Hahn Laplace transform and its applications

Hıra F.

DEMONSTRATIO MATHEMATICA, cilt.56, sa.1, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 56 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1515/dema-2023-0259
  • Dergi Adı: DEMONSTRATIO MATHEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Linguistic Bibliography, zbMATH, Directory of Open Access Journals
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Like q-calculus, Hahn calculus (or q omega,-calculus) is constructed by defining a difference derivative operator and an integral operator. The q omega,-analogs of the integral representations of the Laplace transform and related special functions, such as gamma and beta, are proposed in this article. Then, some basic properties similar to classical and q-analogs are investigated. Finally, a few examples are given to solve q omega,-initial value problems via the newly introduced q omega,-Laplace transform.