A new modified integral transform and its applications
Montes Taurus Journal of Pure and Applied Mathematics, vol.6, no.1, pp.85-101, 2024 (Scopus)
- Publication Type: Article / Article
- Volume: 6 Issue: 1
- Publication Date: 2024
- Journal Name: Montes Taurus Journal of Pure and Applied Mathematics
- Journal Indexes: Scopus, Index Copernicus
- Page Numbers: pp.85-101
- Yıldız Technical University Affiliated: Yes
Abstract
In this paper, the authors introduce a new integral transform ℳν, n, 2 (Re(ν)>0,n∈ℤ+), which yields some useful new or known integral transforms as its special cases. Several theorems that are dealing with general properties of the ℳν, n, 2-integral transform are proven. The existence theorem, convolution theorem and inversion theorem for ℳν, n, 2-integral transform are given. Generalized Natural transform 𝒩2+, which is a special form of ℳν, n, 2-integral transform, is used to find solutions of some certain differential and integral equations. Also some illustrative examples like Bessel equation, Hermite equation are given to demonstrate the applicability of the results.