On q-Laplace type integral operators and their applications

Uçar F., Albayrak D.

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, cilt.18, sa.6, ss.1001-1014, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 6
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1080/10236198.2010.540572
  • Dergi Adı: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1001-1014
  • Anahtar Kelimeler: q-calculus, Jackson integral, q-Laplace transform, q-gamma function, the L-q(2)-transform, L-q(2)-transform
  • Marmara Üniversitesi Adresli: Evet

Özet

In this work, two q-Laplace type integral transforms called L-q(2)-transform and L-q(2)-transform are introduced. Some properties of q-analogues of the L-2-transform are given, and several relationships between them are studied. Moreover, we show that the new Laplace type q-integral transforms may be regarded as q-extension of the L-2-transform. Some illustrative examples are also given.