The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the Generalized <i>K</i> -Struve Function
Seema Kabra, Harish Nagar, Kottakkaran Sooppy Nisar, D. L. Suthar
Abstract
Abstract In the present paper, we establish some compositions formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with k -Struve function <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:mrow> <m:msubsup> <m:mi>S</m:mi> <m:mrow> <m:mi>ν</m:mi> <m:mo>,</m:mo> <m:mi>c</m:mi> </m:mrow> <m:mi>k</m:mi> </m:msubsup> </m:mrow> </m:math> S_{\nu ,c}^k as of the kernel. The results are presented in terms of generalized k -Wright function <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:mrow> <m:msub> <m:mrow/> <m:mi>p</m:mi> </m:msub> <m:msubsup> <m:mo>Ψ</m:mo> <m:mi>q</m:mi> <m:mi>k</m:mi> </m:msubsup> </m:mrow> </m:math> _p\Psi _q^k .