# Mathematical Evaluation and Dynamic Transmissions of a Cervical Cancer Model Using a Fractional Operator

## Authors

• Rakhi Singh Department of Mathematics, Rajiv Gandhi Technical University, Bhopal, Madhya Pradesh, India
• Ali Akgül Department of Mathematics, Art and Science Faculty, Siirt University, Turkey
• Jyoti Mishra Department of Mathematics, Gyan Ganga Institute of Technology and Sciences, Jabalpur, India
• Vijay Kumar Gupta Department of Mathematics, Rajiv Gandhi Technical University, Bhopal, Madhya Pradesh, India

## Keywords:

caputo-fabrizio fractional operator, cervical cancer model, laplace transform method, fixed point theory

## Abstract

This scientific research investigates the fractional-order compartmental model of cervical cancer. The human papillomavirus (HPV) is responsible for the development of cervical cancer. The Caputo-Fabrizio fractional operator, which includes a section for treatment with antiretroviral drugs, is employed to examine this worldwide phenomenon. The mathematical model of cervical cancer that has been proposed recently is an extension of the integer-order model. The fractional derivative technique is a novel approach for these types of biological models. This paper employs fixed point theory to provide requirements for the existence, uniqueness, and stability of the fractional order cervical cancer model, utilizing the Caputo- Fabrizio operator. We have initially found an approximation solution to a proposed model via the iterative Laplace transform method, which is easily accessible. This approach integrates the Laplace transform technique with a reliable, novel iterative method. We evaluated parameters indicating the advancement of the illness and presented the numeric simulations. The observed outcomes indicate that a fractional factor has a crucial effect on controlling cervical cancer.

2024-07-16

## How to Cite

1.
Singh R, Akgül A, Mishra J, Gupta VK. Mathematical Evaluation and Dynamic Transmissions of a Cervical Cancer Model Using a Fractional Operator. Contemp. Math. [Internet]. 2024 Jul. 16 [cited 2024 Aug. 9];5(3):2646-67. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/4539

Research Article