Successive approximation and stability analysis of Hilfer fractional stochastic differential systems with application to circuits

Rajesh Dhayal and J.F. Gómez-Aguilar

International Journal of Systems Science, 2026, vol. 57, issue 2, 361-371

Abstract: This paper develops a class of Hilfer fractional stochastic differential systems in the finite-dimensional space. Firstly, we established the existence of solutions for the considered problem under the non-Lipschitz conditions. Moreover, we derived the novel stability results for the proposed system. The outcomes are formulated and proved using the successive approximation approach, Grönwall’s inequality, Bihari inequality, and fractional calculus. Finally, an illustrative example is given to demonstrate the obtained results.

Date: 2026
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DOI: 10.1080/00207721.2025.2504050

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