New Fractional Operators Theory and Applications

	New Fractional Operators Theory and Applications
International Journal of Nonlinear Analysis and Applications
دوره 12، Special Issue، اسفند 2021، صفحه 825-845 اصل مقاله (468.52 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5462
نویسندگان
Khudair Obeis Hussain^* ؛ Naseif J. Al-Jawari؛ Abdul Khaleq O. Mazeel
Department of Mathematics, College of Science, AL-Mustansiriyah University, Baghdad, Iraq
چکیده
In this article, we present a new fractional integral with a non-singular kernel and by using Laplace transform, we derived the corresponding fractional derivative. By composition between our fractional integration operator with classical Caputo and Riemann-Liouville fractional operators, we establish a new fractional derivative which is interpolated between the generalized fractional derivatives in a sense Riemann-Liouville and Caputo-Fabrizio with non-singular kernels. Additionally, we introduce the fundamental properties of these fractional operators with applications and simulations. Finally, a model of Coronavirus (COVID-19) transmission is presented as an application.
کلیدواژه‌ها
Fractional integral؛ fractional derivative؛ non-singular kernels؛ Mittag-Leffler function؛ Coronavirus (COVID-19)
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