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On fractional random differential equations with delay

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we consider the existence and uniqueness of solutions of the fractional random differential equations with delay. Moreover, some kind of boundedness of the solution is proven. Finally, the applicability of the theoretical results is illustrated with some real world examples.
Rocznik
Strony
541--556
Opis fizyczny
Bibliogr. 28 poz.
Twórcy
autor
  • Banking University Faculty of Economic Mathematics Ho Chi Minh City, Vietnam
autor
autor
Bibliografia
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  • [2] M. Benchohra, J. Henderson, S.K. Ntouyas, A. Ouahab, Existence results for fractional order functional differential equations with infinite delay, J. Math. Anal. Appl. 338 (2008), 1340-1350.
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  • [5] J. Deng, H. Qu, New uniqueness results of solutions for fractional differential equations with infinite delay, Comput. Math. Appl. 60 (2010), 2253-2259.
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  • [7] B.C. Dhage, Some algebraic and topological random fixed point theorem with applications to nonlinear random integral quations, Tamkang J. Math. 35 (2004), 321-345.
  • [8] B.C. Dhage, A random version of a Schaefer type fixed point theorem with applications to functional random integral equations, Tamkang J. Math. 35 (2004), 197-205.
  • [9] B.C. Dhage, S.V. Badgire, S.K. Ntouyas, Periodic boundary value problems of second order random, differential equations, Electron. J. Qual. Theory Differ. Equ. 21 (2009), 1-14.
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  • [18] V. Lakshmikantham, Theory of fractional functional differential equations, Nonlinear Analysis: TMA, 69 (2008) 10, 3337-3343.
  • [19] V. Lakshmikantham, A.S. Vatsala, Theory of fractional differential inequalities and applications, Commun. Math. Anal. 2 (2007), 395-402.
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  • [22] V. Lupulescu, C. Lungan, Random, dynamical systems on time scales, Electron. J. Differential Equations 86 (2012), 1-14.
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  • [24] V. Lupulescu, S.K. Ntouyas, Random fractional differential equations, Int. Electron. J. Pure Appl. Math. 4 (2012), 119-136.
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Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-dab2d85f-ce93-4608-9b6c-189160919e79
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