Laplace-Carson Transform for the Primitive of Convolution Type Volterra Integro-Differential Equation of First Kind

International Journal of Research and Innovation in Applied Science (IJRIAS) | Volume V, Issue IV, July 2020 | ISSN 2454-6194

 Laplace-Carson Transform for the Primitive of Convolution Type Volterra Integro-Differential Equation of First Kind

 Sudhanshu Aggarwal1 , Swarg Deep Sharma2 , Aakansha Vyas3

1Assistant Professor, Department of Mathematics, National P.G. College, Barhalganj, Gorakhpur-273402, U.P., India
2Assistant Professor, Department of Mathematics, Nand Lal Singh College Jaitpur Daudpur Constituent of Jai Prakash University Chhapra-841205, Bihar, India
3Assistant Professor, Noida Institute of Engineering & Technology, Greater Noida-201306, U.P., India

Abstract: Volterra integro-differential equations appear in many branches of engineering, physics, biology, astronomy, radiology and having many interesting applications such as process of glass forming, diffusion process, heat and mass transfer, growth of cells and describing the motion of satellite. In this paper, authors present Laplace-Carson transform for the primitive of convolution type Volterra integro-differential equation of first kind. Four numerical problems have been considered and solved using Laplace-Carson transform for explaining the applicability of present transform. Results of numerical problems show that the Laplace-Carson transform is very effective integral transform for determining the primitive of convolution type olterra integro-differential equation of first kind.
Keywords: Volterra integro-differential equation; LaplaceCarson transform; Convolution; Inverse Laplace-Carson
transform.

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