Open AccessA new complex SEL integral transform and its applications on ordinary differential equations
Author(s) -
Emad A. Kuffi,
Luay Salim Ahmed
Publication year - 2022
Publication title -
international journal of health sciences (ijhs) (en línea)
Language(s) - English
Resource type - Journals
eISSN - 2550-6978
pISSN - 2550-696X
DOI - 10.53730/ijhs.v6ns3.5392
Subject(s) - integral transform , hartley transform , mathematics , two sided laplace transform , integral equation , transformation (genetics) , mathematical analysis , ordinary differential equation , fractional fourier transform , s transform , mellin transform , laplace transform applied to differential equations , kernel (algebra) , fourier transform , laplace transform , differential equation , computer science , pure mathematics , artificial intelligence , fourier analysis , biochemistry , chemistry , wavelet packet decomposition , wavelet transform , wavelet , gene
This paper introduces a new complex integral transformation obtained by inserting a complex parameter into the well-known Rangaig integral transform kernel function. The new integral transform is denoted by the acronym SEL and is called the Complex (Serifenur-Emad-Luay) integral transform. The proposed SEL integral transform features are explained and shown to correspond to some fundamental functions. The application of the SEL transform to finding the solution of some differential equations, including those arising in some real-world practical applications, is discussed as an illustration of the actual fields that could benefit from this novel transform.