Abstract This paper discusses different types of Ulam stability first-order nonlinear Volterra delay integro-differential equations with impulses. Such allow the presence two kinds memory effects represented by and kernel used fractional integral operator. Our analysis is based on Pachpatte’s inequality fixed point approach Picard operators. Applications are provided to illustrate results obtai...

this paper describes an approximating solution, based on lagrange interpolation and spline functions, to treat functional integral equations of fredholm type and volterra type. this method can be extended to functional dierential and integro-dierential equations. for showing eciency of the method we give some numerical examples.