[HTML][HTML] Adaptive fast-reaching nonsingular terminal sliding mode tracking control for quadrotor UAVs subject to model uncertainties and external disturbances

S Mobayen, FFM El-Sousy, KA Alattas, O Mofid… - Ain Shams Engineering …, 2023 - Elsevier
This paper proposes an adaptive fast-reaching nonsingular terminal sliding mode control
approach for the position and attitude tracking control of a quadrotor UAV subject to model …

Modeling cancer progression: an integrated workflow extending data-driven kinetic models to bio-mechanical PDE models

NM Mirzaei, L Shahriyari - Physical Biology, 2024 - iopscience.iop.org
Computational modeling of cancer can help unveil dynamics and interactions that are hard
to replicate experimentally. Thanks to the advancement in cancer databases and data …

An efficient algorithm for solving the fractional hepatitis b treatment model using generalized Bessel polynomial

Z Avazzadeh, H Hassani, AB Eshkaftaki… - Iranian journal of …, 2023 - Springer
Hepatitis B is the most common serious liver infection in the world. The cause of this
infection is hepatitis B virus (HBV) that attacks liver cells and leads to liver injury. This work …

Solving nonlinear systems of fractional-order partial differential equations using an optimization technique based on generalized polynomials

H Hassani, JAT Machado, E Naraghirad… - … and Applied Mathematics, 2020 - Springer
This paper addresses the application of generalized polynomials for solving nonlinear
systems of fractional-order partial differential equations with initial conditions. First, the …

Derivation and travelling wave analysis of phenotype-structured haptotaxis models of cancer invasion

T Lorenzi, FR Macfarlane, KJ Painter - European Journal of Applied …, 2024 - cambridge.org
We formulate haptotaxis models of cancer invasion wherein the infiltrating cancer cells can
occupy a spectrum of states in phenotype space, ranging from 'fully mesenchymal'to 'fully …

Blow-Up Phenomena for a Sixth-Order Partial Differential Equation with a General Nonlinearity

A Anbu, BB Natesan, S Lingeshwaran… - Journal of Dynamical and …, 2023 - Springer
In this paper, we study the blow-up results for the sixth-order time-dependent partial
differential equation (PDE). First, we establish the existence of global solutions for the given …

Regularity and stability in a strongly degenerate nonlinear diffusion and haptotaxis model of cancer invasion

B Perthame, C Villa - arXiv preprint arXiv:2412.18261, 2024 - arxiv.org
We consider a mathematical model of cancer cell invasion of the extracellular matrix (ECM),
comprising a strongly degenerate parabolic partial differential equation for the cell volume …

Solvability and numerical simulations for tumor invasion model with nonlinear diffusion

J Manimaran, L Shangerganesh - … and Mathematical Methods, 2020 - Wiley Online Library
This paper is devoted to study the nonlinear diffusion parabolic partial differential equations,
which describes the invasion of cancer cells into the normal tissues. We prove the existence …

Lower and upper bounds for the explosion times of a system of semilinear SPDEs

S Sankar, MT Mohan, S Karthikeyan - Stochastics, 2024 - Taylor & Francis
In this paper, we obtain lower and upper bounds for the blow-up times for a system of
semilinear stochastic partial differential equations. Under suitable assumptions, lower and …

Blow-up solutions of a time-fractional diffusion equation with variable exponents

J Manimaran, L Shangerganesh - Tbilisi Mathematical Journal, 2019 - projecteuclid.org
In this paper, we investigate the blow-up of solutions of a time-fractional nonlocal reaction-
diffusion equation with variable exponents under the Dirichlet boundary condition. We prove …