self-similar solutions to nonlinear degenerate diffusion equation not in divergence form
- Authors: Basti, B.; Benhamidouche, N.
- Year: 2020
- Citations: 8
- Existence results of self-similar solutions to the caputo-type’s space-fractional heat equation
- Authors: Basti, B.; Benhamidouche, N.
- Year: 2020
- Citations: 10