Properties on measure pseudo almost automorphic functions and applications to fractional differential equations in Banach spaces

dc.contributor.authorChang, Yong-Kui
dc.contributor.authorFeng, Tian-Wei
dc.date.accessioned2022-01-07T18:14:34Z
dc.date.available2022-01-07T18:14:34Z
dc.date.issued2018-02-15
dc.description.abstractIn this article, we establish some new composition theorems on measure pseudo almost automorphic functions via measure theory. The obtained compositions theorems generalize those established under the well-known Lipschitz conditions or the classical uniformly continuous conditions. Then using the theories of resolvent operators and fixed point theorem, we investigate the existence and uniqueness of measure pseudo almost automorphic solutions to a fractional differential equation in Banach spaces.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationChang, Y. K., & Feng, T. W. (2018). Properties on measure pseudo almost automorphic functions and applications to fractional differential equations in Banach spaces. <i>Electronic Journal of Differential Equations, 2018</i>(47), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15103
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, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectComposition theorems
dc.subjectMeasure pseudo almost automorphic function
dc.subjectFractional differential equation
dc.titleProperties on measure pseudo almost automorphic functions and applications to fractional differential equations in Banach spaces
dc.typeArticle

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