fredholm type
A Regularization of Fredholm type singular integral equations
... Abstract. We present a method to regularize first and second kind integral equations of Fredholm type with singular kernel. By appropriate application of the Poincaré-Bertrand formula we change such integral ...
6
Some new generalized Volterra Fredholm type discrete fractional sum inequalities and their applications
... In this paper, we employ the Riemann-Liouville definition of the fractional difference ini- tiated by Miller and Ross [, ], and developed by Atici and Eloe [–, ] to establish some ...
16
Estimates on some power nonlinear Volterra Fredholm type dynamic integral inequalities on time scales
... Volterra-Fredholm type dynamic integral inequalities on time scales are established, which can be used as effective tools in the study of certain dynamic ...
16
Some Volterra Fredholm type nonlinear discrete inequalities involving four iterated infinite sums
... Volterra-Fredholm type discrete inequalities involving four iterated infinite sums with the right-hand side denoted by an arbitrary function φ(u), which are of more general ...Volterra-Fredholm ...
18
Some New Gronwall-Bellman Type And Volterra-Fredholm Type Fractional Integral Inequalities And Their Applications in Fractional Differential Equations
... Abstract—In this paper, based on the modified Riemann- Liouville fractional derivative and the theory of fractional calculus, some new Gronwall-Bellman type fractional integral inequalities and ...
9
On some nonlinear retarded Volterra–Fredholm type integral inequalities on time scales and their applications
... In this paper, we establish some new nonlinear retarded Volterra–Fredholm type integral inequalities on time scales. Our results not only generalize and extend some known integral inequalities, but also ...
19
Some new retarded nonlinear Volterra Fredholm type integral inequalities with maxima in two variables and their applications
... Gronwall-Bellman-Gamidov type integral inequalities and their generalizations were studied; in [–], the Gronwall-like inequalities and their deformations were investi- gated; in [–], the Volterra ...
25
A class of retarded Volterra Fredholm type integral inequalities on time scales and their applications
... In , Hilger introduced the theory of time scales in order to unify and extend the dif- ference and differential calculus in a consistent way (see []). Since then, more and more researchers are getting involved in ...
15
Qualitative and quantitative analysis for solutions to a class of Volterra Fredholm type difference equation
... Volterra-Fredholm type difference equations can be considered as the discrete analog of classical Volterra-Fredholm type integral equations, which arise in the theory of parabolic boundary ...
16
Fredholm-type theorem for boundary value problems for systems of nonlinear functional differential equations
... Kiguradze, I, P˚ uža, B, Stavroulakis, IP: On singular boundary value problems for functional differential equations of higher order. Kiguradze, I, Šremr, J: Solvability conditions for no[r] ...
9
Existence Results for Fractional Order Mixed Type Functional Integro differential Equations with Impulses
... In this paper, we prove the existence of mild solutions for the semilinear fractional order functional of Volterra-Fredholm type differential equations with impulses in a Banach space. The re- sults are ...
6
Some special characterisations of Fredholm operators in Banach space
... equations. Fredholm studied Fredholm type integral equations of the second kind, which gave rise to such ...of Fredholm operators the following definitions are frequently ...
6
Numerical Solution of Functional Integral and Integro Differential Equations by Using B Splines
... ABSTRACT This paper describes an approximating solution, based on Lagrange interpolation and spline functions, to treat functional integral equations of Fredholm type and Volterra type..[r] ...
5
Optimum Solutions of Fredholm and Volterra Integro-differential Equations
... Abstract: Integro-differential equations arise in modeling various physical and engineering problems. Several numerical and analytical methods have been developed for solving integro-differential equations. In this ...
13
Fredholm Volterra integral equation with potential kernel
... 2. Basic equations. In this section, a method is used to obtain a finite system of integral equations in three dimensions, then, by using the method of separation of variables, we represent the integral equation to a ...
10
Convergence of an Approach for Solving Fredholm Functional Integral Equations
... Abstract. In this work, we give a product Nystr¨ om method for solving a Fredholm functional integral equation (FIE) of the second kind. With this method solving FIE reduce to solving an algebraic system of ...
12
Fredholm Weighted Composition Operators on Dirichlet Space
... Zhao, “Weighted composition operators between different weighted Bergman spaces and different Hardy spaces,” Illinois Journal of Mathematics, vol.. Stroethoff, “Weighted composition operato[r] ...
8
Perturbation Results on Semi Fredholm Operators and Applications
... We give some results concerning stability in the Fredholm operators and Browder operators set, via the concept of measure of noncompactness. Moreover, we prove some localization results on the essential spectra of ...
13
Non Standard Difference Method for Numerical Solution of Linear Fredholm Integro Differential Type Two Point Boundary Value Problems
... Last few decades have seen substantial progress in the development of approximate solution by non-conven- tional methods. One such method, a non-standard finite difference method has increasingly been recognized as a ...
10
Fredholm alternative for the second-order singular Dirichlet problem
... Section is devoted to a priori estimates and plays a crucial role in the proofs of the main results.. Throughout the paper we use the following notation.[r] ...
15