![]() Integral transforms have wide applications in the various disciplines of engineering and science to solve the problems of heat transfer, springs, mixing problems, electrical networks, bending of beams, carbon dating problems, Newton's second law of motion, signal processing, exponential growth and decay problems. Results show that the mention integral transforms are strongly related with Laplace-Carson transform. To visualize the importance of dualities between Laplace-Carson transform and mention integral transforms, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Elzaki transform, Mohand transform and Sawi transform) of mostly used basic functions by using mention dualities relations. ![]() In this paper, we will discuss the dualities between Laplace-Carson transform and some useful integral transforms namely Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Elzaki transform, Mohand transform and Sawi transform. Results show that Kamal transform and Laplace, Laplace–Carson, Aboodh, Sumudu, Elzaki, Mohand and Sawi transforms have a strong relationship. To show the practical importance of the paper, a problem of the field of pharmacokinetics has been taken and solved in full steps using Kamal transform with the help of mention duality relations. Tabular presentation of Laplace transform, Laplace–Carson transforms, Aboodh transform, Sumudu transform, Elzaki transform, Mohand transform and Sawi transform of mostly used basic mathematical functions are given to visualize the importance of duality relations of Kamal transform with Laplace, Laplace–Carson, Aboodh, Sumudu, Elzaki, Mohand and Sawi transforms. In this paper, authors discussed the duality relations of Kamal transform with Laplace, Laplace–Carson, Aboodh, Sumudu, Elzaki, Mohand and Sawi transforms. Integral transforms have wide applications in the various disciplines of engineering and science to solve the problems of heat transfer, springs, mixing problems, electrical networks, bending of beams, carbon dating problems, Newton’s second law of motion, signal processing, exponential growth and decay problems.
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