Title of article
Generalized hypergeometric k-functions via (k, s)-fractional calculus
Author/Authors
Nisar ، Kottakkaran Sooppy - Prince Sattam bin Abdulaziz University , Rahman ، Gauhar - International Islamic University , Choi ، Junesang - Dongguk University , Mubeen ، Shahid - University of Sargodha , Arshad ، Muhammad - International Islamic University
Pages
10
From page
1791
To page
1800
Abstract
We introduce (k; s)-fractional integral operator involving (k, )-hypergeometric function and the Riemann-Liouville leftsided and right-sided (k; s)-fractional integral and differential operators. Then we present several useful and interesting results involving the introduced operators. Also, the results presented here, being general, are pointed out to reduce to some known results.
Keywords
Generalized hypergeometric function pFq,ר , hypergeometric function, k , ר hypergeometric function, differential operators, (k, ) , hypergeometric function, k , Pochhammer symbol, k , gamma function, k , beta function, (k , s) , fractional integral.
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2017
Journal title
Journal of Nonlinear Science and Applications
Record number
2476509
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