Integral transforms are essential in mathematical analysis and problem-solving across various fields. In this study, we introduce a novel modified general integral transform known as the JSN transform which overcomes the disadvantages of the several integral transforms in the Laplace family on a particular class of functions. We primarily discuss the advantages such as varying s-domain, pole shifting, varying domain of analyticity and fundamental properties of this proposed transform. Additionally, we explore its effectiveness in resolving integral and differential equations through various examples.