ItemArticle

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

Title
An Efficient Technique for One-Dimensional Fractional Diffusion Equation Model for Cancer Tumor
Creator
Archana D.K.; Prakasha D.G.; Veeresha P.; Nisar K.S.
Description
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 q-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. 2024 The Authors.
Source
CMES - Computer Modeling in Engineering and Sciences, Vol-141, No. 2, pp. 1347-1363.
Date
2024-01-01
Publisher
Tech Science Press
Subject
cancer tumor model; Caputo-fractional derivative; Laplace transforms; q-homotopy analysis transform method
Coverage
Archana D.K., Department of Mathematics, Davangere University, Davangere, 577007, India; Prakasha D.G., Department of Mathematics, Davangere University, Davangere, 577007, India; Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India; Nisar K.S., Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia, Saveetha School of Engineering, SIMATS, Chennai, 602105, India
Rights
All Open Access; Gold Open Access
Relation
ISSN: 15261492
Format
Online
Language
English
Type
Article

Collection

Articles

Citation

Archana D.K.; Prakasha D.G.; Veeresha P.; Nisar K.S., “An Efficient Technique for One-Dimensional Fractional Diffusion Equation Model for Cancer Tumor,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 23, 2025, https://archives.christuniversity.in/items/show/13495.

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