Keshavarz, MasoumehQahremani E.Allahviranloo, Tofigh2021-11-252021-11-252021Keshavarz, M., Qahremani, E., & Allahviranloo, T. (2021). Solving a fuzzy fractional diffusion model for cancer tumor by using fuzzy transforms. Fuzzy Sets and Systems.0165-0114https://doi.org/10.1016/j.fss.2021.10.009https://hdl.handle.net/20.500.12713/2279This 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.eninfo:eu-repo/semantics/closedAccessCaputo-Generalized Hukuhara Partial DifferentiabilityFuzzy Fourier TransformFuzzy Fractional Diffusion EquationFuzzy Fractional Diffusion Mathematical Model of The Net Killing Rate of Cancer CellsFuzzy Laplace–Carson TransformArticleWOS:0008329400000102-s2.0-85119302470Q110.1016/j.fss.2021.10.009Q1