Open Access

ARTICLE

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

by Daasara Keshavamurthy Archana¹, Doddabhadrappla Gowda Prakasha¹, Pundikala Veeresha², Kottakkaran Sooppy Nisar^3,4,*

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:

(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

Received 13 May 2024; Accepted 09 July 2024; Issue published 27 September 2024

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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Keywords

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