Existence and Uniqueness Results for Second-Order  Random Differential Equations via Branciari-type  Two-Operator Fixed Point Theorem

Author(s)	Mr. Pavan D Bhosale, Dr. Siddheshwar S Bellale, Dr. Vishnu V Latpate, Sanjay V Badgire
Country	India
Abstract	Abstract: This paper investigates the existence and uniqueness of solutions for a class of second-order random differential equations using fixed point theory. A transformation into an equivalent random integral equation is provided, followed by operator construction. A concrete example demonstrates the main result. This study contributes to the growing field of random differential equations by offering a rigorous and generalizable framework applicable in various stochastic modelling contexts
Keywords	Keywords: Random differential equation, fixed point theorem, second-order differential equa tion, random operator, existence and uniqueness, integral equation, stochastic process
Field	Mathematics
Published In	Volume 16, Issue 3, July-September 2025
Published On	2025-09-09
DOI	https://doi.org/10.71097/IJSAT.v16.i3.8139
Short DOI	https://doi.org/g93b5s

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