نتایج جستجو برای: system of integral equations

تعداد نتایج: 21368231  

The purpose of this paper is to present some coupled fixed point results on a metric space endowed with two $b$-metrics. We shall apply a fixed point theorem for an appropriate operator on the Cartesian product of the given spaces endowed with directed graphs. Data dependence, well-posedness and Ulam-Hyers stability are also studied. The results obtained here will be applied to prove the existe...

Journal: :international journal of nonlinear analysis and applications 2015
mohsen rabbani

in this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. but we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as legendre ...

Journal: :international journal of nonlinear analysis and applications 0
javad damirchi department of mathematics, faculty of mathematics, statistics and computer science, semnan university,semnan, iran

in this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the lipschitz type condition. moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.

Journal: :Abstract and Applied Analysis 2014

Journal: :Journal of Mathematical Analysis and Applications 2011

N. Khalilzadeh , S. Khezerloo , T. Allahviranloo ,

One of the methods for solving definite integrals is modified trapezoid method, which is obtained by using Hermitian interpolation (see e.g. [12]). In this article, we have used modified trapezoid quadrature method and Generalized differential to solve the Fredholm fuzzy integral equations of the second kind. This method leads to solve fuzzy linear system. Finally the proposed method is illustr...

The first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. This method can be applied to non integrable equations as well as to integrable ones. In this paper, the first integral method is used to construct exact solutions of the 2D Ginzburg-Landau equation.

Journal: :computational methods for differential equations 0
ahmad neirameh department of mathematics,gonbad university

solitary wave solutions to the broer-kaup equations and approximate long water wave equa-tions are considered challenging by using the rst integral method.the exact solutions obtainedduring the present investigation are new. this method can be applied to nonintegrable equa-tions as well as to integrable ones.

2009
Khosrow Maleknejad

Abstract: System of integral equations has been solved in many papers, especially, system of integral equations with degenerate kernels has been solved with Adomian’s decomposition method by some authors. In present paper, we try to solve system of integral equations by using collocation method with Legendre polynomials which is more efficient and needs less computations than Adomian’s decompos...

Journal: :journal of sciences islamic republic of iran 0

in this paper, we use the continuous legendre wavelets on the interval [0,1] constructed by razzaghi m. and yousefi s. [6] to solve the linear second kind integral equations. we use quadrature formula for the calculation of the products of any functions, which are required in the approximation for the integral equations. then we reduced the integral equation to the solution of linear algebraic ...

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