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
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
Journal title :
Journal of Nonlinear Science and Applications
