Submission Deadline: 30 April 2027 View: 56 Submit to Special Issue
Prof. Dr. Ndolane Sene
Email: ndolanesene@yahoo.fr
Affiliation: Department of Mathematics, Universite Cheikh Anta Diop de Dakar, Dakar Region, Senegal
Research Interests: modeling in fractional calculus and applications, numerical analysis, fractional electrical models
Prof. Dr. Mehmet Yavuz
Email: mehmetyavuz@erbakan.edu.tr
Affiliation: Department of Mathematics and Computer Sciences, Faculty of Science, Necmettin Erbakan University, Konya, Turkey
Research Interests: biomathematics, infectious disease and population dynamics, stochastic analysis, machine learning, neural network theory, fractional-order systems, bifurcation theory, optimal-adaptive controls and dynamical systems
Fractional calculus has many applications in real-world problems, notably in modeling epidemics, robotics, and physical systems. There exist many types of fractional operators, such as the derivative with a singular kernel, the Caputo derivative, and the Riemann-Liouville derivative. There also exist derivatives with a non-singular kernel, such as the Caputo-Fabrizio derivative and the Atangana-Baleanu derivative. All types of derivatives have advantages and disadvantages in modeling; the main objective now is to use them to model real-world problems. Finding solutions to describe dynamics in graphics is very difficult due to the system's complexity. There exist many numerical schemes, such as the Runge-Kutta method, the Adams-Bashforth method, the Euler and Implicit schemes, and many others. The main purpose of this special issue is to gather papers that propose fractional models and numerical schemes for studying the system's dynamics. The paper with computational numerical schemes and applications is highly recommended in the present special issue.
The following subjects can be proposed, but are not limited to the following points:
· Modeling with fractional order derivatives, the epidemic models, and their applications in computer sciences and engineering
· Proposing numerical schemes for solving the fractional diffusion equation with and without reaction terms
· Modeling and solving with numerical schemes the fluid and nanofluid dynamics with fractional order derivatives.
· Computational method in fractional modeling with singular and non-singular derivatives
· Stochastic modeling of epidemic models with and without a fractional derivative and their numerical discretization
· Modeling environmental models using a fractional order derivative and its applications in science and engineering
· Applications of fractional calculus in real-world problems with applications in computer sciences
Login
Register
Submit a Paper
Propose a Special lssue