https://doi.org/10.1140/epjs/s11734-024-01359-0
Regular Article
Solutions of differential equations in bicomplex space using Sadik transforms
School of Advanced Sciences, Vellore Institute of Technology, Vandalur-Kelambakkam Road, 600127, Chennai, Tamilnadu, India
Received:
12
March
2024
Accepted:
1
October
2024
Published online:
14
October
2024
In this paper, we present the Sadik transform in Bicomplex space and prove that it exists under piecewise continuity and exponential order. To give a thorough knowledge of the defined transform, we examine key characteristics of the Bicomplex Sadik transform, such as linearity, duality, uniqueness, and convolution. This transform’s efficiency is illustrated by solving matrix integral equations and differential equations with it. We also apply the Bicomplex Sadik transform to the time-dependent Schrödinger equation, emphasizing its applicability and promise in quantum mechanics.
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