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Quantum stochastic convolution cocycles II [PDF]
, 2008 Schurmann's theory of quantum Levy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum groups and operator space coalgebras.
Skalski, Adam G., Lindsay, J. Martin
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International Journal of Analysis and Applications, 2023 This paper proposes a framework based on the celebrated transform of Mellin type (MT) for the analytic solution of the Black-Scholes-Merton European Power Put Option Model (BSMEPPOM) on Dividend Yield (DY) with Modified-Log-Power Payoff Function (MLPPF ...
S.E. Fadugba +4 more
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Mathematics, 2020 In this work, properties of one- or two-parameter Mittag-Leffler functions are derived using the Laplace transform approach. It is demonstrated that manipulations with the pair direct–inverse transform makes it far more easy than previous methods to ...
Alexander Apelblat
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Convolution operators and the discrete Laplacian [PDF]
, 2009 PhDIn this thesis, we obtain new results for convolution operators on homogeneous spaces and give applications to the Laplacian on a homogeneous graph. Some of these results have been published in joint papers [13, 14] with my supervisor.
Chen, Chung-Chuan
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Some properties of a new general triple complex integral transform [PDF]
مجلة جامعة الانبار للعلوم الصرفةThis paper investigates a novel triple complex integral transform, highlighting its properties and its applications to functional, integral, and partial differential equations.
Nada Mohammed +2 more
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Abel's Integral Equation as a Convolution Transform [PDF]
Proceedings of the American Mathematical Society, 1956 the first equation to be treated and solved as an integral equation, has an extensive literature, dealing on the one hand with properties of the functions involved, and on the other hand with the solution, and conditions for solubility of the equation. In the first category one might cite, in the modern spirit, the memoirs of Hardy [1, pp.
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Alexandria Engineering Journal, 2019 The present work focuses on formulating a numerical scheme for approximation of Volterra integral equations with highly oscillatory Bessel kernels. The application of Laplace transform reduces integral equations into algebraic equations.
Marjan Uddin, Muhammad Taufiq
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Integral Transforms of Fourier Cosine and Sine Generalized Convolution Type [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 Integral transforms of the formf(x)↦g(x)=(1−d2/dx2){∫0∞k1(y)[f(|x+y−1|)+f(|x−y+1|)−f(x+y+1)−f(|x−y−1|)]dy+∫0∞k2(y)[f(x+y)+f(|x−y|)]dy}fromLp(ℝ+)toLq(ℝ+),(1≤p≤2,p−1+q−1=1)are studied. Watson's and Plancherel's theorems are obtained.
Xuan Thao Nguyen +2 more
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Integral transforms, convolution products, and first variations
International Journal of Mathematics and Mathematical Sciences, 2004 We establish the various relationships that exist among the integral transform ℱα,βF, the convolution product (F∗G)α, and the first variation δF for a class of functionals defined on K[0, T], the space of complex‐valued continuous functions on [0, T] which vanish at zero.
Kim, Bong Jin +2 more
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Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method
Journal of Function Spaces, 2014 The aim of this study is to give a good strategy for solving some linear and nonlinear partial differential equations in engineering and physics fields, by combining Laplace transform and the modified variational iteration method. This method is based on
Eman M. A. Hilal, Tarig M. Elzaki
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