\((p,q)\)-extended Struve function: fractional integrations and application to fractional kinetic equations
Summary: In this paper, the generalized fractional integral operators involving Appell's function \(F_3 (\cdot)\) in the kernel due to Marichev-Saigo-Maeda are applied to the \((p,q)\)-extended Struve function. The results are stated in terms of Hadamard product of the Fox-Wright function \({}_r\psi_s(z)\) and the \((p,q)\)-extended Gauss hypergeometric function. A few of the special cases (Saigo integral operators) of our key findings are also reported in the corollaries. In addition, the solutions of a generalized fractional kinetic equation employing the concept of Laplace transform are also obtained and examined as an implementation of the \((p,q)\)-extended Struve function. Technique and findings can be implemented and applied to a number of similar fractional problems in applied mathematics and physics.
scientific article; zbMATH DE number 7361995
scientific article