Search
Now showing items 1-10 of 15
The nonlinear dynamics a cancer tumor growth model and application
(11th International Summit Scientific Research Congress, 2023)
In this talk, mathematical analysis of the model equations with multipoint condition, regarding dissipativity, boundedness of solutions, invariance of non-negativity, nature of equilibria, local and global stability have ...
Kinetic maximal LP regularity for nonlocal Kolmogorov equation and application
(7. Uluslararası Erciyes Bilimsel Araştırmalar Kongresi, 2022)
We study the linear and nonlinear nonlocal abstract Kolmogorov equations. The equations includes the abstract operator A in a Banach space E. Here,the kinetic maximal L2-regularity for the linear equat¨on is derived in ...
Dynamics of a cancer tumor growth model with a drug term
(10th International Congress on Fundamental and Applied Sciences, 2023)
Here, we investigate Michaelis-Menten type dynamics of phase-space analysis to a mathematical model of tumor growth with an immune responses. We thenexplore the effects of adaptive cellular immunotherapy on the model ...
The regularity properties and blow-up of the solutions for nonlocal general wave equations
(Journal of Differential Equations, 2022)
In this paper, the Cauchy problem for nonlocal linear and nonlinear wave equations are studied. The equations include the general differential operators. The existence, uniqueness,
-regularity properties and blow-up at ...
Regularity properties of nonlocal fractional differential equations and applications
(Georgian Mathematical Journal, 2022)
The regularity properties of nonlocal fractional elliptic and parabolic equations in vector-valued Besov spaces are studied. The uniform Bsp,q -separability properties and sharp resolvent estimates are obtained for abstract ...
Cauchy problem for nonlocal abstract Stokes equations and applications
(Sixth International Conference on Analysis and Applied Mathematics (ICAAM 2022), 2022)
Stability features of the dynamical system emerging in the model of the cancer growth
(2023)
In this paper, we studied phase-space analysis of a certain mathematical model of tumor growth with an immune responses and chemotherapy therapy. Mathematical modeling of this process is viewed as a potentially powerful ...
Interaction of virus in cancer patients: a theoretical dynamic model
(MDPI, 2023)
This study reports on a phase-space analysis of a mathematical model of tumor growth with
the interaction between virus and immune response. In this study, a mathematical determination was
attempted to demonstrate the ...
Nonlocal fractional elliptic equations and applications
(Numerical Methods for Partial Differential Equations, 2022)
The Lp-coercive properties of a nonlocal fractional ellip tic equation is studied. Particularly, it is proved that the
fractional elliptic operator generated by this equation is sec torial in Lp space and also is a generator ...
Quality properties of linear and nonlinear abstract Schrödinger equations and applications
(4. International Palandöken Scientific Studies Congress, 2022)
In this talk, we consider the integral problem for linear abstract Schrödinger equation and nonlinear abstract Schrˆdinger (NLAS) equation.