Fundamental solutions and Cauchy problems for an odd-order partial differential equation with fractional derivative
Date
2019-02-04
Authors
Pskhu, Arsen
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Fractional derivative, Higher order PDE, Cauchy problem
Citation
Pskhu, A. (2019). Fundamental solutions and Cauchy problems for an odd-order partial differential equation with fractional derivative. <i>Electronic Journal of Differential Equations, 2019</i>(21), pp. 1-13.
Rights
Attribution 4.0 International