High performance computational method for fractional model of solid tumour invasion

Title

High performance computational method for fractional model of solid tumour invasion

Creator

Nisar K.S.; Jagatheeshwari R.; Ravichandran C.; Veeresha P.

Description

The behaviour of the solid tumour invasion system in the sense of Caputo fractional with time ? and space x is analyzed by the high performance computational method: q-Homotopy Analysis Transform method (q-HATM). The existence of the solutions has been verified with the assist of fixed point theorem and derived numerical solution for different values of ?,?,h. The novel simulation for all cases is explained through figures. We derived that the method is very efficient for analyzing the behaviour of the epidemiological system. 2023 THE AUTHORS

Source

Ain Shams Engineering Journal, Vol-14, No. 12

Date

2023-01-01

Publisher

Ain Shams University

Subject

Fixed point techniques; Fractional derivative and integrals; Homotopy; Mathematical models

Coverage

Nisar K.S., Department of Mathematics, College of Science and Humanities, Prince Sattam Bin Abdulaziz University, Al Kharj, Saudi Arabia; Jagatheeshwari R., Department of Mathematics, Kumaraguru college of Liberal Arts and Science, Coimbatore, India; Ravichandran C., Department of Mathematics, Kongunadu Arts and Science College, Coimbatore, India; Veeresha P., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India

Rights

All Open Access; Gold Open Access

Relation

ISSN: 20904479

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1016/j.asej.2023.102226

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85151410084&doi=10.1016%2fj.asej.2023.102226&partnerID=40&md5=84e62c12ef1768e44245409df0d14e4e