Weyl fractional q-integral operator involving a generalized basic hypergeometric function

• Leda Galue ^[1]
  1. [1] La Universidad del Zulia

     La Universidad del Zulia

     Venezuela

     
• Localización: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum, ISSN 1130-4723, Vol. 26, Nº. 2, 2014, págs. 21-33
• Idioma: inglés
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• Resumen

  • This paper deals with a new fractional q-integral operator type Weyl involving a generalized basic hypergeornetric function rcP8 (.) . For the new operator sorne cornposition forrnulae, fractional q-integration by parts and the q-Mellin transforrn are presented. Furtherrnore, various special cases are rnentioned.