[PDF] Top 20 Analysis of Abel-type nonlinear integral equations with weakly singular kernels
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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 ... See full document
16
Jacobi spectral solution for weakly singular integral algebraic equations of index 1
... semi-explicit Integral Algebraic equations (IAEs) of index-1 with weakly singular ...the equations into integral equations defined on the standard interval [–1, 1], so that ... See full document
15
Vol 9, No 1 (2018)
... Volterra integral equations of the second kind with weakly singular ...volterra integral equations are sufficiently ...error analysis for proposed method, which shows that ... See full document
15
Singularly perturbed Volterra integral equations with weakly singular kernels
... Heuristic analysis and formal solution. The analysis of the additive decompo- sition shows that we should introduce the new time scale τ = t/µ(ε) , we call this the inner variable and seek an asymptotic ... See full document
15
Systems of Singularly Perturbed Fractional Integral Equations II
... The analysis of the formal asymptotic solution of (1) in this paper follows that of a linear version studied in ...and integral equations. For ordinary differential equations and ... See full document
6
Some New Nonlinear Weakly Singular Integral Inequalities of Wendroff Type with Applications
... new weakly singular integral inequalities of Wendroff type are established, which generalized some known weakly singular inequalities for functions in two variables and can be ... See full document
12
A Regularization of Fredholm type singular integral equations
... Now as it is clear, the integral term on the right-hand side of (1.1) is at most weakly singular. Using this regularized formula we are going to solve some important first and second kind Fredholm’s ... See full document
6
A class of Runge–Kutta methods for nonlinear Volterra integral equations of the second kind with singular kernels
... into nonlinear Volterra integral equations of the second kind and then we will look for the solution by a class of Runge–Kutta ...solving singular integral equations, the pur- ... See full document
19
Riemann–Hilbert problems with shift on the Lyapunov curve for null-solutions of iterated Beltrami equations
... Beltrami equations in a wider context. Fur- thermore, the study of this type of BVPs will not only be helpful to study some other types of BVPs or integral equations with shift in a broader ... See full document
34
On nonlinear discrete weakly singular inequalities and applications to Volterra type difference equations
... various weakly singular inte- gral inequalities and their discrete analogues have attracted more and more attention and play a fundamental role in the study of the theory of singular differential ... See full document
13
Generalized nonlinear weakly singular retarded integral inequalities with maxima and their applications
... of integral equations and differential ...and nonlinear gen- eralizations ...differential equations, integral inequalities with weakly singular kernels have attracted ... See full document
24
Some new nonlinear integral inequalities with weakly singular kernel and their applications to FDEs
... In the study of the qualitative and quantitative properties of solutions of some fractional differential equations, many inequalities with singular kernels have been developed (for example, see [–] ... See full document
17
Estimation of unknown function of nonlinear weakly singular integral inequalities of Gronwall–Bellman–Pachpatte type
... The integral inequality provides a useful tool for investigating the existence, uniqueness, boundedness and other qualitative properties of the solutions of differential equations and integral ... See full document
16
Some Nonlinear Weakly Singular Integral Inequalities with Two Variables and Applications
... Some nonlinear weakly singular integral inequalities in two variables which generalize some known results are ...the analysis of certain classes of differential equations, ... See full document
12
Some new weakly singular integral inequalities and their applications to fractional differential equations
... Gronwall type inequality, the Gronwall-Bellman type inequality, the Henry-Gronwall type inequality, the Henry-Bihari type inequality and their variants in retarded form played important roles ... See full document
16
On a weakly singular quadratic integral equations of Volterra type in Banach algebras
... quadratic integral equation with a class of special singular kernels by using a different method, a fixed point theorem due to Darbo acting in a Banach algebra via the technique of the measure of ... See full document
18
Refinements of some $2D$ nonlinear integral inequalities and applications in fractional integral equations
... gral equations. One of the most famous inequalities of this type is known as “Gronwall’s inequality”, “Bellman’s inequal- ity,” or “Gronwall-Bellman’s inequality”see [1, 2, 3,8, 9, ...tive analysis ... See full document
8
Discrete collocation method for Volterra type weakly singular integral equations with logarithmic kernels
... of equations arise from solution of Dirichlet’s problem for the Laplace equation in two dimensions in terms of a single-layer logarithmic potential [24], solution of the reduced wave equation in two di- mensions ... See full document
24
The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential Equations
... solve singular or nonsingular integral equations in the reproducing kernel Hilbert space which was pre- sented by Zaremba in ...gular integral equations with cosecant kernel [25], ... See full document
10
Numerical Solutions of Volterra Integral Equations of Second kind with the help of Chebyshev Polynomials
... regular kernels and weakly singular kernels, available in the existing literature [1- ...Volterra integral equations is calculated by ... See full document
10
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