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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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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Existence results for abstract partial neutral integro-differential equation with unbounded delay [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2009 In this paper we study the existence and regularity of mild solutions for a class of abstract partial neutral integro-differential equations with unbounded delay.
Eduardo Hernandez +2 more
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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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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.
Khadijeh Sadri +4 more
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Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization. [PDF]
Int J Numer Method Biomed EngWe present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Afas KC, Goldman D.
europepmc +2 more sources
International Journal of Differential Equations, 2022 The findings indicate an application of a new method of expansion of the forms Z′/Z and 1/Z to determine the solutions for wave of the solitary nature in the 2+1-dimensional modified form for nonlinear integro-partial differential equations.
Daba Meshesha Gusu, Shelama Diro
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Approximate Solution For Multi Dimensional Delay Fredholm Integro Partial Differential Equation By Using B.Spline Polynomials [PDF]
Engineering and Technology Journal, 2010 The main purpose of this work is to devote B.spline with two variablesas basis functions to find approximate solution of Multi dimensional delayfredholm integro partial differential equations .Three numerical examples are given for determining the ...
Shymaa Hussain Salih
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Integro-differential equations with bounded operators in Banach spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
V.E. Fedorov, A.D. Godova, B.T. Kien
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Effect of non-stationary external forces on vibrations of composite pipelines conveying fluid [PDF]
E3S Web of Conferences, 2023 The effect of non-stationary external forces on the vibration of pipelines made of composite materials is investigated in the paper. A mathematical model of composite pipeline vibration is developed, considering the viscosity properties of the structure ...
Verlan A.A. +4 more
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