Ulam–Hyers–Rassias stability of Hilfer fractional stochastic impulsive differential equations with non-local condition via Time-changed Brownian motion followed by the currency options pricing model

Dimplekumar Chalishajar, Dhanalakshmi Kasinathan, Ravikumar Kasinathan and Ramkumar Kasinathan

Chaos, Solitons & Fractals, 2025, vol. 197, issue C

Abstract: In this paper, a new solution representation and Ulam-Hyer’s Rassias stability of Hilfer fractional stochastic impulsive differential systems (HFSIDEs) with non-local condition via Time-changed fractional Brownian motion (TCFBM) is studied. The wellposedness of solutions are proved in the finite-dimensional space by using fixed point theorem (FPT). Finally, to account for the long-memory property of the spot exchange rate, we offer a novel framework for pricing currency options in line with the TCFBM model.

Keywords: Fractional calculus; Time-changed Fractional Brownian motion; Instantaneous impulses; Ulam–Hyer’s Rassias stability; Pricing model (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:197:y:2025:i:c:s0960077925004813

DOI: 10.1016/j.chaos.2025.116468

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