New observations on optimal cancer treatments for a fractional tumor growth model with and without singular kernel

DOI10.1016/j.chaos.2018.10.029zbMath1442.92067OpenAlexW2900235904WikidataQ128911826 ScholiaQ128911826MaRDI QIDQ2201411

Sadia Arshad, Tuğba Akman Yıldız, Dumitru Baleanu

Publication date: 29 September 2020

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2018.10.029

zbMATH Keywords

stabilityoptimal controlfractional differential equationschemotherapyimmunotherapyobesitynonsingular kernel

Mathematics Subject Classification ID

Medical applications (general) (92C50) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (6)

Stability analysis of fractional order mathematical model of tumor-immune system interaction ⋮ Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable order ⋮ Modeling of mouse experiments suggests that optimal anti-hormonal treatment for breast cancer is diet-dependent ⋮ A Cancer Model for the Angiogenic Switch and Immunotherapy: Tumor Eradication in Analysis of Ultimate Dynamics ⋮ Stability analysis and numerical simulations via fractional calculus for tumor dormancy models ⋮ Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel

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