Properties on measure pseudo almost automorphic functions and applications to fractional differential equations in Banach spaces
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 t...
| Hlavní autoři: | , |
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| Médium: | Článek |
| Jazyk: | English |
| Vydáno: |
Texas State University
2018-02-01
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| Edice: | Electronic Journal of Differential Equations |
| Témata: | |
| On-line přístup: | http://ejde.math.txstate.edu/Volumes/2018/47/abstr.html |
| Shrnutí: | 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. |
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| ISSN: | 1072-6691 |