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An Efficient Technique for One-Dimensional Fractional Diffusion Equation Model for Cancer Tumor

Daasara Keshavamurthy Archana1, Doddabhadrappla Gowda Prakasha1, Pundikala Veeresha2, Kottakkaran Sooppy Nisar3,4,*

1 Department of Mathematics, Davangere University, Davangere, 577007, India
2 Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India
3 Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia
4 Saveetha School of Engineering, SIMATS, Chennai, 602105, India

* Corresponding Author: Kottakkaran Sooppy Nisar. Email: email

(This article belongs to the Special Issue: Analytical and Numerical Solution of the Fractional Differential Equation)

Computer Modeling in Engineering & Sciences 2024, 141(2), 1347-1363. https://doi.org/10.32604/cmes.2024.053916

Abstract

This study intends to examine the analytical solutions to the resulting one-dimensional differential equation of a cancer tumor model in the frame of time-fractional order with the Caputo-fractional operator employing a highly efficient methodology called the -homotopy analysis transform method. So, the preferred approach effectively found the analytic series solution of the proposed model. The procured outcomes of the present framework demonstrated that this method is authentic for obtaining solutions to a time-fractional-order cancer model. The results achieved graphically specify that the concerned paradigm is dependent on arbitrary order and parameters and also disclose the competence of the proposed algorithm.

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APA Style
Archana, D.K., Prakasha, D.G., Veeresha, P., Nisar, K.S. (2024). An efficient technique for one-dimensional fractional diffusion equation model for cancer tumor. Computer Modeling in Engineering & Sciences, 141(2), 1347-1363. https://doi.org/10.32604/cmes.2024.053916
Vancouver Style
Archana DK, Prakasha DG, Veeresha P, Nisar KS. An efficient technique for one-dimensional fractional diffusion equation model for cancer tumor. Comput Model Eng Sci. 2024;141(2):1347-1363 https://doi.org/10.32604/cmes.2024.053916
IEEE Style
D.K. Archana, D.G. Prakasha, P. Veeresha, and K.S. Nisar "An Efficient Technique for One-Dimensional Fractional Diffusion Equation Model for Cancer Tumor," Comput. Model. Eng. Sci., vol. 141, no. 2, pp. 1347-1363. 2024. https://doi.org/10.32604/cmes.2024.053916



cc Copyright © 2024 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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