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Nikoletty problem for a system of differential equations of fractional order

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We obtain sufficient conditions for the existence and uniqueness of a solution of the Nikoletty problem for a system of differential equations of fractional order.

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References

  1. N. I. Muskhelishvili, Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics [in Russian], Nauka, Moscow (1968); English translation: Dover, New York (2008).

    Google Scholar 

  2. A. M. Nakhushev, Elements of Fractional Calculus and Their Application [in Russian], Nal’chik (2000).

  3. S. G. Samko, A. A. Kilbas, and O. N. Marichev, Fractional Integrals and Derivatives: Theory and Applications [in Russian], Nauka i Tekhnika, Minsk (1987); English translation: Gordon and Breach, Newark (1993).

    Google Scholar 

  4. E. C. Titchmarsh, The Theory of Functions, Clarendon Press, Oxford (1976).

    Google Scholar 

  5. V. C. L. Hutson and J. S. Pym, Applications of Functional Analysis and Operator Theory, Academic Press, London (1980).

    MATH  Google Scholar 

  6. S. D. Éidel’man and A. A. Chikrii, “Dynamic game problems of approach for fractional-order equations,” Ukr. Mat. Zh., 52, No. 11, 1566–1583 (2000); English translation: Ukr. Math. J., 52, No. 11, 1787–1806 (2000).

    MATH  Google Scholar 

  7. A. A. Kilbas and S. A. Marzan, “Cauchy problem for differential equation with Caputo derivative,” Fract. Calc. Appl. Anal., 7, No. 3, 297–321 (2004).

    MATH  MathSciNet  Google Scholar 

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 52, No. 1, pp. 43–47, January–March, 2009.

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Golushkov, A.V. Nikoletty problem for a system of differential equations of fractional order. J Math Sci 168, 556–562 (2010). https://doi.org/10.1007/s10958-010-0006-y

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