Analytical Solutions of the Fractional Mathematical Model for the Concentration of Tumor Cells for Constant Killing Rate

Two generalized mathematical models with memory for the concentration of tumor cells have been analytically studied using cylindrical coordinate and integral transform methods. The generalization consists formulating two Caputo-time fractional derivative, that are suitable to highlight influence history evolution on present behavior cancer cells. time-oscillating has considered boundary domain. Analytical solutions differential equations determined Laplace respect time variable finite Hankel radial coordinate. positive roots transcendental equation Bessel function J0(r)=0, which needed in our study, subroutine rn=root(J0(r),r,(2n−1)π/4,(2n+3)π/4),n=1,2,… Mathcad 15 software. It is found effects stronger at small values time, t. This aspect highlighted graphical illustrations analyze Additionally, symmetric angle, its tend be zero large