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The Weighted Cauchy Type Problem and Cauchy Problem for the Linear Barbashin Integro-Differential Equations with Fractional Partial Derivative

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We establish the existence and uniqueness conditions for the weighted Cauchy type problem and the Cauchy problem for the linear Barbashin integro-differential equation with fractional partial derivative of order 0 < α ≤ 1 in the sense of Riemann–Liouville and Caputo. Bibliography: 8 titles.

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References

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Authors and Affiliations

  1. Lipetsk State Pedagogical University, 42, Lenina St., Lipetsk, 398020, Russia

    A. S. Kalitvin & V. A. Kalitvin

Authors
  1. A. S. Kalitvin
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  2. V. A. Kalitvin
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Correspondence to A. S. Kalitvin.

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Translated from Problemy Matematicheskogo Analiza 85, June 2016, pp. 119-125.

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Kalitvin, A.S., Kalitvin, V.A. The Weighted Cauchy Type Problem and Cauchy Problem for the Linear Barbashin Integro-Differential Equations with Fractional Partial Derivative. J Math Sci 219, 125–132 (2016). https://doi.org/10.1007/s10958-016-3088-3

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  • DOI: https://doi.org/10.1007/s10958-016-3088-3

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