Inverse source Cauchy problem for a time fractional diffusion-wave equation with distributions

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dc.contributor.authorLopushansky, Andrzej
dc.contributor.authorLopushanska, Halyna
dc.date.accessioned2022-06-08T19:03:27Z
dc.date.available2022-06-08T19:03:27Z
dc.date.issued2017-07-18
dc.description.abstractWe study the inverse Cauchy problem for a time fractional diffusion-wave equation with distributions in right-hand sides. The problem is to find a solution (continuous in time in generalized sense) of the direct problem and an unknown continuous time-dependent part of a source. The unique solvability of the problem is established.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLopushansky, A., & Lopushanska, H. (2017). Inverse source Cauchy problem for a time fractional diffusion-wave equation with distributions. Electronic Journal of Differential Equations, 2017(182), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15875
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, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectDistribution
dc.subjectFractional derivative
dc.subjectInverse problem
dc.subjectGreen vector-function
dc.titleInverse source Cauchy problem for a time fractional diffusion-wave equation with distributions
dc.typeArticle

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