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p,q-Extended Struve Function: Fractional Integrations and Application to Fractional Kinetic Equations

Author

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  • Haile Habenom
  • Abdi Oli
  • D. L. Suthar
  • Zakia Hammouch

Abstract

In this paper, the generalized fractional integral operators involving Appell’s function F3⋅ 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 ψrsz 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.

Suggested Citation

  • Haile Habenom & Abdi Oli & D. L. Suthar & Zakia Hammouch, 2021. "p,q-Extended Struve Function: Fractional Integrations and Application to Fractional Kinetic Equations," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, March.
    • Handle: RePEc:hin:jjmath:5536817
    DOI: 10.1155/2021/5536817
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