Results 21 to 30 of about 2,481 (254)
Approximation of the pth Roots of a Matrix by Using Trapezoid Rule
International Journal of Mathematics and Mathematical Sciences, 2012 The computation of the roots of positive definite matrices arises in nuclear magnetic resonance, control theory, lattice quantum chromo-dynamics (QCD), and several other areas of applications.
Amir Sadeghi, Ahmad Izani Md. Ismail
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Mathematical Modelling and Analysis, 2019 Considering a fractional integro-differential equation with nonlocal conditions involving a general form of Hilfer fractional derivative with respect to another function.
Mohammed S. Abdo +2 more
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KERNEL DETERMINATION PROBLEM FOR ONE PARABOLIC EQUATION WITH MEMORY
Ural Mathematical Journal, 2023 This paper studies the inverse problem of determining a multidimensional kernel function of an integral term which depends on the time variable \(t\) and \((n-1)\)-dimensional space variable \(x'= \left(x_1,\ldots, x_ {n-1}\right)\) in the \(n ...
Durdimurod K. Durdiev +1 more
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Lagrangian flows for vector fields with gradient given by a singular integral [PDF]
, 2013 We prove quantitative estimates on ows of ordinary di erential equations with vector field with gradient given by a singular integral of an L1 function.
Crippa, Gianluca, Bouchut, Francois
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An analog of the Cauchy formula for certain Beltrami equations
Учёные записки Казанского университета: Серия Физико-математические науки, 2019 The Beltrami differential equations are intrinsic generalizations of the Cauchy–Riemann system in complex analysis. Their solutions generalize holomorphic functions. As known, solutions to many problems of the complex analysis are based on application of
D.B. Katz, B.A. Kats
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Differential equations with tempered Ψ-Caputo fractional derivative
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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Relationship Between Cauchy Integral Theorem and Residue Theorems
Highlights in Science, Engineering and Technology, 2023 Cauchy integral theorem belongs to an extremely important part of complex functions, which is a fundamental bridge, and people can derive Cauchy integral theorem from the residue theorem. Cauchy's integral theorem is generally applied in many higher mathematics, is an important theorem concerning path integrals of fully pure functions.
Jiaming Guo, Biran Song
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A brief proof of Cauchy’s integral theorem [PDF]
Proceedings of the American Mathematical Society, 1971 A short proof of Cauchy’s theorem for circuits homologous to 0 is presented. The proof uses elementary local properties of analytic functions but no additional geometric or topological arguments.
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On the regularization of Cauchy-type integral operators via the density interpolation method and applications [PDF]
, 2021 This paper presents a regularization technique for the high order efficient numerical evaluation of nearly singular, principal-value, and finite-part Cauchy-type integral operators.
Gomez, Vicente, Perez-Arancibia, Carlos
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The Logic of Quantum Mechanics Derived from Classical General Relativity [PDF]
, 1997 For the first time it is shown that the logic of quantum mechanics can be derived from Classical Physics. An orthomodular lattice of propositions, characteristic of quantum logic, is constructed for manifolds in Einstein's theory of general relativity. A
Hadley, Mark J.
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