Primitive of First Kind Volterra Integro-Differential Equation Using Shehu Transform

Sudhanshu Aggarwal, Aakansha Vyas and Swarg Deep Sharma
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Sudhanshu Aggarwal: Assistant Professor, Department of Mathematics, National P.G. College, Barhalganj, Gorakhpur-273402, U.P., India
Aakansha Vyas: Assistant Professor, Noida Institute of Engineering & Technology, Greater Noida-201306, U.P., India
Swarg Deep Sharma: Assistant Professor, Department of Mathematics, Nand Lal Singh College Jaitpur Daudpur Constituent of Jai Prakash University Chhapra-841205, Bihar, India

International Journal of Research and Innovation in Applied Science, 2020, vol. 5, issue 8, 31-38

Abstract: Volterra integro-differential equation generally appears when an initial value problem is to be converted into an integral equation. In this paper, authors determined the primitive of first kind Volterra integro-differential equation using Shehu transform. In this work, authors have considered that the kernel of first kind Volterra integro-differential equation is a convolution type kernel. Some numerical problems have been considered and solved with the help of Shehu transform for explaining the complete methodology. Results of numerical problems show that Shehu transform is very effective integral transform for determining the primitive of first kind Volterra integro-differential equation.

Date: 2020
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