In this article, we construct a fundamental solution of a higher-order equation with time-fractional derivative, give a representation for a solution of the Cauchy problem, and prove the uniqueness theorem in the class of functions satisfying an analogue of Tychonoff's condition.
Submitted July 4, 2018. Published February 4, 2019.
Math Subject Classifications: 35R11, 35G10.
Key Words: Fractional derivative; higher order PDE; Cauchy problem.
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| Arsen Pskhu |
Institute of Applied Mathematics and Automation KBSC RAS
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