Results 41 to 50 of about 977,904 (291)
Documenta Mathematica, 2015 Auslander's formula shows that any abelian category \mathsf C is equivalent to the category of coherent functors on \mathsf C modulo the Serre subcategory of all ...
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Entropy, 2023 In this study, we investigate the position and momentum Shannon entropy, denoted as Sx and Sp, respectively, in the context of the fractional Schrödinger equation (FSE) for a hyperbolic double well potential (HDWP).
R. Santana-Carrillo +3 more
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Formulae for the Derivatives of Heat Semigroups
Journal of Functional Analysis, 1994 We use a basic martingale method to show a differentiation formula for the derivatives $$d(P_tf)(x_0)(v_0)={1\over t} E f(x_t) \int_0^t \langle Y(x_s)(v_s),dB_t\rangle_{R^m}.$$ These are proved first on $R^n$, then on manifolds. Afterwards for solutions of heat equations on differential forms, and a second order formula.
Elworthy, K.D., Li, X.M.
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Caputo-Fabrizio approach to numerical fractional derivatives
Bibechana, 2023 Fractional calculus is an essential tool in every area of science today. This work gives the quadratic interpolation-based L1-2 formula for the Caputo-Fabrizio derivative, a numerical technique for approximating the fractional derivative.
Shankar Pariyar, Jeevan Kafle
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Derivation of Characteristic Formulae
Electronic Notes in Theoretical Computer Science, 1998 AbstractThis paper shows how modal mu-calculus formulae characterizing finite-state processes up to strong or weak bisimulation can be derived directly from the well-known greatest fixpoint characterizations of the bisimulation relations. Our derivation simplifies earlier proofs for the strong bisimulation case and, by virtue of derivation, immediately
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Derivative Formula for Singular McKean-Vlasov SDEs [PDF]
, 2023 The Bismut formula is established for the intrinsic derivative of singular McKean-Vlasov SDEs, where the noise coefficient belongs to a local Sobolev space, and the drift contains a locally integrable time-space term as well as a time-space-distribution ...
Wang, Feng-Yu
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Fractal and Fractional, 2019 In this paper, the approximate solutions of the fractional diffusion equations described by the fractional derivative operator were investigated. The homotopy perturbation Laplace transform method of getting the approximate solution was proposed.
Ndolane Sene, Aliou Niang Fall
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A Survey on Recent Results on Lyapunov-Type Inequalities for Fractional Differential Equations
Fractal and Fractional, 2022 This survey paper is concerned with some of the most recent results on Lyapunov-type inequalities for fractional boundary value problems involving a variety of fractional derivative operators and boundary conditions.
Sotiris K. Ntouyas +2 more
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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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Numerical Scheme for Solving Time–Space Vibration String Equation of Fractional Derivative
Mathematics, 2020 In this paper, we present a numerical scheme and alternating direction implicit scheme for the one-dimensional time–space fractional vibration equation.
Asmaa M. Elsayed, Viktor N. Orlov
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