Cancer Modeling by Fractional Derivative Equation and Chemotherapy Stabilizing

Amine Moustafid

doi:10.33434/cams.1486049

EN

Cancer Modeling by Fractional Derivative Equation and Chemotherapy Stabilizing

Abstract

This paper discusses the theme of cancer modeling and the control problem of chemotherapy. Cancer spread is modeled by fractional derivative equation and asymptotically stabilized by chemotherapy law. The model is converted by fractional complex transform into a simple partial derivative equation and associated with a viability problem, and the set-valued analysis is used to make the converted model viable by the regulation law of the regulation map. The regulation law is used to give the stabilizing chemotherapy control for a specific model of the glioblastomas multiforme (GBM) tumor concentration.

Keywords

Chemotherapy, Fractional derivative equation, Viability theory

References

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Details

Primary Language

English

Subjects

Partial Differential Equations, Applied Mathematics (Other)

Journal Section

Research Article

Authors

Amine Moustafid ^*
0000-0002-9121-0745
Morocco

Early Pub Date

September 8, 2024

Publication Date

September 29, 2024

Submission Date

May 18, 2024

Acceptance Date

July 11, 2024

Published in Issue

Year 2024 Volume: 7 Number: 3

DOI

https://doi.org/10.33434/cams.1486049

IZ

https://izlik.org/JA63ZF38LP

APA

Moustafid, A. (2024). Cancer Modeling by Fractional Derivative Equation and Chemotherapy Stabilizing. Communications in Advanced Mathematical Sciences, 7(3), 125-134. https://doi.org/10.33434/cams.1486049

AMA

1.Moustafid A. Cancer Modeling by Fractional Derivative Equation and Chemotherapy Stabilizing. Communications in Advanced Mathematical Sciences. 2024;7(3):125-134. doi:10.33434/cams.1486049

Chicago

Moustafid, Amine. 2024. “Cancer Modeling by Fractional Derivative Equation and Chemotherapy Stabilizing”. Communications in Advanced Mathematical Sciences 7 (3): 125-34. https://doi.org/10.33434/cams.1486049.

EndNote

Moustafid A (September 1, 2024) Cancer Modeling by Fractional Derivative Equation and Chemotherapy Stabilizing. Communications in Advanced Mathematical Sciences 7 3 125–134.

IEEE

[1]A. Moustafid, “Cancer Modeling by Fractional Derivative Equation and Chemotherapy Stabilizing”, Communications in Advanced Mathematical Sciences, vol. 7, no. 3, pp. 125–134, Sept. 2024, doi: 10.33434/cams.1486049.

ISNAD

Moustafid, Amine. “Cancer Modeling by Fractional Derivative Equation and Chemotherapy Stabilizing”. Communications in Advanced Mathematical Sciences 7/3 (September 1, 2024): 125-134. https://doi.org/10.33434/cams.1486049.

JAMA

1.Moustafid A. Cancer Modeling by Fractional Derivative Equation and Chemotherapy Stabilizing. Communications in Advanced Mathematical Sciences. 2024;7:125–134.

MLA

Moustafid, Amine. “Cancer Modeling by Fractional Derivative Equation and Chemotherapy Stabilizing”. Communications in Advanced Mathematical Sciences, vol. 7, no. 3, Sept. 2024, pp. 125-34, doi:10.33434/cams.1486049.

Vancouver

1.Amine Moustafid. Cancer Modeling by Fractional Derivative Equation and Chemotherapy Stabilizing. Communications in Advanced Mathematical Sciences. 2024 Sep. 1;7(3):125-34. doi:10.33434/cams.1486049

The published articles in CAMS are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License..

Abstract

Cancer Modeling by Fractional Derivative Equation and Chemotherapy Stabilizing

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Early Pub Date

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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