دانشگاه گیلان
معاونت پژوهش و فناوری دانشگاه گیلان
انتشارات دانشگاه گیلان

 آمار

تعداد نشریات31
تعداد شماره‌ها792
تعداد مقالات7,554
تعداد مشاهده مقاله24,670,673
تعداد دریافت فایل اصل مقاله7,582,948
Singh, Amandeep, Pippal, Sarita, Sati, Jasmine. (1404). Atangana–Baleanu–Caputo (ABC), Caputo-Fabrizio (CF), and Caputo Fractional Derivative Approaches in Fuzzy Time Fractional Cancer Tumor Growth Models. فیزیولوژی و بیوتکنولوژی آبزیان, (), 685-706. doi: 10.22124/jmm.2025.29638.2640
Amandeep Singh; Sarita Pippal; Jasmine Sati. "Atangana–Baleanu–Caputo (ABC), Caputo-Fabrizio (CF), and Caputo Fractional Derivative Approaches in Fuzzy Time Fractional Cancer Tumor Growth Models". فیزیولوژی و بیوتکنولوژی آبزیان, , , 1404, 685-706. doi: 10.22124/jmm.2025.29638.2640
Singh, Amandeep, Pippal, Sarita, Sati, Jasmine. (1404). 'Atangana–Baleanu–Caputo (ABC), Caputo-Fabrizio (CF), and Caputo Fractional Derivative Approaches in Fuzzy Time Fractional Cancer Tumor Growth Models', فیزیولوژی و بیوتکنولوژی آبزیان, (), pp. 685-706. doi: 10.22124/jmm.2025.29638.2640
Singh, Amandeep, Pippal, Sarita, Sati, Jasmine. Atangana–Baleanu–Caputo (ABC), Caputo-Fabrizio (CF), and Caputo Fractional Derivative Approaches in Fuzzy Time Fractional Cancer Tumor Growth Models. فیزیولوژی و بیوتکنولوژی آبزیان, 1404; (): 685-706. doi: 10.22124/jmm.2025.29638.2640

Atangana–Baleanu–Caputo (ABC), Caputo-Fabrizio (CF), and Caputo Fractional Derivative Approaches in Fuzzy Time Fractional Cancer Tumor Growth Models

Journal of Mathematical Modeling
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 21 اردیبهشت 1404    اصل مقاله (1.11 M)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2025.29638.2640
نویسندگان
Amandeep Singh* 1؛ Sarita Pippal2؛ Jasmine Sati3
1Department of Mathematics, Panjab University, Chandigarh, India & Department of Mathematics, Government College Gurdaspur, Punjab, India
2Department of Mathematics, Panjab University, Chandigarh, India
3Centre for Nuclear Medicine, Panjab University Chandigarh, India
چکیده
This article introduces a new approach for solving a time-fractional cancer tumor model using Caputo, Caputo-Fabrizio (CF), and Atangana-Baleanu-Caputo (ABC) fractional derivatives, accounting for varying net-killing rates of cancer cells in an uncertain environment. The model with the Caputo derivative is initially tackled using an explicit finite difference method (EFDM) with a fully time-dependent net killing rate. Approximate solutions for two different net death rates are obtained using the Sumudu transformation (ST) combined with the Adomian decomposition method (ADM), providing more accurate approximations than the EFDM. The model's behavior is analyzed with 2D and 3D visualizations. Convergence and error analysis of the method for the Caputo fractional derivative have been performed. The ADM provides reliable approximations for fractional models with fuzzy parameters, outperforming the EFDM by achieving lower absolute errors. The results exhibit symmetric lower and upper approximations around zero, effectively capturing the fuzzy nature of the solution.  All methods converge to zero at higher cuts in fuzzy triangular numbers, i.e. \( v = 1 \).
کلیدواژه‌ها
Adomian decomposition method (ADM)؛ Sumudu transformation (ST)؛ fuzzy set theory؛ time-fractional cancer tumor models
آمار
تعداد مشاهده مقاله: 28
تعداد دریافت فایل اصل مقاله: 35


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب