EPJ Plus Focus Point - Modelling Complex Real-World Problems with Fractal and New Trends of Fractional Differentiation
- Published on 14 August 2018
Differential operators with non-singular kernels have been suggested recently and have raised interest in many fields of science, technology and engineering. They have being recognized to have brought news tools in applied mathematics and other applied sciences, as they are able to capture and observe a more complex physical behavior of nature. One of their unique properties is crossover behavior; in particular, their ability to capture Brownian motion, stochastic processes, anomalous diffusion and power-law dependency processes. This Focus Point on Modelling Complex Real-World Problems with Fractal and New Trends of Fractional Differentiation edited by A. Atangana, Z. Hammouch, G. Mophou and K. M. Owolabi in EPJ Plus aims at capturing current developments and initiatives of these new mathematical tools in modeling real-world problems. It focuses on new numerical and analytical methods for solving the complex real-world problems arising in physics. Several new results were presented and published in this Focus Point. In particular, a revolutionary paper has led to the extension of the field of non-local operators and their applications. The particular attention devoted to these new mathematical tools leaves no doubt on the fact that the future of modeling real-worl problems relies on these operators.