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Some Results On Proportional Pantograph Fractional Stochastic Differential Equations

Author

Listed:
  • SAHAR MOHAMMAD A. ABUSALIM

    (Department of Mathematics, College of Science, Jouf University Sakaka, P. O. Box 2014, Saudi Arabia)

  • RAOUF FAKHFAKH

    (Department of Mathematics, College of Science, Jouf University Sakaka, P. O. Box 2014, Saudi Arabia)

  • FATIMAH ALSHAHRANI

    (��Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia)

Abstract

This paper presents the existence, uniqueness, and stability results of proportional pantograph fractional stochastic differential equations (PPFSDEs) based on some mathematical inequalities, the Itô’s isometry formula and the Banach fixed point theorem (BFPT). Two examples are provided to illustrate the obtained theoretical results.

Suggested Citation

  • Sahar Mohammad A. Abusalim & Raouf Fakhfakh & Fatimah Alshahrani, 2025. "Some Results On Proportional Pantograph Fractional Stochastic Differential Equations," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(08), pages 1-9.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:08:n:s0218348x25401632
    DOI: 10.1142/S0218348X25401632
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