# [PDF] Top 20 Solutions of nonlinear integral equations and their application to singular perturbation problems

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### Solutions of nonlinear integral equations and their application to singular perturbation problems

... boundary layer are given for x and x 1 • It is characteristic of these asymptotic expansions to consist of parts that may be computed by using only ordinary pert[r] ... See full document

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### An Application of Differential Transform Method in Singular Perturbation Problems

... numerical solutions of singular perturbation ...value singular perturbation ...exact solutions to demonstrate the reliability and efficiency of the method in solving the ... See full document

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### Positive solutions for singular coupled integral boundary value problems of nonlinear higher order fractional q difference equations

... positive solutions for boundary value problems involving nonlinear fractional diﬀerential equations; see [–] and references cited ...value problems for a coupled system of non- linear ... See full document

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### Positive solutions for the singular nonlocal boundary value problems involving nonlinear integral conditions

... multiple solutions to singular positone boundary value ...value problems singular in the dependent ...Diﬀerential Equations: Ordinary Diﬀerential Equations, ... See full document

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### Analysis of Abel-type nonlinear integral equations with weakly singular kernels

... Abel-type integral equations are associated with a wide range of physical problems such as heat transfer [], nonlinear diﬀusion [], propagation of nonlinear waves [], and they can ... See full document

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### Solvability for system of nonlinear singular differential equations with integral boundary conditions

... positive solutions for nth order boundary value problems with dif- ferent kinds of boundary conditions for system (see [–] and the references therein), results for the system ... See full document

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### Existence of multiple positive solutions for singular boundary value problems of nonlinear fractional differential equations

... the nonlinear fractional diﬀerential equation boundary value problem D q 0+ u(t) = f (t,u(t)), t ∈ J := [0, 1], u(0) = u (1) = 0, where 1 < q ≤ 2 is a real number, and D q 0+ is the standard Riemann-Liouville ... See full document

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### Positive solutions to singular Dirichlet type boundary value problems of nonlinear fractional differential equations

... Positive solutions for nonlinear fractional semipositone diﬀerential equation with nonlocal boundary ...positive solutions of a system of higher order fractional boundary value problem with ... See full document

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### Exact solutions of nonlinear interval Volterra integral equations

... real problems that modeled by Volterra integral equa- tions, for example, in ﬂuid mechanics, bio-mechanics [16, 24, ...solve nonlinear equations like as ﬁnite diﬀer- ence method, ﬁnite element ... See full document

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### Nonlinear unsteady flow problems by multidimensional singular integral representation analysis

... of nonlinear multidimensional singular integral equa- tions because of their application to the solution of modern and complicated problems of solid and ﬂuid mechanics ...Such ... See full document

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### 1.Introduction In recent years, singular integral equations arise in many problems of

... µθ − λ ∫ − − θ = , ( 0 < < υ 1 ) . (5.2 T he N um erical R esults T he N um erical R esults T he N um erical R esults: T he N um erical R esults Maple programm is used to compute the exact and approximate ... See full document

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### Positive solutions for singular boundary value problems involving integral conditions

... diﬀerential equations come from many areas of applied mathematics and physics ...value problems have been extensively considered in a lot of literature [, , , ], since they model many physical phenomena ... See full document

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### Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions

... Riemann-Stieltjes integral with a signed measure, in which A : [, ] → R is a function of bounded ...diﬀerential equations have attracted more and more attention from the re- search communities due to ... See full document

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### Applications of Singular Perturbation Techniques to Control Problems

... of Nonlinear Systems In the preceding three sections approximations of both the optimal feedback control and the optimal trajectory consisted of slow and fast ...Riccati equations or two-point boundary ... See full document

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### Mixture of a New Integral Transform and Homotopy Perturbation Method for Solving Nonlinear Partial Differential Equations

... new integral transform is derived from the classical Fourier ...new integral transform [3] was intro- duced by Artion Kashuri and Associate Professor Akli Fundo to facilitate the process of solving ordinary ... See full document

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### Bright and Singular Soliton Solutions of Tzitzéica Type Equations Appear in Nonlinear Optics

... periodic solutions were derived by the hyperbolic tangent method together with the Painleve property to both the TDBM (1) and the TT (2) equations ...of problems defined in various fields covering ... See full document

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### Solutions of singular integral equations

... Uniformly Valid Asymptotic Solution to a Volterra Equation on an infinite Interval,. Integral Equations of Volterra Type, J.[r] ... See full document

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### On the Existence and Uniqueness of Holder Solutions of Nonlinear Singular Integral Equations with Carleman Shift

... of singular integral equations (SIE) naturally stimulated the study of singular integral equations with shift ...approximate solutions have been studied for certain ... See full document

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### On the nonexistence of positive solution of some singular nonlinear integral equations

... Ruy, On a nonexistence of positive solution of Laplace equation in upper half-space with Cauchy data, Demonstratio Mathematica 28 (1995), no. Binh, On a nonexistence of positive solution[r] ... See full document

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### On the approximate solution of nonlinear singular integral equations with positive index

... There is a large literature on nonlinear singular integral equations with Hiibert and Cauchy kernel and on related nonlinear Riemann-Hilbert problems for analytic functions, cf.. the mon[r] ... See full document

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