[PDF] Top 20 Random Integral Equation of the Volterra Type with Applications

... unique random solution we observe that the above description applies to many ...the random solu- tion of the stochastic integral equation ... See full document

... Volterra type integral equations have diverse applications in scientific and other ...employing integral equations is not a new ...linear Volterra integral equations which ... See full document

... Random integral equations of the Volterra type occur in the general areas of biology, engineering, and ...with random parameters may be reduced to stochastic integral equations ... See full document

... nonlinear random equations for proving the existence theorems [6, 7, 8, 14 and ...of random fixed point theorems was initiated by the Prague school of probabilists in 1950’s, Since then there have been ... See full document

... equations, integral equa- tions and integro-differential ...Gronwall-Bellman-Gamidov type integral inequalities and their generalizations were studied; in [–], the Gronwall-like inequalities and ... See full document

... of random solutions of nonlinear Volterra-Fredholm stochastic integral equations of mixed type by using admissibility theory and fixed point ... See full document

... retarded Volterra-Fredholm type integral inequali- ties on time scales are ...retarded Volterra-Fredholm type dynamic integral equation on time ... See full document

... to Volterra type integral equation are given to illustrate the usability of our ...a Volterra type integral equation with high ... See full document

... a random operator, called the general- ized φ -weakly contraction of the rational ...new random operator includes those studied by Khan et ...the random versions of the CR iterative scheme and the ... See full document

... an integral equation is an equation in which an unknown function ap- pears under an integral ...and integral equations, and some problems may be formulated either ...basic type ... See full document

... of integral equations has discussed by many authors, for examples “[4, 5, 7]”, and ...The integral equation originates from the conversion of a boundary-value problem or an initial-value problem, but ... See full document

... to integral and functional equations [], iterated function systems [], Volterra-type integral equations [] and integral inequalities ... See full document

... Hammerstein integral equation to achieve the effectiveness, the validity, the accuracy and support our theoretical discussion in the above ...Hammerstein integral equation of Fredohlm and ... See full document

... retarded Volterra–Fredholm type integral inequalities on time scales, which extend some known inequalities and provide a handy tool for deriving bounds of solutions of retarded dynamic equations on ... See full document

... In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equa- tions and extension of this type of integral equations. The result is obtained by ... See full document

... many applications, to avoid some contractiveness conditions generated by the use of classical Sadovskii’s fixed point ...some applications, the concepts of ws-compactness and ww-compactness seem to be more ... See full document

... ABSTRACT: In this article we have used modified trapezoidal quadrature method to solve the Volterra integral equation (VIE) of the second type. Using Romberg extrapolation, the speed and ... See full document

... 4. Fredholm integral equation of the second kind. In this section, the general solution of Fredholm integral equation of the second kind is obtained. Also the math- ematical induction is used ... See full document

... fractional integral equations ...fractional integral equations (see [2–6, 8–14, 26, ...of Volterra integral equations in the sense of conformable fractional ... See full document

... solve Volterra in- tegral equations of the first kind, and Fredholm-Volterra integral ...of Volterra integral equations and Freholm-Volterra integral ...solving ... See full document