Results 21 to 30 of about 2,052,042 (321)
Analytical Solutions of a Class of Fluids Models with the Caputo Fractional Derivative
Fractal and Fractional, 2022 This paper studies the analytical solutions of the fractional fluid models described by the Caputo derivative. We combine the Fourier sine and the Laplace transforms.
N. Sene
semanticscholar +1 more source
Fractal and Fractional, 2022 The Langevin system is an important mathematical model to describe Brownian motion. The research shows that fractional differential equations have more advantages in viscoelasticity.
Kaihong Zhao
semanticscholar +1 more source
On Fractional Geometry of Curves
Fractal and Fractional, 2021 Fractional Differential Geometry of curves is discussed, with the help of a new fractional derivative, the Λ-fractional derivative, with the corresponding Λ-fractional space.
Konstantinos A. Lazopoulos +1 more
doaj +1 more source
A New Conformable Fractional Derivative and Applications
International Journal of Differential Equations, 2021 This paper is motivated by some papers treating the fractional derivatives. We introduce a new definition of fractional derivative which obeys classical properties including linearity, product rule, quotient rule, power rule, chain rule, Rolle’s theorem,
A. Kajounı +3 more
semanticscholar +1 more source
Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative
Alexandria Engineering Journal, 2020 The present paper describes the mathematical modeling and dynamics of a novel corona virus (2019-nCoV). We describe the brief details of interaction among the bats and unknown hosts, then among the peoples and the infections reservoir (seafood market ...
M. Khan, A. Atangana
semanticscholar +1 more source
, 2021 In this work, we study an initial value problem for a system of nonlinear parabolic pseudo equations with Caputo fractional derivative. Here, we discuss the continuity which is related to a fractional order derivative.
E. Karapınar, H. Binh, N. Luc, N. Can
semanticscholar +1 more source
Intertwining Certain Fractional Derivatives [PDF]
Potential Analysis, 2011 We obtain an intertwining relation between some Riemann-Liouville operators of order a in (1,2) connecting through a certain multiplicative identity in law the one-dimensional marginals of reflected completely asymmetric a-stable Lévy processes.
Patie, Pierre, Simon, Thomas
openaire +3 more sources
A fractional spline collocation method for the fractional order logistic equation [PDF]
, 2017 We construct a collocation method based on the fractional B-splines to solve a nonlinear differential problem that involves fractional derivative, i.e. the fractional order logistic equation.
Pezza, L., Pitolli, F.
core +1 more source
Fractional Coins and Fractional Derivatives [PDF]
Abstract and Applied Analysis, 2013 This paper discusses the fundamentals of negative probabilities and fractional calculus. The historical evolution and the main mathematical concepts are discussed, and several analogies between the two apparently unrelated topics are established. Based on the new conceptual perspective, some experiments are performed shading new light into possible ...
openaire +5 more sources
A comment on a controversial issue: A generalized fractional derivative cannot have a regular kernel [PDF]
, 2020 The problem whether a given pair of functions can be used as the kernels of a generalized fractional derivative and the associated generalized fractional integral is reduced to the problem of existence of a solution to the Sonine equation.
A. Hanyga
semanticscholar +1 more source