Volterra integral equations have a wide range of applications in mechanics, linear visco-elasticity, renewal theory, particle size statistics, damped vibration of a string, heat transfer problems, geometric probability, population dynamics, and epidemic studies. Many mathematicians and scientists are interested in finding either approximate or exact solutions to these equations. Upadhyaya Transform (UT) will be used in this paper to solve linear second type V.I.E. To accomplish this, the linear second type V.I.E. kernel has adopted a convolution type kernel. Some numerical examples are taken into account in order to outline the entire process of arriving at the solution. According to our findings, the Upadhyaya Transform (UT) is a powerful tool for finding solutions to the Linear Second kind V.I.E.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.