Kumar, PushpendraErturk, Vedat SuatYusuf, AbdullahiKumar, Sunil2024-01-212024-08-132024-01-212024-08-132021-06-19960077910.1016/j.chaos.2021.111123http://10.2.3.109/handle/32116/3360An emerging treatment tool which uses replication-competent viruses to dissipate cancers without causing deficit to normal tissues, named as oncolytic virotherapy, is discussed in the article. We analysed a fractional delay dynamical model on the oncolytic virotherapy compositing viral lytic cycle and virus-specific cytotoxic T lymphocyte (CTL) response. We used a well known Caputo fractional derivative to analyse the structure of the given dynamical model. Using the literature of fixed-point theory, the given time-delay model is specified to have existence of a unique solution. We established different types of graphical simulations for the various values of R0 and R1. We observed a different behaviour of the given fractional model as compare to the integer order model. The given algorithm is smooth in use and reliable to apply on different delay dynamical models. � 2021 Elsevier Ltden-USCaputo fractional derivativeFixed point theoryFractional delay differential equationImmune responseMathematical modelOncolytic VirotherapyPredictor-Corrector schemeArticlehttps://linkinghub.elsevier.com/retrieve/pii/S096007792100477X