Decay mild solutions for two-term time fractional differential equations in Banach spaces

In this paper, we deal with the nonlocal Cauchy problem for a class of two-term time fractional differential equations in Banach spaces. By constructing a suitable measure of noncompactness on the space of solutions, we prove the existence of a compact set containing decay mild solutions to the ment...

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Bibliographic Details
Published in:Journal of fixed point theory and applications 2016-06, Vol.18 (2), p.417-432
Main Author: Luong, Vu Trong
Format: Article
Language:English
Subjects:
Analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
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Summary:In this paper, we deal with the nonlocal Cauchy problem for a class of two-term time fractional differential equations in Banach spaces. By constructing a suitable measure of noncompactness on the space of solutions, we prove the existence of a compact set containing decay mild solutions to the mentioned problem.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-016-0281-4