ArticleEuropean physical journal plus2021
A fractional model of cancer-immune system with Caputo and Caputo-Fabrizio derivatives.
Article in European physical journal plus, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Chaotic behavior of fractional HIV-1 model involving AIDS related cancer cells.Scientific reports · 2026Article
- Fuzzy and fractional analysis of cancer tumor dynamics with depression effects on chemotherapy.Scientific reports · 2025Article
- Fractional analysis of Benjamin-Bona-Mahony equation across natural transform iterative method: thermal engineering implementations.Scientific reports · 2025Article
- Exploring the combined effect of optimally controlled chemo-stem cell therapy on a fractional-order cancer model.PloS one · 2025Article
- New solutions of time-fractional cancer tumor models using modified He-Laplace algorithm.Heliyon · 2024Article
- Fractional epidemic model of coronavirus disease with vaccination and crowding effects.Scientific reports · 2024Article
- Mathematical modeling and control of lung cancer with IL2 cytokine and anti-PD-L1 inhibitor effects for low immune individuals.PloS one · 2024Article
- Fractional-Order Epidemic Model for Measles Infection.Scientifica · 2024Article
- Transition dynamics between a novel coinfection model of fractional-order for COVID-19 and tuberculosis via a treatment mechanism.European physical journal plus · 2023Article
- Chaos in Cancer Tumor Growth Model with Commensurate and Incommensurate Fractional-Order Derivatives.Computational and mathematical methods in medicine · 2022Article
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Authors and funding
2 authors.
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No grant is acknowledged in the PubMed record.
Abstract
Recently, it is important to try to understand diseases with large mortality rates worldwide, such as infectious disease and cancer. For this reason, mathematical modeling can be used to comment on diseases that adversely affect all people. So, this paper discuss mathematical model presented for the first time that examines the interaction between immune system and cancer cells by adding IL-12 cytokine and anti-PD-L1 inhibitor. The proposed ordinary differential new mathematical model is studied by considering in term of Caputo and Caputo-Fabrizio (CF) derivative. Stability analysis, existence, and uniqueness of the solution is examined for Caputo fractional derivative. Then numerical simulations of ordinary and fractional differential new mathematical model are given. It is obtained that a reduction (20%-80%) of the number of cancer cells for Caputo derivative and
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