ON AN EXTENSION OF THE OPERATOR WITH MITTAG-LEFFLER KERNEL

Dealing with nonsingular kernels is not an easy task due to their restrictions at origin. In this short paper, we suggest an extension of the fractional operator involving the Mittag-Leffler kernel which admits integrable singular kernel at the origin. New solutions of the related differential equations were reported together with some perspectives from the modelling viewpoint.

Automated summary

This short paper suggests an extension of the fractional operator involving the Mittag-Leffler kernel to deal with non-singular kernels, which allows for integrable singular kernels at the origin. New solutions to related differential equations are reported, along with some perspectives from a modeling viewpoint.