[PDF] Top 20 On the approximate solution of nonlinear singular integral equations with positive index
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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
8
Positive solutions for singular coupled integral boundary value problems of nonlinear higher order fractional q difference equations
... This paper investigates the positive solutions for the singular coupled integral boundary value problem of nonlinear higher-order fractional q-difference equations. By applying a mixed ... See full document
22
Positive solution for a class of singular semipositone fractional differential equations with integral boundary conditions
... where a(t) can have singularities, and the nonlinearity f satisfies Carathéodory conditions. Under weak assumptions, Webb obtained sharp results on the existence of positive solu- tions under a suitable condition ... See full document
17
Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
... of positive solutions for a class of singular nonlinear fractional differential equations with Riemann-Stieltjes integral boundary ...including singular and nonsingular ... See full document
15
Existence of positive solutions for a singular nonlinear fractional differential equation with integral boundary conditions involving fractional derivatives
... point index theory, the singular nonlinear fractional differential equations with Riemann–Stieltjes integral boundary conditions involving fractional derivatives are considered under ... See full document
21
On the nonexistence of positive solution of some singular nonlinear integral equations
... r,u(r, 0) ∀ r > 0. (1.9) In [7] the problem (1.3), (1.4) is considered for N = 2 and for a function g continuous, nondecreasing and bounded below by the power function of order α with respect to the third variable and ... See full document
10
A positive fixed point theorem with applications to systems of Hammerstein integral equations
... We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to ... See full document
10
Solvability for system of nonlinear singular differential equations with integral boundary conditions
... of 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 ...point index theory, ... See full document
12
Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
... differential equations have attracted more and more attention in recent decades, which is partly due to their numerous applications in many branches of science and engineering including fluid flow, rheology, diffusive ... See full document
13
Jacobi spectral solution for weakly singular integral algebraic equations of index 1
... the approximate solution of a class of semi-explicit Integral Algebraic equations (IAEs) of index-1 with weakly singular ...the equations into integral ... See full document
15
Approximate Solution of the Volterra Random Integral Equations
... differential equations incorporate white noise, which can be thought of as the derivative of Brownian ...[2]. Solution of Stochastic differential equations from a very large class of stochastic ... See full document
9
An efficient computer application of the sinc-Galerkin approximation for nonlinear boundary value problems
... or nonlinear BVP into a sinc-Galerkin form accurate to the order O(N / e –(πdαN ) / ) ...or nonlinear algebraic equations that include all unknown ...These equations are expressed in a ... See full document
17
Solvability for a class of nonlinear Hadamard fractional differential equations with parameters
... differential equations have attracted more and more attention for their useful applications in various fields, such as economics, sci- ence, and engineering; see ...of positive solutions for boundary value ... See full document
23
On positive solutions for a class of singular nonlinear fractional differential equations
... Recently, there have been many exciting developments in the field of fixed point theory on partially ordered metric spaces. The first result in this direction was given by Turinici []. In [], Ran and Reurings extended ... See full document
11
Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel
... and nonlinear integral equa- tions by utilizing different techniques, for example Abdou et al ...the integral equation with singular kernel and used Toeplitz matrix me- thod (TMM) and product ... See full document
7
The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w distances
... Theorem . Consider the nonlinear fractional differential equation (.). Suppose that there are two functions ψ , φ : [, ∞ ) → [, ∞ ) with ψ is an altering distance function and φ is a continuous function such ... See full document
15
Solutions of nonlinear integral equations and their application to singular perturbation problems
... Wasow [8] proves the existence of a solution and develops a single uniform asymptotic expansion for that solution in the case of a second order differential equation of the form 1.3 wit[r] ... See full document
70
A study on pointwise approximation by double singular integral operators
... of nonlinear singular integral operators [, ], a family of nonlinear m-singular integral operators [], Fejer-Type singular integrals [], moment type operators [], a ... See full document
10
Analysis of Abel-type nonlinear integral equations with weakly singular kernels
... Abel-type nonlinear integral equations with weakly singular ...nontrivial solution are presented in an order interval of a cone by using fixed point ...fractional integral ... See full document
16
A Convergence Analysis of Discontinuous Collocation Method for IAEs of Index 1 Using the Concept “Strongly Equivalent”
... Remark 7.1 Note that, in the above argument, we do not know anything about the continuity or the differentiability of the function θ , hence of the function K t s ( , ) = K y ( , , ( )) t s θ s with respect to . s ... See full document
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