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Existence and uniqueness results for initial value problem of nonlinear fractional integro‐differential equation on an unbounded domain in a weighted Banach space

Mathematical methods in the applied sciences, 2020
This article is concerned with the existence and uniqueness of solutions for nonlinear fractional integro‐differential equation on an unbounded domain in a weighted Banach space.
A. Boulfoul   +3 more
semanticscholar   +1 more source

Well-posedness of problem with parameter for an integro-differential equation

, 2020
A problem with parameter for an integro-differential equation is approximated by a problem with parameter for a loaded differential equation. The well-posedness of a problem with parameter for the integro-differential equation is established in the terms
A. Assanova, E. Bakirova, G. Vassilina
semanticscholar   +1 more source

Integro-Differential Equations

1992
The aim of this chapter is to extend some results of Chapters 1 – 7 concerning boundedness, convergence and quasiconvergence to a class of integro-differential equations with retarded argument which arises from phase synchronization problems. Our aim is to apply ordinary differential equation methods such as the Bakaev-Guzh technique and non-local ...
Gennadij A. Leonov   +2 more
openaire   +2 more sources

A compact finite difference scheme for the fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel

Numerical Methods for Partial Differential Equations, 2019
In this paper, a compact finite difference scheme is constructed and investigated for the fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel.
Da Xu, W. Qiu, Jing Guo
semanticscholar   +1 more source

Numerical scheme for solving singular fractional partial integro‐differential equation via orthonormal Bernoulli polynomials

International journal of numerical modelling, 2019
In this paper, an efficient matrix method based on 2D orthonormal Bernoulli polynomials are developed to obtain numerical solution of weakly singular fractional partial integro‐differential equations (FPIDEs).
Nasrin Samadyar, Farshid Mirzaee
semanticscholar   +1 more source

A novel second-order fitted computational method for a singularly perturbed Volterra integro-differential equation

International Journal of Computational Mathematics, 2019
In this paper, we deal with the second-order accurate homogeneous (non-hybrid) type difference scheme for solving a singularly perturbed first-order Volterra integro-differential equation.
Ömer Yapman, G. M. Amiraliyev
semanticscholar   +1 more source

A uniformly convergent numerical method for a singularly perturbed Volterra integro-differential equation

International Journal of Computational Mathematics, 2019
We consider a linear singularly perturbed Volterra integro-differential equation. Our aim is to design and analyse a finite difference method which is robust with respect to the perturbation parameter to solve this equation.
Bakulikira C. Iragi, J. Munyakazi
semanticscholar   +1 more source

On a nonclassical integro-differential equation [PDF]

open access: possibleDifferential Equations, 2015
We study an initial–boundary value problem for a nonclassical equation and obtain sufficient conditions for the time-local and time-global solvability. In the case of time-local (but nonglobal) solvability, we find upper and lower bounds for the solution lifespan.
openaire   +1 more source

Integro-Differential Equation

2015
Solving for the complete many-body wave function (instead of partial waves in a PH expansion), one gets an integro-differential equation (IDE). The IDE is derived from PH expansion method. Hence, IDE and PHEM are equivalent. Still IDE has certain advantages: its structure and complexity do not increase with the number of particles. Also, since there is
openaire   +2 more sources

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