Solving a fuzzy fractional diffusion model for cancer tumor by using fuzzy transforms
| Autor: | Tofigh Allahviranloo, E. Qahremani, M. Keshavarz |
|---|---|
| Přispěvatelé: | İstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümü, Allahviranloo, Tofigh |
| Rok vydání: | 2022 |
| Předmět: |
Fuzzy Fractional Diffusion Mathematical Model of The Net Killing Rate of Cancer Cells
Fuzzy Fractional Diffusion Equation Mathematics::General Mathematics Logic Fuzzy Laplace–Carson Transform Integral transform Fuzzy logic symbols.namesake Fourier transform Development (topology) Killing rate Artificial Intelligence symbols Fractional diffusion Applied mathematics Fuzzy Fourier Transform Differentiable function Fractional differential Caputo-Generalized Hukuhara Partial Differentiability Mathematics |
| Zdroj: | Fuzzy Sets and Systems. 443:198-220 |
| ISSN: | 0165-0114 |
| DOI: | 10.1016/j.fss.2021.10.009 |
| Popis: | This study obtains a fuzzy solution to the mathematical model of a cancer tumor under Caputo-generalized Hukuhara partial differentiability by using fuzzy integral transforms. In order to solve the fuzzy partial fractional differential equations, the two-variable fuzzy Laplace—Carson transforms and the two-variable fuzzy Fourier transform under the generalized Hukuhara partial differentiability and Caputo-generalized Hukuhara partial differentiability are investigated. Following this, an algorithm for the proposed method is presented. Finally, as a practical model of fuzzy fractional diffusion equations, the fuzzy mathematical model of the net killing rate of cancer cells in tumors is investigated. This technique is powerful and essential for the development of a fuzzy analytical method for solving fuzzy partial fractional differential equations. 2-s2.0-85119302470 |
| Databáze: | OpenAIRE |
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