Hyers-Ulam stability of fractional stochastic differential equations with random impulse

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참고문헌 (25)

1. R. Agarwal, "Non-Instantaneous Impulses in Differential Equations" (2017), Springer
2. Arzu Ahmadova, "Existence and uniqueness results for a class of fractional stochastic neutral differential equations", Chaos, Solitons & Fractals, 139, pp.110253~ (2020), Elsevier BV[DOI]
3. S. Andr´as, "Ulam-Hyers stability of elliptic partial differential equations in Sobolev spaces", Appl. Math. Comput, 229, pp.131~138 (2014)[DOI]
4. A. Anguraj, "Existence and Hyers-Ulam stability of random impulsive stochastic functional integrodifferential equations with finite delays", Comput. Methods Differ. Equ, 10(1), pp.191~199 (2022)
5. A. Anguraj, "Existence and uniqueness of neutral functional differential equations with random impulses", Int. J. Nonlinear Sci, 8(4), pp.412~418 (2009)
6. A. Anguraj, "Existence, uniqueness and stability results of random impulsive semilinear differential systems", Nonlinear Anal. Hybrid Syst, 4(3), pp.475~483 (2010)[DOI]
7. E. Gselmann, "Stability properties in some classes of second order partial differential equations", Results Math, 65(1-2), pp.95~103 (2014)[DOI]
8. Jinghao Huang, "ON HYERS-ULAM STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS", 대한수학회보, 52(2), pp.685~697 (2015), 대한수학회
9. D. H. Hyers, "On the stability of the linear functional equation", Proc. Nat. Acad. Sci. U. S. A, 27, pp.222~224 (1941)[DOI]
10. S. -M. Jung, "Hyers-Ulam stability of linear differential equations of first order. II", Appl. Math. Lett, 19(9), pp.854~858 (2006)[DOI]
11. A. A. Kilbas, "Theory and applications of fractional differential equations, North-Holland Mathematics Studies, 204" (2006), Elsevier Science B.V
12. S. Li, "Existence and Hyers-Ulam stability of random impulsive stochastic functional differential equations with finite delays", Stochastics, 91(6), pp.857~872 (2019)[DOI]
13. K. S. Miller, "An Introduction to the Fractional Calculus and Fractional Differential Equations, A Wiley-Interscience Publication" (1993), John Wiley & Sons, Inc
14. I. Podlubny, "Fractional differential equations, Mathematics in Science and Engineering, 198" (1999), Academic Press, Inc
15. B. Radhakrishnan, "Existence, uniqueness and stability results for semilinear integrodifferential non-local evolution equations with random impulse", Filomat, 32(19), pp.6615~6626 (2018)[DOI]
16. R. Raja, "Passitivity analysis for uncertain discrete-time stochastic BAM neutral networks with time-varying delays", Neutral Comput. Appl, 25, pp.751~766 (2014)
17. S. M. Ulam, "A collection of mathematical problems, Interscience Tracts in Pure and Applied Mathematics, no. 8" (1960), Interscience Publishers
18. A. Vinodkumar, "Existence, uniqueness and stability of random impulsive neutral partial differential equations", J. Egyptian Math. Soc, 23(1), pp.31~36 (2015)[DOI]
19. A. Vinodkumar, "Existence, uniqueness and stability of random impulsive fractional differential equations", Acta Math. Sci. Ser. B(Engl. Ed. ), 36(2), pp.428~442 (2016)[DOI]
20. X. Wang, "Ulam-Hyers stability of Caputo-type fractional stochastic differential equations with time delays", Math. Probl. Eng, 2021, pp.5599206~5599229 (2021)[DOI]
21. S. J. Wu, "Existence and uniqueness of stochastic differential equations with random impulses and Markovian switching under non-Lipschitz conditions", Acta Math. Sin. (Engl. Ser. ), 27(3), pp.519~536 (2011)[DOI]
22. Y. Zhou, "Basic Theory of Fractional Differential Equations" (2014), World scientific
23. Q. Zhu, "Stability analysis of stochastic delay differential equations with L´evy noise", Systems Control Lett, 118, pp.62~68 (2018)[DOI]
24. Quanxin Zhu, "Stability analysis for a class of stochastic delay nonlinear systems driven by G-Brownian motion", Systems & Control Letters, 140, pp.104699~ (2020), Elsevier BV[DOI]
25. Q. Zhu, "Exponential stability of impulsive nonlinear stochastic differential equations with mixed delays", Nonlinear Anal. Real World Appl, 12(5), pp.2851~2860 (2011)[DOI]

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