Abstract:

Fractional transforms play a crucial role in various signal processing applications, providing a versatile framework for handling non-integer orders of differentiation and integration. This paper delves into the investigation of fractional transforms with a focus on their practical implementations. We present a comprehensive analysis of the theoretical foundations, numerical methods, and real-world applications of fractional transforms. Additionally, we introduce novel algorithms and techniques for efficient computation, addressing challenges associated with numerical instability and computational complexity

Description:

Fraction, Transforms, Applications, Caputo Fractional, Practical