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ON WEIGHTED k-FRACTIONAL OPERATORS WITH APPLICATIONS IN MATHEMATICAL PHYSICS

Author

Listed:
  • SHANHE WU

    (Department of Mathematics, Longyan University, Longyan 364012, P. R. China)

  • MUHAMMAD SAMRAIZ

    (Department of Mathematics, University of Sargodha, Sargodha, Pakistan)

  • ZAHIDA PERVEEN

    (Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan)

  • SAJID IQBAL

    (Department of Mathematics, Riphah International University, Faisalabad Campus, Satyana Road, Faisalabad, Pakistan)

  • AZHAR HUSSAIN

    (Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan)

Abstract

The main objective of this paper is to present weighted k-fractional integral and derivative operators of a function with respect to another function and to uncover their properties. In addition to this, we find the weighted Laplace transform of the newly defined operators. As applications of the weighted k-fractional operators in mathematical physics, we study the fractional forms of kinetic differintegral equation and the time-fractional heat equation involving the novel operators and find their solutions using weighted Laplace transform.

Suggested Citation

  • Shanhe Wu & Muhammad Samraiz & Zahida Perveen & Sajid Iqbal & Azhar Hussain, 2021. "ON WEIGHTED k-FRACTIONAL OPERATORS WITH APPLICATIONS IN MATHEMATICAL PHYSICS," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(04), pages 1-14, June.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:04:n:s0218348x21500845
    DOI: 10.1142/S0218348X21500845
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