Solution of a cancer treatment model of a drug targeting treatment through nanotechnology using Adomian decomposition Laplace transform method

In this work, we introduce a fractional-order cancer treatment mathematical model of a drug targeting treatment through nanotechnology. We present an approximate solution of suggested model using Caputo fractional derivative.To get the answer, we apply the Adomian decomposition Laplace transform solution. The approach is capable of solving both linear as well as non-linear FDEs. The proposed approach is contrasted with other known classical approaches, such as the residual power series approach and the homotopy perturbation method. To prove a significance of method towards the cancer treatment model, we prove the convergence criteria. Several graphical and numerical results are discussed at different fractional orders. Through this mathematical analysis we can provide important aspects of cancer treatment.