• Sudhanshu Aggarwal
• SANJAY KUMAR

In the present paper, authors determine the primitive of system of convolution type linear Volterra integro-differential equations of first kind by using Laplace-Carson transform. Four numerical problems have been considered and solved using Laplace-Carson transform for explaining the applicability of Laplace-Carson transform for determining the primitive of system of convolution type linear Volterra integro-differential equations of first kind. Results of numerical problems depict that the Laplace-Carson transform provides the primitive of system of convolution type linear Volterra integro-differential equations of first kind without doing tedious calculation work.

Volterra Integro-Differential Equation; Laplace-Carson Transform; Convolution; Inverse Laplace-Carson Transform

"LAPLACE-CARSON TRANSFORM FOR THE PRIMITIVE OF SYSTEM OF CONVOLUTION TYPE LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS OF FIRST KIND ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.8, Issue 6, page no.c30-c51, June-2021, Available :http://www.jetir.org/papers/JETIR2106275.pdf

"LAPLACE-CARSON TRANSFORM FOR THE PRIMITIVE OF SYSTEM OF CONVOLUTION TYPE LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS OF FIRST KIND ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.8, Issue 6, page no. ppc30-c51, June-2021, Available at : http://www.jetir.org/papers/JETIR2106275.pdf