Results 11 to 20 of about 90,046 (266)
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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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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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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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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The Derivations of Temporal Logic Formulas [PDF]
Formalized Mathematics, 2012 Summary This is a preliminary article to prove the completeness theorem of an extension of basic propositional temporal logic. We base it on the proof of completeness for basic propositional temporal logic given in [12]. We introduce n-ary connectives and prove their properties. We derive temporal logic formulas.
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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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Analogues of Jacobi’s derivative formula [PDF]
The Ramanujan Journal, 2015 In this paper, we obtain analogues of Jacobi's derivative formula in terms of the theta constants with rational characteristics. For this purpose, we use the arithmetic formulas of the number of representations of a natural number $n,\,\,(n=1,2,\ldots)$ as the sum of two squares, or the sum of a square and twice a square.
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Thomae’s derivative formulae for trigonal curves [PDF]
Letters in Mathematical Physics, 2019 21 pages, mainly added two references and Remark 3 ...
Enolski, Victor +2 more
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New Fractional Cancer Mathematical Model via IL-10 Cytokine and Anti-PD-L1 Inhibitor
Fractal and Fractional, 2023 In this study, we explore a recent biological model created to analyze the behavior of cancer cells by administering a dose of a drug containing anti-PD-L1 and IL-10 with the Caputo and Atangana–Baleanu derivative in the Caputo sense (ABC).
Esmehan Uçar, Necati Özdemir
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