Numerical Solution for Fuzzy Time-Fractional Cancer Tumor Model with a Time-Dependent Net Killing Rate of Cancer Cells

Hamzeh Zureigat, Mohammed Al-Smadi, Areen Al-Khateeb, Shrideh Al-Omari () and Sharifah Alhazmi
Additional contact information
Hamzeh Zureigat: Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
Mohammed Al-Smadi: College of Commerce and Business, Lusail University, Lusail 9717, Qatar
Areen Al-Khateeb: Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
Shrideh Al-Omari: Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Amman 11134, Jordan
Sharifah Alhazmi: Mathematics Department, Al-Qunfudah University College, Umm Al-Qura University, Mecca 21955, Saudi Arabia

IJERPH, 2023, vol. 20, issue 4, 1-13

Abstract: A cancer tumor model is an important tool for studying the behavior of various cancer tumors. Recently, many fuzzy time-fractional diffusion equations have been employed to describe cancer tumor models in fuzzy conditions. In this paper, an explicit finite difference method has been developed and applied to solve a fuzzy time-fractional cancer tumor model. The impact of using the fuzzy time-fractional derivative has been examined under the double parametric form of fuzzy numbers rather than using classical time derivatives in fuzzy cancer tumor models. In addition, the stability of the proposed model has been investigated by applying the Fourier method, where the net killing rate of the cancer cells is only time-dependent, and the time-fractional derivative is Caputo’s derivative. Moreover, certain numerical experiments are discussed to examine the feasibility of the new approach and to check the related aspects. Over and above, certain needs in studying the fuzzy fractional cancer tumor model are detected to provide a better comprehensive understanding of the behavior of the tumor by utilizing several fuzzy cases on the initial conditions of the proposed model.

Keywords: cancer tumor models; fuzzy fractional diffusion equation; finite difference scheme; Caputo formula (search for similar items in EconPapers)
JEL-codes: I I1 I3 Q Q5 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/1660-4601/20/4/3766/pdf (application/pdf)
https://www.mdpi.com/1660-4601/20/4/3766/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jijerp:v:20:y:2023:i:4:p:3766-:d:1074981

Access Statistics for this article

IJERPH is currently edited by Ms. Jenna Liu

More articles in IJERPH from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().