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Fredholm integro-differential equation
Journal of Soviet Mathematics, 1993See the review in Zbl 0674.65107.
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Collocation Methods for Integro-Differential Equations
SIAM Journal on Numerical Analysis, 1977In this note we extend the work of de Boor and Swartz (SIAM J. Numer. Anal., 10 (1973), pp. 582-606) on the solution of two-point boundary value problems by collocation. In particular, we are concerned with boundary value problems described by integro-differential equations involving derivatives of order up to and including m with m boundary conditions.
Hangelbroek, Rutger J. +2 more
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Singularly Perturbed Volterra Integro-differential Equations
Quaestiones Mathematicae, 2002Several investigations have been made on singularly perturbed integral equations. This paper aims at presenting an algorithm for the construction of asymptotic solutions and then provide a proof asymptotic correctness to singularly perturbed systems of Volterra integro-differential equations.
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Fractional Integro-Differential Equations
2018Fractional calculus is a generalization of the classical differentiation and integration of non-integer order. Fractional calculus is as old as differential calculus.
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Fredholm Integro-Differential Equations
2011In Chapter 2, the conversion of boundary value problems to Fredholm integral equations was presented. However, the research work in this field resulted in a new specific topic, where both differential and integral operators appeared together in the same equation.
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Symmetries of integro-differential equations
Reports on Mathematical Physics, 2001A new general method is presented for the determination of Lie symmetry groups of integro-differential equation. The suggested method is a natural extension of the Ovsiannikov method developed for differential equations. The method leads to important applications for instance to the Vlasov-Maxwell equations.
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Volterra Integro-Differential Equations
2011Volterra studied the hereditary influences when he was examining a population growth model. The research work resulted in a specific topic, where both differential and integral operators appeared together in the same equation. This new type of equations was termed as Volterra integro-differential equations [1–4], given in the form $${u^{\left( n ...
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Nonlinear Fredholm Integro-Differential Equations
2011The 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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On analysis of the fuzzy fractional order Volterra-Fredholm integro-differential equation
AEJ - Alexandria Engineering Journal, 2021Aman Ullah, Shabir Ahmad, Kamal Shah
exaly
Abstract Volterra Integro-Differential Equations
2015PREFACE 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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