Random Integral Equation of the Volterra Type with Applications

Hyers-Ulam stability of Volterra integral equation

We will apply the successive approximation method forproving the Hyers--Ulam stability of a linear integral equation ofthe second kind.

Fredholm-volterra Integral Equation with Potential Kernel

A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L2(Ω)×C(0,T ),Ω = {(x,y) : √ x2+y2 ≤ a}, z = 0, and T <∞. The kernel of the Fredholm integral term considered in the generalized potential form belongs to the class C([Ω]×[Ω]), while the kernel of Volterra integral term is a positive and continuous function that belongs to the class C[0,T ]. Also in...

Numerical solution of a type of weakly singular nonlinear Volterra integral equation by Tau Method

‎In this paper‎, ‎a matrix based method is considered for the solution of a class of nonlinear Volterra integral equations with a kernel of the general form $s^{beta}(t-s)^{-alpha}G(y(s))$ based on the Tau method‎. ‎In this method‎, ‎a transformation of the independent variable is first introduced in order to obtain a new equation with smoother solution‎. ‎Error analysis of this method is also ...

A Solution of Generalized Fractional Volterra Type Integral Equation Involving

Department of Mathematics, NRI Institute of Technology and Management, Gwalior-474001, India Address: B-3, Krishna Puri, Taraganj, Lashkar, Gwalior (M.P.)-474001, India E-mail: [email protected], [email protected] School of Mathematics and Allied Sciences, Jiwaji University, Gwalior (M.P.)-474011, India E-mail: [email protected] Research Scholar, Suresh Gyan Vihar ...

On the Volterra Integral Equation with Weakly Singular Kernel