A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment
From MaRDI portal
Publication:5110337
DOI10.1142/S1793524520500217zbMath1443.92101OpenAlexW3003974663MaRDI QIDQ5110337
Publication date: 18 May 2020
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793524520500217
Medical applications (general) (92C50) Markov semigroups and applications to diffusion processes (47D07) Fractional partial differential equations (35R11)
Related Items (18)
Some new local fractional inequalities associated with generalized \((s,m)\)-convex functions and applications ⋮ A novel mathematical approach of COVID-19 with non-singular fractional derivative ⋮ Identifying the space source term problem for time-space-fractional diffusion equation ⋮ Generalized Fejér-Hermite-Hadamard type via generalized \((h-m)\)-convexity on fractal sets and applications ⋮ Integral inequalities via Raina's fractional integrals operator with respect to a monotone function ⋮ Numerical study of Zika model as a mosquito-borne virus with non-singular fractional derivative ⋮ Analysis of tumor cells in the absence and presence of chemotherapeutic treatment: the case of Caputo-Fabrizio time fractional derivative ⋮ REVISITING FEJÉR–HERMITE–HADAMARD TYPE INEQUALITIES IN FRACTAL DOMAIN AND APPLICATIONS ⋮ Numerical simulation for generalized space-time fractional Klein-Gordon equations via Gegenbauer wavelet ⋮ A new numerical study of space–time fractional advection–reaction–diffusion equation with Rabotnov fractional‐exponential kernel ⋮ Numerical solution of fuzzy fractional diffusion equation by Chebyshev spectral method ⋮ A novel high-order finite-difference method for the time-fractional diffusion equation with smooth/nonsmooth solutions ⋮ A novel comprehensive analysis on generalized harmonically ψ‐convex with respect to Raina's function on fractal set with applications ⋮ On local fractional integral inequalities via generalized \((\tilde{h}_1, \tilde{h}_2)\)-preinvexity involving local fractional integral operators with Mittag-Leffler kernel ⋮ Some Hermite‐Hadamard's type local fractional integral inequalities for generalized γ‐preinvex function with applications ⋮ Some inequalities for a new class of convex functions with applications via local fractional integral ⋮ Backward bifurcation in a fractional-order and two-patch model of tuberculosis epidemic with incomplete treatment ⋮ NEW MULTI-FUNCTIONAL APPROACH FOR κTH-ORDER DIFFERENTIABILITY GOVERNED BY FRACTIONAL CALCULUS VIA APPROXIMATELY GENERALIZED (ψ, ℏ)-CONVEX FUNCTIONS IN HILBERT SPACE
Cites Work
- Unnamed Item
- Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus
- Novel identities for \(q\)-Genocchi numbers and polynomials
- Application of Legendre wavelets for solving fractional differential equations
- Numerical solution of fractional differential equations using the generalized block pulse operational matrix
- Homotopy analysis method for fractional IVPs
- Solving a nonlinear fractional differential equation using Chebyshev wavelets
- Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A hierarchy of cancer models and their mathematical challenges
- On immunotherapies and cancer vaccination protocols: a mathematical modelling approach
- New operational matrix via Genocchi polynomials for solving Fredholm-Volterra fractional integro-differential equations
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations
- Some new formulae for Genocchi numbers and polynomials involving Bernoulli and Euler polynomials
- Modelling of tumor cells regression in response to chemotherapeutic treatment
- The dynamics of growth-factor-modified immune response to cancer growth: One dimensional models
- A method for the numerical solution of the integro-differential equations
- An Eigenvector Expansion Method for the Solution of Motion Containing Fractional Derivatives
This page was built for publication: A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment