"Existence and Uniqueness of Solutions for Mixed Immunotherapy and Chem" by Virender Singh Panwar and Pattani Samsudeen Sheik Uduman

Progress in Fractional Differentiation & Applications

Article Title

Existence and Uniqueness of Solutions for Mixed Immunotherapy and Chemotherapy Cancer Treatment Fractional Model with Caputo-Fabrizio Derivative

Authors

Virender Singh Panwar, Department of Mathematics and Actuarial Science, B.S.Abdur Rahman Crescent Institute of Science and Technology, India-600048Follow
Pattani Samsudeen Sheik Uduman, Department of Mathematics and Actuarial Science, B.S.Abdur Rahman Crescent Institute of Science and Technology, India-600048Follow

Author Country (or Countries)

India

Abstract

In this article, we aim to analyze the Mixed Immunotherapy and Chemotherapy cancer treatment mathematical model to strengthen cancer research. Firstly, the model is integrated into the Caputo-Fabrizio fractional derivative with a non-singular kernel in order to overcome the limitations of the conventional Riemann-Liouville and Caputo fractional derivatives. After that, the presented mathematical model is examined for the existence of system solutions in detail by applying the fixed-point postulate. We ascertain the conditions under which the uniqueness of this system of solutions can be obtained.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/080204

Recommended Citation

Singh Panwar, Virender and Samsudeen Sheik Uduman, Pattani (2022) "Existence and Uniqueness of Solutions for Mixed Immunotherapy and Chemotherapy Cancer Treatment Fractional Model with Caputo-Fabrizio Derivative," Progress in Fractional Differentiation & Applications: Vol. 8: Iss. 2, Article 4.
DOI: http://dx.doi.org/10.18576/pfda/080204
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol8/iss2/4

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