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Certain Fractional Integrals and Solutions of Fractional Kinetic Equations Involving the Product of S-Function

  • Mehar Chand
  • Zakia Hammouch
  • Joshua Kiddy K. Asamoah
  • Dumitru Baleanu
Chapter
First Online:
Part of the Nonlinear Systems and Complexity book series (NSCH, volume 24)

Abstract

The aim of the present work is to establish certain new fractional integral by applying the Saigo hypergeometric fractional integral operators, and images of the resulting formulas involving the product of S-function are also presented by employing some useful integral transforms. Furthermore, we develop a new and further generalized form of the fractional kinetic equation involving the product of S-function. The manifold generality of the S-function is discussed in terms of the solution of the fractional kinetic equation, and their graphical and numerical interpretation is presented in the present paper. The results obtained here are quite general in nature and capable of yielding a large number of known and (presumably) new results.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  • Mehar Chand
    • 1
  • Zakia Hammouch
    • 2
  • Joshua Kiddy K. Asamoah
    • 3
    • 4
  • Dumitru Baleanu
    • 5
  1. 1.Department of Applied SciencesGuru Kashi UniversityBathindaIndia
  2. 2.Faculty of Sciences and Techniques, Department of MathematicsMoulay Ismail UniversityErrachidiaMorocco
  3. 3.Department of MathematicsKwame Nkrumah University of Science and TechnologyKumasiGhana
  4. 4.African Institute for Mathematical SciencesBiriwaGhana
  5. 5.Department of MathematicsÇankara UniversityAnkaraTurkey

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