# [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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