Results 11 to 20 of about 87,489 (268)
A Crank–Nicolson Compact Difference Method for Time-Fractional Damped Plate Vibration Equations
Axioms, 2022 This paper discusses the Crank–Nicolson compact difference method for the time-fractional damped plate vibration problems. For the time-fractional damped plate vibration equations, we introduce the second-order space derivative and the first-order time ...
Cailian Wu +3 more
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On a Fractional Operator Combining Proportional and Classical Differintegrals
Mathematics, 2020 The Caputo fractional derivative has been one of the most useful operators for modelling non-local behaviours by fractional differential equations. It is defined, for a differentiable function f ( t ) , by a fractional integral operator applied to
Dumitru Baleanu +2 more
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Integration formulae involving derivatives [PDF]
Mathematics of Computation, 1969 A method, developed by Hammer and Wicke, for deriving high precision integration formulae involving derivatives is modified. It is shown how such formulae may be simply derived in terms of well-known polynomials.
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Theorem on the differentiation of a composite function with a vector argument; pp. 195–200 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 The paper provides a theorem on the differentiation of a composite function with a vector argument. The theorem shows how the partial derivative of the total derivative of the composite function can be expressed through the total derivative of the ...
Vadim Kaparin, Ülle Kotta
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Quadrature formulas using derivatives [PDF]
Mathematics of Computation, 1965 1. H. MINEUR, Techniques de Calcul Num~rique d l'Usage des Mathe'maticiens, Astronomes, Physiciens et Ingenieurs. Suivi de Quatre Notes Par: Mme. Henri Berthod-Zaborowski, Jean Bouzitat, et Marcel Mayot, B6ranger, Paris, 1952. 2. M. ABRAMOWITZ & I.
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Fractal and Fractional, 2022 In this paper, efficient methods seeking the numerical solution of a time-fractional fourth-order differential equation with Caputo’s derivative are derived. The solution of such a problem has a weak singularity near the initial time t=0. The Caputo time-
Zhen Wang
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Engineering, MAthematics and Computer Science (EMACS) Journal, 2022 This paper discusses the derivation of Euler's formula. To obtain this model, the writer derives Euler's formula from ex+iy by first finding the norm and argument of ex+iy. In this derivation we substitute the norm and argument of ex+iy on complex numbers in polar coordinates, until we get the derivation of Euler's formula.
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Desert soil clay content estimation using reflectance spectroscopy preprocessed by fractional derivative. [PDF]
PLoS ONE, 2017 Effective pretreatment of spectral reflectance is vital to model accuracy in soil parameter estimation. However, the classic integer derivative has some disadvantages, including spectral information loss and the introduction of high-frequency noise.
Jingzhe Wang +6 more
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Derivation Power Sums of Even Integer Number Formula
مجلة بغداد للعلوم, 2013 This paper included derivative method for the even r power sums of even integer numbers formula to approach high even (r+2) power sums of even integer numbers formula so on we can approach from derivative odd r power sums of even integer numbers formula ...
Baghdad Science Journal
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Ulam-Type Stability Results for Variable Order Ψ-Tempered Caputo Fractional Differential Equations
Fractal and Fractional, 2023 An initial value problem for nonlinear fractional differential equations with a tempered Caputo fractional derivative of variable order with respect to another function is studied.
Donal O’Regan +2 more
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