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math.CA2018
On new types of fractional operators and applications
Mohamed Jleli, Bessem Samet
We introduce two kinds of fractional integral operators; the one is defined via the exponential-integral function and the…
math.CA2018
A derivative concept with respect to an arbitrary kernel and applications to fractional calculus
Mohamed Jleli, Mokhtar Kirane, Bessem Samet
In this paper, we propose a new concept of derivative with respect to an arbitrary kernel-function. Several properties related to this new operator, like inversion rules, integrati…