An application of q-Sumudu transform for fractional q-kinetic equation

Purohit S. D., UÇAR F.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.2, ss.726-734, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1703-7
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.726-734
  • Anahtar Kelimeler: Riemann-Liouville fractional q-integrals, q-kinetic equation, q-Sumudu transforms, REACTION-DIFFUSION EQUATIONS, Q-DERIVATIVES, Q-INTEGRALS
  • Marmara Üniversitesi Adresli: Evet

Özet

The aim of this paper is to give an alternative solution for the q-kinetic equation involving the Riemann-Liouville fractional q-integral operator. The solution is obtained in terms of the q-Mittag-Leffler functions using inverse q-Sumudu transform. As applications, some corollaries are presented to illustrate the main results.