Results 71 to 80 of about 372,508 (154)
Psi-Caputo Logistic Population Growth Model
Journal of Mathematics, 2021 This article studies modeling of a population growth by logistic equation when the population carrying capacity K tends to infinity. Results are obtained using fractional calculus theories.
Muath Awadalla +2 more
doaj +1 more source
Nonlinear fractional cone systems with the Caputo derivative
Applied Mathematics Letters, 2012 AbstractNonlinear fractional cone systems involving the Caputo fractional derivative are considered. We establish sufficient conditions for the existence of at least one cone solution to such systems. Sufficient conditions for the unique existence of the cone solution to a nonlinear fractional cone system are given.
Ewa Girejko +2 more
openaire +2 more sources
Energy Science &Engineering, EarlyView.ABSTRACT This attempt examines the heat transfer enhancement from unsteady bioconvective Maxwell nanofluid flow under the incidence of solar radiation influenced by viscous dissipation and chemical reaction through a porous medium. The nanofluid contains silver and titanium alloy hybrid nanoparticles with gyrotactic micro‐organisms in ethylene glycol ...
Bhupendra K. Sharma +4 more
wiley +1 more source
Alexandria Engineering Journal, 2023 In this research paper, the third-order fractional partial differential equation (FPDE) in the sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional derivative is investigated for the first time. The importance of the
Shorish Omer Abdulla +2 more
doaj
Analysis of Nonlinear Fractional Differential Equations Involving Atangana-Baleanu-Caputo Derivative [PDF]
, 2020 In the present paper, we determine the estimations on Atangana-Baleanu-Caputo fractional derivative at extreme points. With the assistance of the estimations obtained, we derive the comparison results. Peano's type existence results established for nonlinear fractional differential equations involving Atangana-Baleanu-Caputo fractional derivative.
arxiv +1 more source
On a New Modification of the Erdélyi–Kober Fractional Derivative
Fractal and Fractional, 2021 In this paper, we introduce a new Caputo-type modification of the Erdélyi–Kober fractional derivative. We pay attention to how to formulate representations of Erdélyi–Kober fractional integral and derivatives operators.
Zaid Odibat, Dumitru Baleanu
doaj +1 more source
Uniqueness for weak solutions of parabolic equations with a fractional time derivative
, 2018 We prove uniqueness for weak solutions to abstract parabolic equations with the fractional Marchaud or Caputo time derivative. We consider weak solutions in time for divergence form equations when the fractional derivative is transferred to the test ...
Allen, Mark
core +1 more source
An epidemiological MSEIR model described by the Caputo fractional derivative [PDF]
International Journal of Dynamics and Control, 2018 A fractional MSEIR model is presented, involving the Caputo fractional derivative. The equilibrium points and the basic reproduction number are computed. An analysis of the local asymptotic stability at the disease free equilibrium is given. Finally a numerical simulation, using Matlab based on optimization techniques, of the varicella outbreak among ...
Ricardo Almeida +3 more
openaire +3 more sources
Mathematical Methods in the Applied Sciences, EarlyView.The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang +5 more
wiley +1 more source
A new Definition of Fractional Derivative and Fractional Integral [PDF]
Kirkuk Journal of Science, 2018 In this paper, we introduce three different definitions of fractional derivatives, namely Riemann-Liouville derivative, Caputo derivative and the new formula Caputo expansion formula, and some basics properties of these derivatives are discussed.
Ahmed M. Kareem
doaj +1 more source