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Results On Tricomplex Partial Metric Spaces And Their Application In The Nonlinear Boundary Value Problem Of Fractional Order

Author

Listed:
  • ZAHIA MOSTEFAOUI

    (Laboratory of Nonlinear Partial Differential Equations and History of Mathematics, Department of Mathematics, ENS 16050, Vieux-Kouba, Algiers, Algeria)

  • YAHYA ALMALKI

    (Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia)

  • HALA ABD-ELMAGEED

    (Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia4Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt)

  • MOHAMED ABDALLA

    (Department of Mathematics, Faculty of Science, King Khalid University, Abha 61413, Saudi Arabia)

Abstract

In the context of tricomplex analysis (TA), we present the tricomplex partial metric space (TPMS), which is a considerable advancement over the tricomplex metric space (TMS). This new approach provides for a more nuanced understanding of fixed point theorems, which is backed up by illustrative examples. Furthermore, fixed point theorems have been applied to nonlinear fractional boundary value issues.

Suggested Citation

  • Zahia Mostefaoui & Yahya Almalki & Hala Abd-Elmageed & Mohamed Abdalla, 2025. "Results On Tricomplex Partial Metric Spaces And Their Application In The Nonlinear Boundary Value Problem Of Fractional Order," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-9.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:04:n:s0218348x25400882
    DOI: 10.1142/S0218348X25400882
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