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

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Mathematical Methods in Engineering

Part of the book series: Nonlinear Systems and Complexity ((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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Author information

Authors and Affiliations

  1. Department of Applied Sciences, Guru Kashi University, Bathinda, India

    Mehar Chand

  2. Faculty of Sciences and Techniques, Department of Mathematics, Moulay Ismail University, Errachidia, Morocco

    Zakia Hammouch

  3. Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana

    Joshua Kiddy K. Asamoah

  4. African Institute for Mathematical Sciences, Biriwa, Ghana

    Joshua Kiddy K. Asamoah

  5. Department of Mathematics, Çankara University, Ankara, Turkey

    Dumitru Baleanu

Authors
  1. Mehar Chand
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  2. Zakia Hammouch
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  3. Joshua Kiddy K. Asamoah
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  4. Dumitru Baleanu
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Cankaya University, Ankara, Turkey

    Kenan Taş

  2. Department of Mathematics, Çankaya University, Ankara, Turkey

    Dumitru Baleanu

  3. Instituto Superior de Engenharia do Porto, Porto, Portugal

    J. A. Tenreiro Machado

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Chand, M., Hammouch, Z., Asamoah, J.K.K., Baleanu, D. (2019). Certain Fractional Integrals and Solutions of Fractional Kinetic Equations Involving the Product of S-Function. In: Taş, K., Baleanu, D., Machado, J. (eds) Mathematical Methods in Engineering. Nonlinear Systems and Complexity, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-319-90972-1_14

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  • DOI: https://doi.org/10.1007/978-3-319-90972-1_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-90971-4

  • Online ISBN: 978-3-319-90972-1

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