Deadline Date: 31 December 2026
Fractional calculus has grown into a field with many papers over the last decade and can be applied across physics, mathematical physics, the sciences, engineering, and many other fields. The fractional calculus attraction is due to the diversity of fractional operators. Many operators exist in fractional calculus, such as the Caputo derivative, Riemann-Liouville derivative, Conformable derivative, Caputo-Fabrizio derivative, Atangana-Baleanu derivative, and many other operators. In mathematics and physics literature, fractional operators can be used in modeling diffusion equations with reaction and without reaction terms, modeling electrical circuits, modeling fluid models, and finding solutions to fractional differential problems. Nowadays, many types of fractional differential equations exist, and methods to solve them have opened problems in fractional calculus. We can cite homotopy methods, Fourier and Laplace transform methods, predictor-corrector methods, implicit and explicit numerical schemes, etc. Therefore, this project will serve as an arena for modeling real-world problems using fractional operators. The second interest will be to propose the existence and uniqueness of fractional differential equations and the numerical and analytical methods for solving fractional differential equations. It is recommended to propose a method for solving fractional fluid models. Furthermore justification of the introduction of the fractional operator in modeling fluid will be more appreciated in the present collection. One of the main applications of fractional operators in mathematical physics is the modeling of diffusion processes. As mentioned in the literature, many diffusion processes exist as sub-diffusion, super-diffusion, hyper-diffusion, and ballistic diffusion. All the previously cited diffusion processes correspond to specific values of the fractional operators.
Analytical methods for fractional differential equations, fluid differential models, etc.
Numerical methods for fractional differential equations, fluid differential models, etc.
Modeling the chaotic systems with fractional operators.
Solution for the fractional diffusion equations with and without reaction terms.
Optimal control and stability analysis. Modeling fluids model using integer and fractional operators.
Applications of the fractional calculus in physics and mathematical physics.
Existence and uniqueness of the solution of the fractional differential equations.
Editorial board
