Dr, Yasuj University of Medical Sciences, Iran
Dr. Hossein Hassani is a researcher and lecturer in Applied Mathematics and Numerical Analysis at Yasouj University of Medical Sciences, Iran. With a Ph.D. from Shahrekord University, he specializes in fractional calculus, optimal control problems, and biomathematics. His post-doctoral research focuses on nonlinear fractional models and their applications in engineering and medical sciences. Dr. Hassani’s expertise includes solving fractional differential equations, optimization techniques for disease models, and the use of neural networks in modeling. He has extensive teaching experience in mathematics, algorithms, and numerical computation. His work aims to bridge mathematical theory with practical applications in healthcare and engineering. 📚💻📊🔬
Publication Profile
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Academic Background 📚🎓
Dr. Hossein Hassani holds a comprehensive academic background in Applied Mathematics and Numerical Analysis. He completed his Ph.D. at Shahrekord University, Iran, in 2017, with a thesis on solving variable-order fractional differential equations using generalized polynomials. His M.Sc. and B.Sc. degrees were also in Applied Mathematics from the University of Sistan and Baluchestan. Dr. Hassani is currently pursuing a post-doctoral fellowship at the International College of Engineering, focusing on nonlinear fractional models and their applications in engineering and medical sciences. His research interests span fractional calculus, optimization methods, and biomathematics. 🔬💡
Academic Work Experience 🎓💼
Dr. Hossein Hassani has extensive teaching experience in various institutions across Iran. Since 2013, he has served as a lecturer at Yasouj University of Medical Sciences in the School of Health and Paramedical Sciences, and at Shahrekord University in the Faculty of Engineering and Faculty of Mathematical Sciences. He has also taught at Yasouj University’s Faculty of Engineering and Faculty of Science, as well as at Islamic Azad University, Yasouj Branch. His academic roles have focused on applied mathematics, numerical analysis, differential equations, and optimization techniques, enriching the academic environment with his knowledge and expertise. 📘🧑🏫
Teaching Expertise 📚👨🏫
Dr. Hossein Hassani has a rich teaching portfolio covering a wide range of mathematical and computational subjects. He has taught General Mathematics, Calculus, and Differential Equations, equipping students with fundamental mathematical knowledge. His expertise extends to Numerical Computation, Numerical Analysis, and the Numerical Solution of Ordinary Differential Equations, where he emphasizes problem-solving techniques. Additionally, Dr. Hassani has delivered courses on Modeling and Evaluation of Computer Systems, Advanced Algorithms, and Simulation, blending theoretical knowledge with practical applications. His courses foster analytical thinking and computational skills among students, contributing significantly to their academic development. 🔢💻📊
Research Areas 🔬📐
Dr. Hossein Hassani’s research spans several advanced topics in mathematics and its applications. His primary focus includes Optimal Control Problems, where he investigates methods for optimizing systems under certain constraints. He also explores Variable Order Fractional Differential Equations, Partial Differential Equations, and Orthogonal Polynomials, contributing to both theoretical and practical advancements. His work in Fractional Calculus and the Operational Matrix provides valuable insights into complex mathematical models. Additionally, Dr. Hassani delves into Biomathematics, applying mathematical tools to biological systems, particularly in the context of disease modeling and optimization techniques. 🧮🔍🧬
Research Interests 🔍💡
Dr. Hossein Hassani’s research interests are centered around the numerical solution of variable order fractional partial differential equations using optimization techniques. He applies these methods to find the best approximate solutions for complex disease models, aiming for optimal fractional control solutions. Additionally, Dr. Hassani is exploring new classes of nonlinear variable order fractional equations and optimal control problems. He is introducing innovative basis functions to improve mathematical models and is also leveraging neural network methods for enhancing disease model predictions, furthering both mathematical and medical research. 🧮💻🧬
- Application of fractional shifted Vieta-Fibonacci polynomials in nonlinear reaction diffusion equation with variable order time-space fractional derivative
Year: 2025
- An optimal solution of lung cancer mathematical model using generalized Bessel polynomials
Cited by: 1
Year: 2024
- A new approach of generalized shifted Vieta-Fibonacci polynomials to solve nonlinear variable order time fractional Burgers-Huxley equations
Year: 2024
- An optimal solution for tumor growth model using generalized Bessel polynomials
Cited by: 1
Year: 2024
- Generalization of Bernoulli polynomials to find optimal solution of fractional hematopoietic stem cells model
Cited by: 2
Year: 2024
- A new approach based on the generalized Bessel polynomials to find optimal solution of hematopoietic stem cells model
Cited by: 1
Year: 2024
- Bessel Polynomials: Application in Finding Optimal Solution of Fractional COVID-19 Model Using Lagrange Multipliers
Cited by: 1
Year: 2024
- An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs
Cited by: 6
Year: 2024
- Optimization of the approximate solution of the fractional squeezing flow between two infinite plates
Year: 2024
- Generalized Bernoulli–Laguerre Polynomials: Applications in Coupled Nonlinear System of Variable-Order Fractional PDEs
Cited by: 13
Year: 2024
- Optimal solution of a fractional epidemic model of COVID-19.
Cited by: 1
Year: 2024
- Optimal solution of nonlinear 2D variable-order fractional optimal control problems using generalized Bessel polynomials
Cited by: 6
Year: 2024
- Generalized Lerch polynomials: application in fractional model of CAR-T cells for T-cell leukemia
Cited by: 3
Year: 2023
- An efficient algorithm for solving the fractional hepatitis b treatment model using generalized Bessel polynomial
Cited by: 7
Year: 2023
- A study on fractional tumor-immune interaction model related to lung cancer via generalized Laguerre polynomials
Cited by: 14
Year: 2023