Analysing And Applying Novel Integral Transforms and Differential Equations

Abstract

Researchers are always investigating new methodologies and applications in the area of integral transforms and differential equations, leading to its ongoing evolution. This study explores new integral transformations, offering a thorough examination of recent progress and their practical consequences in solving intricate differential equations. The study involves theoretical advancements, algorithmic breakthroughs, and practical implementations across several scientific fields.

The main topics covered are the investigation of novel integral transform methods, their underlying mathematical principles, and their effectiveness in solving differential equations of varied levels of difficulty. The emphasis is placed on the interaction between theoretical breakthroughs and practical applications, highlighting the contribution of these transformational tools to progress in the fields of physics, engineering, and applied mathematics.

The state-of-the-art techniques and their influence on varied problem areas are emphasised by contributions from prominent specialists in the field. This book delves into several integral transforms, ranging from fractional calculus to wavelet transforms. It serves as a vital resource for researchers, academics, and practitioners that want to utilise these methods in order to solve advanced challenges in science and engineering.