Fundamental solutions and Cauchy problems for an odd-order partial differential equation with fractional derivative

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dc.contributor.authorPskhu, Arsen
dc.date.accessioned2021-10-15T16:52:19Z
dc.date.available2021-10-15T16:52:19Z
dc.date.issued2019-02-04
dc.description.abstractIn 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationPskhu, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14663
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectFractional derivative
dc.subjectHigher order PDE
dc.subjectCauchy problem
dc.titleFundamental solutions and Cauchy problems for an odd-order partial differential equation with fractional derivative
dc.typeArticle

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