Results 11 to 20 of about 1,913,284 (306)
Application of Newton’s polynomial interpolation scheme for variable order fractional derivative with power-law kernel [PDF]
Scientific ReportsThis 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 Generalized Definition of the Fractional Derivative with Applications [PDF]
Mathematical Problems in Engineering, 2021 A generalized fractional derivative (GFD) definition is proposed in this work. For a differentiable function expanded by a Taylor series, we show that
M. Abu-shady, Mohammed K. A. Kaabar
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Operational Calculus for the General Fractional Derivative and Its Applications [PDF]
Fractional Calculus and Applied Analysis, 2021 In this paper, we first address the general fractional integrals and derivatives with the Sonine kernels that possess the integrable singularities of power function type at the point zero.
Yuri Luchko
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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 +1 more
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Mathematical Modelling and Numerical Simulation with Applications, 2023 The objective of this manuscript is to present a novel approach to modeling influenza A disease dynamics by incorporating the Caputo-Fabrizio (CF) fractional derivative operator into the model.
F. Evirgen +3 more
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On Hilfer cotangent fractional derivative and a particular class of fractional problems
AIMS Mathematics, 2023 In this work, a novel Hilfer cotangent fractional derivative is presented. This derivative combines the characteristics of the Riemann-Liouville cotangent fractional derivative and the Caputo cotangent fractional derivative.
L. Sadek, Tania A. Lazăr
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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 +2 more
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A Cotangent Fractional Derivative with the Application
Fractal and Fractional, 2023 In this work, we present a new type of fractional derivatives (FD) involving exponential cotangent function in their kernels called Riemann–Liouville Dσ,γ and Caputo cotangent fractional derivatives CDσ,γ, respectively, and their corresponding integral ...
L. Sadek
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Bilateral Tempered Fractional Derivatives [PDF]
Symmetry, 2021 The bilateral tempered fractional derivatives are introduced generalising previous works on the one-sided tempered fractional derivatives and the two-sided fractional derivatives. An analysis of the tempered Riesz potential is done and showed that it cannot be considered as a derivative.
Manuel Duarte Ortigueira +1 more
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Open Physics, 2021 In this article, thin film flow of non-Newtonian pseudo-plastic fluid is investigated on a vertical wall through homotopy-based scheme along with fractional calculus.
Qayyum Mubashir +5 more
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