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2021•Journal of Emerging Technologies and Innovative ResearchRequires access

SOLUTION OF SYSTEM OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS OF SECOND KIND VIA LAPLACE-CARSON TRANSFORM

Sudhanshu Aggarwal, Sanjay Kumar

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Abstract

In the present paper, authors determine the solution of system of linear Volterra integro-differential equations of second kind via Laplace-Carson transform. Two numerical problems have been considered and solved using Laplace-Carson transform for explaining the applicability of Laplace-Carson transform. Results of numerical problems depict that the Laplace-Carson transform provides the solution of system of linear Volterra integro-differential equations of second kind without doing tedious calculation work.

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What this paper is about

In the present paper, authors determine the solution of system of linear Volterra integro-differential equations of second kind via Laplace-Carson transform. Two numerical problems have been considered and solved using Laplace-Carson transform for explaining the applicability of Laplace-Carson transform. Results of numerical problems depict that the Laplace-Carson transform provides the solution of system of linear Volterra integro-differential equations of second kind without doing tedious calculation work.

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Available abstract

In the present paper, authors determine the solution of system of linear Volterra integro-differential equations of second kind via Laplace-Carson transform. Two numerical problems have been considered and solved using Laplace-Carson transform for explaining the applicability of Laplace-Carson transform. Results of numerical problems depict that the Laplace-Carson transform provides the solution of system of linear Volterra integro-differential equations of second kind without doing tedious calculation work.

Key concepts: Laplace transform, Laplace transform applied to differential equations, Two-sided Laplace transform, Inverse Laplace transform, Mellin transform, Laplace–Stieltjes transform, Volterra integral equation, Mathematics

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SOLUTION OF SYSTEM OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS OF SECOND KIND VIA LAPLACE-CARSON TRANSFORM — Research Paper | ScholarLens