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Article Abstract
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.
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