Results 51 to 60 of about 18,586 (197)
Hacettepe Journal of Mathematics and Statistics, 2016 Summary: In this paper, a numerical method is developed for solving linear and nonlinear integro-partial differential equations in terms of the two variables Jacobi polynomials. First, some properties of these polynomials and several theorems are presented then a generalized approach implementing a collocation method in combination with two dimensional
BORHANİFAR, Abdollah, SADRİ, Khadijeh
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, 2012 In this article we study a class of stochastic functional differential equations driven by L\'{e}vy processes (in particular, $\alpha$-stable processes), and obtain the existence and uniqueness of Markov solutions in small time intervals.
Zhang, Xicheng
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Asymptotically Almost Periodic Solutions for Abstract Partial Neutral Integro-Differential Equation
Advances in Difference Equations, 2010 The existence of asymptotically almost periodic mild solutions for a class of abstract partial neutral integro-differential equations with unbounded delay is studied.
Guzzo SandroM +2 more
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Nonlocal semilinear evolution equations without strong compactness: theory and applications [PDF]
, 2013 A semilinear multivalued evolution equation is considered in a reflexive Banach space. The nonlinear term has convex, closed, bounded values and a weakly sequentially closed graph when restricted to its second argument.
Irene Benedetti +2 more
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Quenching the Hubbard Model: Comparison of Nonequilibrium Green's Function Methods
Contributions to Plasma Physics, EarlyView.ABSTRACT We benchmark nonequilibrium Green's function (NEGF) approaches for interaction quenches in the half‐filled Fermi–Hubbard model in one and two dimensions. We compare fully self‐consistent two‐time Kadanoff–Baym equations (KBE), the generalized Kadanoff–Baym ansatz (GKBA), and the recently developed NEGF‐based quantum fluctuations approach (NEGF‐
Jan‐Philip Joost +3 more
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Cubic B-splines collocation method for a class of partial integro-differential equation
Alexandria Engineering Journal, 2018 In this paper, a numerical method is proposed to estimate the solution of initial-boundary value problems for a class of partial integro-differential equations.
M. Gholamian, J. Saberi-Nadjafi
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International Journal for Numerical Methods in Fluids, EarlyView.This work aims to develop a generalised and efficient semi‐analytical method that combines the Laplace decomposition method with Pade approximation (LDMPA) to solve multidimensional nonlinear integro‐partial differential equation. For a one‐dimension case, explicit (closed‐form) solutions for the number density functions are derived for the first time.
Somveer Keshav +4 more
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, 2011 This paper describes a novel numerical approach to find the statistics of the non-stationary response of scalar non-linear systems excited by L\'evy white noises.
Cottone G Di Paola M Marino F +14 more
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Journal of Pure & Applied Sciences, 2021 This paper depends on some concepts related to the triple Shehu transform; and how its various properties can be used to solve three-dimensional linear Volterra Integro-Partial Differential Equations; in terms of obtaining the exact solutions. Some examples will be studied to support the effectiveness of this transform.
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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