Email this article The Weighted Cauchy Type Problem and Cauchy Problem for the Linear Barbashin Integro-Differential Equations with Fractional Partial Derivative
- Authors: Kalitvin A.S.1, Kalitvin V.A.1
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Affiliations:
- Lipetsk State Pedagogical University
- Issue: Vol 219, No 1 (2016)
- Pages: 125-132
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/238476
- DOI: https://doi.org/10.1007/s10958-016-3088-3
- ID: 238476
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Abstract
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.
About the authors
A. S. Kalitvin
Lipetsk State Pedagogical University
Author for correspondence.
Email: kalitvin@mail.ru
Russian Federation, 42, Lenina St., Lipetsk, 398020
V. A. Kalitvin
Lipetsk State Pedagogical University
Email: kalitvin@mail.ru
Russian Federation, 42, Lenina St., Lipetsk, 398020
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