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We extend our previous description of the superscaling phenomenon ininclusive electron scattering within the Coherent Density Fluctuation Model(CDFM). This model is a natural extension to finite nuclei of the RelativisticFermi Gas Model (RFG) within which the scaling variable $\psi^{\prime}$ wasintroduced. In this work we propose a new modified CDFM approach to calculatethe total, longitudinal and transverse scaling functions built up from thehadronic tensor and the longitudinal and transverse response functions in theRFG. We test the superscaling behavior of the new CDFM scaling functions bycalculating the cross sections of electron scattering (in QE- and$\Delta$-region for nuclei with $12\leq A\leq208$ at different energies andangles) and comparing to available experimental data. The new modified CDFMapproach is extended to calculate charge-changing neutrino and antineutrinoscattering on $^{12}$C at 1 GeV incident energy.

Longitudinal and Transverse Scaling Functions within the Coherent Density Fluctuation Model