Solving a fuzzy fractional diffusion model for cancer tumor by using fuzzy transforms
Yükleniyor...
Dosyalar
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier B.V.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Caputo-Generalized Hukuhara Partial Differentiability, Fuzzy Fourier Transform, Fuzzy Fractional Diffusion Equation, Fuzzy Fractional Diffusion Mathematical Model of The Net Killing Rate of Cancer Cells, Fuzzy Laplace–Carson Transform
Kaynak
Fuzzy Sets and Systems
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
Sayı
Künye
Keshavarz, M., Qahremani, E., & Allahviranloo, T. (2021). Solving a fuzzy fractional diffusion model for cancer tumor by using fuzzy transforms. Fuzzy Sets and Systems.
