Results 171 to 180 of about 36,538 (210)

Nonlinear Fredholm Integro-Differential Equations

2011
The linear Fredholm integral equations and the linear Fredholm integrodifferential equations were presented in Chapters 4 and 6 respectively. In Chapter 15, the nonlinear Fredholm integral equations were examined. It is our goal in this chapter to study the nonlinear Fredholm integro-differential equations [1–7] and the systems of nonlinear Fredholm ...
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A-PINN: Auxiliary physics informed neural networks for forward and inverse problems of nonlinear integro-differential equations

Journal of Computational Physics, 2022
Yi-Qing Ni
exaly  

Abstract Volterra Integro-Differential Equations

2015
PREFACE NOTATION INTRODUCTION PRELIMINARIES Vector-valued functions, closed operators and integration in sequentially complete locally convex spaces Laplace transform in sequentially complete locally convex spaces Operators of fractional differentiation, Mittag-Leffler and Wright functions (a k)-REGULARIZED C-RESOLVENT FAMILIES IN LOCALLY CONVEX SPACES
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Nonlinear Volterra Integro-Differential Equations

2011
It is well known that linear and nonlinear Volterra integral equations arise in many scientific fields such as the population dynamics, spread of epidemics, and semi-conductor devices. Volterra started working on integral equations in 1884, but his serious study began in 1896. The name integral equation was given by du Bois-Reymond in 1888.
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Generalized Volterra Integro-Differential Equations

2016
In this chapter we describe the Adomian decomposition method for generalized Volterra integro-differential equations of the second kind.
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Volterra-Fredholm Integro-Differential Equations

2011
The Volterra-Fredholm integro-differential equations [1–4] appear in two types, namely: $${u^{\left( k \right)}}\left( x \right) = f\left( x \right) + {\lambda _1}\int_a^x {{K_1}\left( {x,t} \right)u\left( t \right)dt + {\lambda _2}\int_a^b {{K_2}\left( {x,t} \right)u\left( t \right)dt} ,} $$ (9.1) and the mixed form $${u^{\left( k \right)
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Understanding Integro-Differential Equations

2023
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Integro-differential equations

1985
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A method for the numerical solution of the integro-differential equations

Applied Mathematics and Computation, 2007
Parviz Darania
exaly  

Hilfer fractional stochastic integro-differential equations

Applied Mathematics and Computation, 2018
Hamdy M Ahmed, Mahmoud M El-Borai
exaly