Properties on measure pseudo almost automorphic functions and applications to fractional differential equations in Banach spaces
dc.contributor.author | Chang, Yong-Kui | |
dc.contributor.author | Feng, Tian-Wei | |
dc.date.accessioned | 2022-01-07T18:14:34Z | |
dc.date.available | 2022-01-07T18:14:34Z | |
dc.date.issued | 2018-02-15 | |
dc.description.abstract | In 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.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 14 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Chang, Y. K., & Feng, T. W. (2018). Properties on measure pseudo almost automorphic functions and applications to fractional differential equations in Banach spaces. Electronic Journal of Differential Equations, 2018(47), pp. 1-14. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15103 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Composition theorems | |
dc.subject | Measure pseudo almost automorphic function | |
dc.subject | Fractional differential equation | |
dc.title | Properties on measure pseudo almost automorphic functions and applications to fractional differential equations in Banach spaces | |
dc.type | Article |