An Efficient Technique for One-Dimensional Fractional Diffusion EquationModel for Cancer Tumor

作     者：Daasara Keshavamurthy Archana Doddabhadrappla Gowda Prakasha Pundikala Veeresha Kottakkaran Sooppy Nisar 

作者机构：Department of MathematicsDavangere UniversityDavangere577007India Center for Mathematical NeedsDepartment of MathematicsCHRIST(Deemed to be University)Bengaluru560029India Department of MathematicsCollege of Science and Humanities in AlkharjPrince Sattam bin Abdulaziz UniversityAl-Kharj11942Saudi Arabia Saveetha School of EngineeringSIMATSChennai602105India 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2024年第141卷第11期

页      面：1347-1363页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Prince Sattam bin Abdulaziz University in Saudi Arabia supported this research under Project Number PSAU/2024/01/99519 

主　　题：Caputo-fractional derivative Laplace transforms cancer tumor model q-homotopy analysis transform method 

摘      要：This study intends to examine the analytical solutions to the resulting one-dimensional differential equation of acancer tumor model in the frame of time-fractional order with the Caputo-fractional operator employing a highlyefficient methodology called the q-homotopy analysis transform ***,the preferred approach effectivelyfound the analytic series solution of the proposed *** procured outcomes of the present frameworkdemonstrated that this method is authentic for obtaining solutions to a time-fractional-order cancer *** achieved graphically specify that the concerned paradigm is dependent on arbitrary order and parametersand also disclose the competence of the proposed algorithm.