Generalized uniformly continuous solution operators and inhomogeneous fractional evolution equations with variable coefficients

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dc.contributor.authorJapundzic, Milos
dc.contributor.authorRajter-Ciric, Danijela
dc.date.accessioned2022-09-26T17:52:39Z
dc.date.available2022-09-26T17:52:39Z
dc.date.issued2017-11-27
dc.description.abstractWe consider Cauchy problem for inhomogeneous fractional evolution equations with Caputo fractional derivatives of order 0 < α < 1 and variable coefficients depending on x. In order to solve this problem we introduce generalized uniformly continuous solution operators and use them to obtain the unique solution on a certain Colombeau space. In our solving procedure, instead of the original problem we solve a certain approximate problem, but therefore we also prove that the solutions of these two problems are associated. At the end, we illustrate the applications of the developed theory by giving some appropriate examples.
dc.description.departmentMathematics
dc.formatText
dc.format.extent24 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationJapundzic, M., & Rajter-Ciric, D. (2017). Generalized uniformly continuous solution operators and inhomogeneous fractional evolution equations with variable coefficients. <i>Electronic Journal of Differential Equations, 2017</i>(293), pp. 1-24.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16165
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.subjectFractional evolution equation
dc.subjectFractional Duhamel principle
dc.subjectGeneralized Colombeau solution operator
dc.subjectFractional derivative
dc.subjectMittag-Leffler type function
dc.titleGeneralized uniformly continuous solution operators and inhomogeneous fractional evolution equations with variable coefficients
dc.typeArticle

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