Results 51 to 60 of about 16,801 (158)

Modeling Virus Mutation Dynamics Using Piecewise Fractional Derivatives

European Journal of Pure and Applied Mathematics
A virus mutation model under piecewise fractional order derivatives involving Mittag-Leffler type kernel has been studied in this manuscript. As mutation is an important phenomenon for the survival of virus. The concerned study aims to detect the crossover behavior of the dynamics of virus mutation. The considered problem explains a compartmental model
Eiman ., Kamal Shah, Muhammad Sarwar, Thabet Abdeljawad   +3 more
openaire   +1 more source

Exploring Impulsive and Delay Differential Systems Using Piecewise Fractional Derivatives

Fractal and Fractional
This paper investigates a general class of variable-kernel discrete delay differential equations (DDDEs) with integral boundary conditions and impulsive effects, analyzed using Caputo piecewise derivatives. We establish results for the existence and uniqueness of solutions, as well as their stability.
Hicham Saber, Arshad Ali, Khaled Aldwoah, Tariq Alraqad, Abdelkader Moumen, Amer Alsulami, Nidal Eljaneid   +6 more
openaire   +2 more sources

Hybrid Fuzzy Fractional for Multi-Phasic Epidemics: The Omicron–Malaria Case Study

Fractal and Fractional
This study introduces a novel Fuzzy Piecewise Fractional Derivative (FPFD) framework to enhance epidemiological modeling, specifically for the multi-phasic co-infection dynamics of Omicron and malaria.
Mohamed S. Algolam, Ashraf A. Qurtam, Mohammed Almalahi, Khaled Aldwoah, Mesfer H. Alqahtani, Alawia Adam, Salahedden Omer Ali   +6 more
doaj   +1 more source

On rotavirus infectious disease model using piecewise modified $ ABC $ fractional order derivative

Networks and Heterogeneous Media
<abstract><p>The goal of this manuscript is to use a mathematical model with four compartments to examine the positive effects of rotavirus vaccinations. Susceptible, vaccinated, infected, and recovered (SVIR) classes are included in the suggested model.
Eiman, Shah, Kamal, Sarwar, Muhammad, Abdeljawad, Thabet   +3 more
openaire   +1 more source

Collocation based approximations for a class of fractional boundary value problems

Mathematical Modelling and Analysis, 2023
A boundary value problem for fractional integro-differential equations with weakly singular kernels is considered. The problem is reformulated as an integral equation of the second kind with respect to, the Caputo fractional derivative of y of order α ...
Hanna Britt Soots, Kaido Lätt, Arvet Pedas   +2 more
doaj   +1 more source

Asymptotically periodic behavior of solutions to fractional non-instantaneous impulsive semilinear differential inclusions with sectorial operators

Advances in Difference Equations, 2021
In this paper, we prove two results concerning the existence of S-asymptotically ω-periodic solutions for non-instantaneous impulsive semilinear differential inclusions of order 1 < α < 2 ...
Zainab Alsheekhhussain, JinRong Wang, Ahmed Gamal Ibrahim   +2 more
doaj   +1 more source

Almost Periodic Solutions for Impulsive Fractional Stochastic Evolution Equations

International Journal of Analysis and Applications, 2014
In this paper, we consider the existence of square-mean piecewise almost periodic solutions for impulsive fractional stochastic evolution equations involving Caputo fractional derivative.
Toufik Guendouzi, Lamia Bousmaha
doaj   +2 more sources

Compressive Space-Time Galerkin Discretizations of Parabolic Partial Differential Equations [PDF]

, 2015
We study linear parabolic initial-value problems in a space-time variational formulation based on fractional calculus. This formulation uses "time derivatives of order one half" on the bi-infinite time axis.
Larsson, Stig, Schwab, Christoph
core   +1 more source

Stable L\'{e}vy diffusion and related model fitting

, 2018
A fractional advection-dispersion equation (fADE) has been advocated for heavy-tailed flows where the usual Brownian diffusion models fail. A stochastic differential equation (SDE) driven by a stable L\'{e}vy process gives a forward equation that matches
Chakraborty, Paramita, Guo, Xu, Wang, Hong   +2 more
core   +1 more source

A hybrid method based on the classical/piecewise Chebyshev cardinal functions for multi-dimensional fractional Rayleigh–Stokes equations

Results in Applied Mathematics
This study presents a numerical hybrid strategy for deriving approximate solutions to the one- and two-dimensional fractional Rayleigh–Stokes equations involving the Caputo derivative.
M. Hosseininia, M.H. Heydari, D. Baleanu, M. Bayram   +3 more
doaj   +1 more source