Asymptotically Almost Periodic Solutions for Abstract Partial Neutral Integro-Differential Equation [PDF]
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.
Marcos N. Rabelo +2 more
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Computational Wavelet Method for Multidimensional Integro-Partial Differential Equation of Distributed Order [PDF]
, 2022 This article provides an effective computational algorithm based on Legendre wavelet (LW) and standard tau approach to approximate the solution of multi-dimensional distributed order time-space fractional weakly singular integro-partial differential equation (DOT-SFWSIPDE).
Y. Jeevan Nagendra Kuma +3 more
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Exact solutions of (1 + 1)-dimensional integro-differential Ito, KP hierarchy, CBS, MCBS and modified KdV-CBS equations [PDF]
PLoS ONE, 2023 The present study computes the Lie symmetries and exact solutions of some problems modeled by nonlinear partial differential equations. The (1 + 1)-dimensional integro-differential Ito, the first integro-differential KP hierarchy, the Calogero ...
Amina Amin, Imran Naeem, Adnan Khan
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Numerical Analysis of Iterative Fractional Partial Integro-Differential Equations [PDF]
Journal of Mathematics, 2022 Many nonlinear phenomena are modeled in terms of differential and integral equations. However, modeling nonlinear phenomena with fractional derivatives provides a better understanding of processes having memory effects.
Hayman Thabet +2 more
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Finite Difference Method for Solving Partial Integro-Differential Equations [PDF]
پژوهشهای ریاضی, 2020 Introduction In this paper, we have introduced a new method for solving a class of the partial integro-differential equation with the singular kernel by using the finite difference method.
Majid Erfanian, Hamed Zeidabadi
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Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G
Advances in Mathematical Physics, 2022 In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G.
Daba Meshesha Gusu, Chala Bulo
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Non-linear degenerate integro-partial differential evolution equations related to geometric Lévy processes and applications to backward stochastic differential equations [PDF]
Stochastics and Stochastic Reports, 2004 We prove a comparison principle for unbounded semicontinuous viscosity sub- and supersolutions of non-linear degenerate parabolic integro-partial differential equations coming from applications in mathematical finance in which geometric Levy processes act as the underlying stochastic processes for the assets dynamics. As a consequence of the “geometric
Anna Lisa Amadori +2 more
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On the stability of some stochastic integro partial differential equations
International Journal of Contemporary Mathematical Sciences, 2007 Stochastic integro partial differential equations of the form; du(x, t )= n i=1 ∂ 2 u(x, t) ∂x 2 dt + F (u(x, t) ,x , t)dt + t 0 K(t − θ)u(x, θ)dθdt +[ f (t)u(x, t )+ g(x, t)]dW (t), are considered, where {W (t ): t ≥ 0} is a standard one-dimensional Wiener process and the kernel K decreases to zero non-exponentially.
Kh. El-Said El-Nadi
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A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels. [PDF]
HeliyonVolterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation category.
Sadri K +4 more
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Review of: "New adaptative numerical algorithm for solving partial integro-differential equations" [PDF]
, 2023 Murali Mohan Kumar Palli
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