A new modified integral transform and its applications

Biçer K., Dernek A. N., Albayrak D., Aylikci F.

Montes Taurus Journal of Pure and Applied Mathematics, cilt.6, sa.1, ss.85-101, 2024 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 1
  • Basım Tarihi: 2024
  • Dergi Adı: Montes Taurus Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Scopus, Index Copernicus
  • Sayfa Sayıları: ss.85-101
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.