Here we follow the definition of sequential fractional derivative presented by Podlubny. Displaystyle ihbar frac partial psi mathbf r tpartial tD_alpha left-hbar 2Delta rightfrac alpha 2psi mathbf r tVmathbf r tpsi mathbf r t. When we divide a whole into equal parts each part is a fraction of the whole.
Fractional equation definition is - an equation containing the unknown in the denominator of one or more terms as ax bx 1 c.
The nonlinear fractional partial differential equations are converted to a nonlinear ordinary differential equation via a traveling wave transformation in the sense of conformable fractional derivatives. Displaystyle ihbar frac partial psi mathbf r tpartial tD_alpha left-hbar 2Delta rightfrac alpha 2psi mathbf r tVmathbf r tpsi mathbf r t. Fraction of a whole. Fractions represent equal parts of a whole or a collection.