Results 11 to 20 of about 595,099 (300)

The Fractional Orthogonal Derivative [PDF]

Mathematics, 2015
This paper builds on the notion of the so-called orthogonal derivative, where an n-th order derivative is approximated by an integral involving an orthogonal polynomial of degree n.
Enno Diekema
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Fuzzy Generalized Conformable Fractional Derivative

Advances in Fuzzy Systems, 2020
We give a new definition of fuzzy fractional derivative called fuzzy conformable fractional derivative. Using this definition, we prove some results and we introduce new definition of generalized fuzzy conformable fractional derivative.
Atimad Harir, Said Melliani, Lalla Saadia Chadli   +2 more
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Differential equations with tempered Ψ-Caputo fractional derivative [PDF]

Mathematical Modelling and Analysis, 2021
In this paper we define a new type of the fractional derivative, which we call tempered Ψ−Caputo fractional derivative. It is a generalization of the tempered Caputo fractional derivative and of the Ψ−Caputo fractional derivative.
Milan Medveď, Eva Brestovanská
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Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations

Journal of Function Spaces, 2020
In this paper, we made improvement on the conformable fractional derivative. Compared to the original one, the improved conformable fractional derivative can be a better replacement of the classical Riemann-Liouville and Caputo fractional derivative in ...
Feng Gao, Chunmei Chi
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Application of Newton’s polynomial interpolation scheme for variable order fractional derivative with power-law kernel [PDF]

Scientific Reports
This paper, offers a new method for simulating variable-order fractional differential operators with numerous types of fractional derivatives, such as the Caputo derivative, the Caputo–Fabrizio derivative, the Atangana–Baleanu fractal and fractional ...
S Naveen, V Parthiban
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A New Truncated M-Fractional Derivative Type Unifying Some Fractional Derivative Types with Classical Properties [PDF]

International Journal of Analysis and Applications, 2018
We introduce a truncated $M$-fractional derivative type for $\alpha$-differentiable functions that generalizes four other fractional derivatives types recently introduced by Khalil et al., Katugampola and Sousa et al., the so-called conformable ...
J. Vanterler da C. Sousa, E. Capelas de Oliveira   +1 more
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Fractional Model for a Class of Diffusion-Reaction Equation Represented by the Fractional-Order Derivative

Fractal and Fractional, 2020
This paper proposes the analytical solution for a class of the fractional diffusion equation represented by the fractional-order derivative. We mainly use the Grunwald–Letnikov derivative in this paper.
Ndolane Sene
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A new generalized Hilfer-type fractional derivative with applications to space-time diffusion equation

Results in Physics, 2021
This paper is concerned to present and apply a new generalized fractional derivative, that is the Generalized Hilfer-type (GH) fractional derivative.
Tahir Ullah Khan, Muhammad Adil Khan, Yu-Ming Chu   +2 more
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Fractional calculus of periodic distributions [PDF]

, 2011
Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson, Khaula N. Khan, Khan, Khaula Naeem, Mcbride, Adam, Adam C. McBride, Wilson Lamb   +5 more
core   +3 more sources

Fractional Derivatives and Projectile Motion

Axioms, 2021
Projectile motion is studied using fractional calculus. Specifically, a newly defined fractional derivative (the Leibniz L-derivative) and its successor (Λ-fractional derivative) are used to describe the motion of the projectile.
Anastasios K. Lazopoulos, Dimitrios Karaoulanis   +1 more
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