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Current Issue [Vol. 12, No. 06] [June 2026]
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| Paper Title | :: | A Study of a One-Dimensional Fuzzy Fractional Tumor Model using a Modified Analytical Method |
| Author Name | :: | Samaresh Kumbhakar || Amit Kumar |
| Country | :: | India |
| Page Number | :: | 01-10 |
The mathematical tumor model is an efficient tool for analyzing the tumor growth and propagation. It also helps to plan the treatment in a more accurate way. The net killing rate of tumor cells helps to monitor the growth or decay of the tumor. In this article, two types of one-dimensional time-fractional tumor model is taken based on two types of net killing rate. In addition, fuzzy initial condition is considered. The solution is obtained by the use of an analytical method called the optimal homotopy asymptotic laplace transform method (OHALTM). Numerical experiments are given for both cases to validate the new approach. The small margin of absolute errors shows the accuracy of the solutions. The fractional derivative with fuzzy initial conditions in the tumor model is also discussed.
Keywords: Tumor model, Fractional differential equations, Optimal homotopy asymptotic laplace transform method, Fuzzy initial condition.
Keywords: Tumor model, Fractional differential equations, Optimal homotopy asymptotic laplace transform method, Fuzzy initial condition.
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[5] Khan, M. A., & Atangana, A. (2020) Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative. Alexandria Engineering Journal, 59(4), 2379-2389. https://doi.org/10.1016/j.aej.2020.02.033
[2] Louzoun, Y., Xue, C., Lesinski,G.B., & Friedman, A. (2014) A mathematical model for pancreatic cancer growth and treatments. Journal of Theoretical Biology, 351, 74–82. http://dx.doi.org/10.1016/j.jtbi.2014.02.028
[3] Khajanchi, S., & Banerjee, S. (2019) A Strategy of Optimal Efficacy of T11 Target Structure in the Treatment of Brain Tumor.Journal of Biological Systems, 27(2) 1–31. DOI:10.1142/S0218339019500104
[4] Kumar, S., Shaw, P. K., Abdel-Aty, A., & Mahmoud, E.E. (2020) A numerical study on fractional differential equation with population growth model. Numer Methods Partial Differential Eq., 1–22. DOI:10.1002/num.22684.
[5] Khan, M. A., & Atangana, A. (2020) Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative. Alexandria Engineering Journal, 59(4), 2379-2389. https://doi.org/10.1016/j.aej.2020.02.033