Exploring Theoretical Insights and Applications of the JSN Integral Transform
Diğer yayınlar > Diğer · 2024
Yazarlar: Jayaram Prakash K, Saratha S R, Ahmet YILDIRIM
Diğer, Uluslararası, 2024,
Özet
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.