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Measures of Noncompactness in the Space of Continuous and Bounded Functions Defined on the Real Half-Axis Read chapter Read first chapter

2017 | OriginalPaper | Chapter

10. On the Aronszajn Property for Differential Equations of Fractional Order in Banach Spaces

Author : Aldona Dutkiewicz

Published in: Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

Publisher: Springer Singapore

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Abstract

In this chapter, we present a survey of results concerning some topological properties of solution sets of differential and integro-differential equations of fractional order in Banach spaces. In particular, starting from the fundamental results about Aronszajn type properties and giving detailed description of the methods, we use them to investigate the topological structure of solution sets for some fractional equations. Our assumptions and proofs are expressed in terms of the Kuratowski measure of noncompactness.

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previous chapter Partial Hadamard-Stieltjes Fractional Integral Equations in Banach Spaces
next chapter On the Qualitative Behaviors of Nonlinear Functional Differential Systems of Third Order
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Metadata
Title
On the Aronszajn Property for Differential Equations of Fractional Order in Banach Spaces
Author
Aldona Dutkiewicz
Copyright Year
2017
Publisher
Springer Singapore
Book
Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

Print ISBN: 978-981-10-3721-4

Electronic ISBN: 978-981-10-3722-1

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-981-10-3722-1_10

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