The Weighted Cauchy Type Problem and Cauchy Problem for the Linear Barbashin Integro-Differential Equations with Fractional Partial Derivative
| Autor: | V. A. Kalitvin, A. S. Kalitvin |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
Cauchy problem Cauchy's convergence test Applied Mathematics General Mathematics Mathematical analysis Mathematics::Analysis of PDEs Cauchy distribution Elliptic partial differential equation Cauchy principal value Cauchy boundary condition Cauchy's integral theorem Cauchy matrix Mathematics |
| Zdroj: | Journal of Mathematical Sciences. 219:125-132 |
| ISSN: | 1573-8795 1072-3374 |
| DOI: | 10.1007/s10958-016-3088-3 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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