Complex kernel of rangaig integral transform and its applications in ordinary differential equations

This master thesis is divided into the following sections. The first section contains a review of the literature on differential equations, including their types and classification techniques, and a review of the literature on integral transforms. The second section covers fundamental definitions and attributes that will enrich the work, focusing on the Rangaig and generalized Rangaig transforms, which will serve as the work's seed. The third section analyzes the suggested integral transform (SEL) in detail, including its fundamental features and applications to major functions. Finally, the fourth section discusses the application of the SEL transformation to a variety of different scientific disciplines.