A Novel Formulation of the Fractional Derivative with the Order α≥ 0 and without the Singular Kernel

A Novel Formulation of the Fractional Derivative with the Order α≥ 0 and without the Singular Kernel

HK Jassim, MA Hussein – Mathematics, 2022

A new definition of fractional derivative (NFD) with order α≥ 0, is developed in this paper. The new derivative has a smooth kernel that takes on two different representations for the temporal and spatial variables. The advantage of the …