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

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...

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Príomhchruthaitheoirí: Yong-Kui Chang, Tian-Wei Feng
Formáid: Alt
Teanga:English
Foilsithe / Cruthaithe: Texas State University 2018-02-01
Sraith:Electronic Journal of Differential Equations
Ábhair:
Composition theorems
measure pseudo almost automorphic function
fractional differential equation
Rochtain ar líne:http://ejde.math.txstate.edu/Volumes/2018/47/abstr.html
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Achoimre: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.
ISSN:1072-6691

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