SOME RESULTS ON PROPORTIONAL PANTOGRAPH FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS

Sahar Mohammad A. Abusalim (), Raouf Fakhfakh and Fatimah Alshahrani ()
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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

FRACTALS (fractals), 2025, vol. 33, issue 08, 1-9

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.

Keywords: Stability; Proportional Fractional Derivative; Existence and Uniqueness (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25401632

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