Fractional Calculus and Its Applications: Symmetry and Topics
Symposium
Fractional Calculus and Its Applications: Symmetry and Topics
Fractional calculus has a reputable history of more than 325 years butstill has tremendous open problems from both theoretical and applied viewpoints. At that time, it was not more famous and introduced among all theapplied sciences. The novelty of the said calculus is that non-integer order differentiation and integration have global characteristics. Therefore, it describes the history and nonlocal distribution properties and has an extradegree of freedom and hence explains natural phenomena better. Consequently, to make this area applicable as a popular tool to the group of sciences and engineering with additional dimensions of fractional derivatives and integrals, to understand nature, the subject of fractional calculus is acceptable andvaluable. Since the eighteenth century, this field has only been associatedwith mathematicians, but in recent decades, it has been addressed in manyapplied fields of engineering, science, and economics. Furthermore, manyproblems based on continuous data are not explained by the integer-order derivative and have been analyzed by the arbitrary order derivative, so fractional calculus is superior to integer order calculus. Ordinary derivatives are thus a part of fractional differential and integral calculus this partincludes the history of fractional calculus. This sympsium will focus on various problems of integer order have been investigatedin different research articles which only describe the discrete behaviors ofthe given quantity and cannot deal with non-integer orders. Therefore, to study the continuous spectrum of problems for the dynamics of different problems, fractional calculus has been introduced in the form of differential, integral equations and the the implementation of symmetric or asymmetric process. Because of the applicability of fractional differential and integral equations,several scholars are very interested in this field to study and exploredifferent mathematical models.
The sympsium included the following topics but are not limited to:
• Theoretical aspects of fractional differential equations.
• Numerical methods and computational techniques for solving fractional differential equations.
• The new analysis of symmetric numericalschemes
• Fractional differential equations inphysics, biology, finance, and engineering.
• Theoretical advancements in theapplication of fractional differential equations in machine learning.
• Existence, uniqueness and stability results for solutions of fractional differential equations.
• Fractional differential equations inoptimization and machine learning.
• Solving differential equations via artificial neural networks.
• Fractional order differential, integral equations and systems
• Nonlinear dynamics and complex systems
• Fractal and fractional calculus
Keywords: fractional differential equations, mathematical modeling, fixed point theory, fractional operator, numerical methods, symmetry, complex dynamical systems, new numerical and analytic methods, integral transforms, fractional calculus with AI applications
Organisers
Dr. Mati ur Rahman
Affiliation: School of Mathematical Sciences, Jiangsu University, Jiangsu, Zhenjiang, 212013, China
E-Mail: matimaths@ujs.edu.cn
Interests: Fractional Calculus, Fractional Differential Equations, Computational Mathematics,
Artificial Intelligence, Mathematical Modelling
Prof. Dr. Dumitru Baleanu
Affiliation: Department of computer science and mathematics, Lebanese American University, Beirut, Lebanon
E-Mail: dumitru.baleanu@lau.edu.lb
Interests: Fractional Calculus, Fractional Differential Equations, Mathematical Modelling, Numerical Modeling Finite-Difference Schemes
Prof. Dr. Fuzhang Wang
Affiliation: Instituteof Date Science and Engineering, Xuzhou University of Technology, Xuzhou,221018, China
E-Mail: wangfuzhang1984@163.com
Interests: Numerical Analysis, Modeling and Simulation, Computational Simulation, Mathematical Computing, Scientific Computation, Numerical Methods
Deadline for manuscript submissions: November 30 2024