The averaging principle of Hilfer fractional stochastic pantograph equations with non-Lipschitz conditions

Ramkumar Kasinathan, Ravikumar Kasinathan, Dimplekumar Chalishajar, Dumitru Baleanu and Varshini Sandrasekaran

Statistics & Probability Letters, 2024, vol. 215, issue C

Abstract: This paper is devoted to presenting an averaging principle for Hilfer fractional stochastic differential pantograph equations (HFSDPEs). The probability of the solutions to averaged stochastic systems in the means square sence can be used to approximate the solutions to HFSDPEs under appropriate non-Lipschitz conditions. Furthermore, certain previous results have been significantly generalised by our results. Finally, an example is given to demonstrate the feasibility of the results.

Keywords: Averaging principle; Hilfer fractional stochastic differential system; Means square; Pantograph equations; Probability (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2024.110221

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