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.
Hussain, K., Al-Jawari, N., Mazeel, A. (2021). New Fractional Operators Theory and Applications. International Journal of Nonlinear Analysis and Applications, 12(Special Issue), 825-845. doi: 10.22075/ijnaa.2021.5462
MLA
Khudair Obeis Hussain; Naseif J. Al-Jawari; Abdul Khaleq O. Mazeel. "New Fractional Operators Theory and Applications". International Journal of Nonlinear Analysis and Applications, 12, Special Issue, 2021, 825-845. doi: 10.22075/ijnaa.2021.5462
HARVARD
Hussain, K., Al-Jawari, N., Mazeel, A. (2021). 'New Fractional Operators Theory and Applications', International Journal of Nonlinear Analysis and Applications, 12(Special Issue), pp. 825-845. doi: 10.22075/ijnaa.2021.5462
VANCOUVER
Hussain, K., Al-Jawari, N., Mazeel, A. New Fractional Operators Theory and Applications. International Journal of Nonlinear Analysis and Applications, 2021; 12(Special Issue): 825-845. doi: 10.22075/ijnaa.2021.5462
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