Numerical investigation of a fractional model of a tumor-immune surveillance via Caputo operator

Alshammari, Saleh; Alshammari, Mohammad; Alabedalhadi, Mohammed; Al-Sawalha, M. Mossa; Al-Smadi, Mohammed

doi:10.1016/j.aej.2023.11.026

Alexandria Engineering Journal

2024

DOI: 10.1016/j.aej.2023.11.026

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Numerical investigation of a fractional model of a tumor-immune surveillance via Caputo operator

Saleh Alshammari,

Mohammad Alshammari,

Mohammed Alabedalhadi

et al.

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Cited by 5 publications

References 41 publications

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An optimal solution for tumor growth model using generalized Bessel polynomials

Saeidi,

Dahaghin,

Mehrabi

et al. 2024

Math Methods in App Sciences

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In this paper, a mathematical model is given that depicts the interactions between cancer cells and viruses in the setting of oncolytic virotherapy. The model is separated into three classes, namely, concentrations of uninfected tumor cells in the population “ ”, free virus “ ”, and cancerous cells infected “ ”. Applying Caputo fractional derivative, the model is fractionalized, and using generalized Bessel polynomials, an optimal problem is solved utilizing Lagrange multipliers method. The results show that the presented method has high accuracy and is suitable for solving the nonlinear systems based on partial differential equations especially tumors models.

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An optimal solution for tumor growth model using generalized Bessel polynomials

Saeidi,

Dahaghin,

Mehrabi

et al. 2024

Math Methods in App Sciences

View full text Add to dashboard Cite

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A Robust Higher-Order Scheme for Fractional Delay Differential Equations Involving Caputo Derivative

Prusty,

Sharma

2024

Iran J Sci

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Novel fractional integral inequalities for GA-Cr-convex functions and connections with information systems

Fahad,

Ali,

Furuichi

et al. 2025

Alexandria Engineering Journal

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Numerical investigation of a fractional model of a tumor-immune surveillance via Caputo operator

Cited by 5 publications

References 41 publications

An optimal solution for tumor growth model using generalized Bessel polynomials

An optimal solution for tumor growth model using generalized Bessel polynomials

A Robust Higher-Order Scheme for Fractional Delay Differential Equations Involving Caputo Derivative

Novel fractional integral inequalities for GA-Cr-convex functions and connections with information systems

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