Results 31 to 40 of about 39,585 (286)
Computational analysis of time-fractional models in energy infrastructure applications
Alexandria Engineering Journal, 2023 In this paper, we propose an effective numerical method to solve the one- and two-dimensional time-fractional convection-diffusion equations based on the Caputo derivative.
Imtiaz Ahmad +5 more
doaj +1 more source
Exact results for a fractional derivative of elementary functions
SciPost Physics, 2018 We present exact analytical results for the Caputo fractional derivative of a wide class of elementary functions, including trigonometric and inverse trigonometric, hyperbolic and inverse hyperbolic, Gaussian, quartic Gaussian, and Lorentzian ...
Gavriil Shchedrin, Nathanael C. Smith, Anastasia Gladkina, Lincoln D. Carr
doaj +1 more source
A mathematical model for COVID-19 transmission by using the Caputo fractional derivative
Chaos, Solitons & Fractals, 2020 Highlights • COVID-19 is transmitted from asymptomatic individuals to susceptible individuals.• COVID-19 is transmitted from symptomatic individuals to susceptible individuals.• Since R0=1.6 is greater than 1, the COVID-19 will spread exponentially.• If ...
N. Tuan, H. Mohammadi, S. Rezapour
semanticscholar +1 more source
ON THE MODEIFIED CAPUTO’S DERIVATIVE OPERATOR
, 2022 The main subject of this study coincides with the recently adapted methodology in the theory of univalent functions via applications of fractional calculus. The Caputo's definition of fractional derivative of order 𝛼 has not been obviously applied in the field. However, it plays a vital role in other areas like physics and engineering due to its simple
openaire +1 more source
Functional Differential Equations Involving the ψ-Caputo Fractional Derivative [PDF]
Fractal and Fractional, 2020 This paper is devoted to the study of existence and uniqueness of solutions for fractional functional differential equations, whose derivative operator depends on an arbitrary function. The introduction of such function allows generalization of some known results, and others can be also obtained.
openaire +3 more sources
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
Introduction to the fractional-order chaotic system under fractional operator in Caputo sense
Alexandria Engineering Journal, 2021 In this paper, we consider a new fractional-order chaotic system described by the Caputo fractional derivative. This paper’s main objective is to analyze the bifurcation maps to detect the chaotic regions for a new fractional-order chaotic system.
Ndolane Sene
doaj +1 more source
Eigenvalue comparison for fractional boundary value problems with the Caputo derivative
, 2014 We apply the theory for u0-positive operators to obtain eigenvalue comparison results for a fractional boundary value problem with the Caputo derivative.
J. Henderson, N. Kosmatov
semanticscholar +1 more source
Boundary Value Problems, 2017 By mixing the idea of 2-arrays, continued fractions, and Caputo-Fabrizio fractional derivative, we introduce a new operator entitled the infinite coefficient-symmetric Caputo-Fabrizio fractional derivative.
Dumitru Baleanu +2 more
doaj +1 more source
Mathematical methods in the applied sciences, 2021 In this paper, for the first time, the distributed‐order time‐fractional forced Korteweg–de Vries equation is studied. We use a numerical method based on the shifted Legendre operational matrix of distributed‐order fractional derivative with Tau method ...
M. Derakhshan, A. Aminataei
semanticscholar +1 more source