$L^p$-existence of mild solutions of fractional differential equations in Banach space
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Abstract:
We study the existence of mild solutions for semilinear fractional differential equations with nonlocal initial conditions in $L^p([0,1],E)$, where $E$ is a separable Banach space. The main ingredients used in the proof of our results are measure of noncompactness, Darbo and Schauder fixed point theorems. Finally, an application is proved to illustrate the results of this work.
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Journal title
volume 7 issue 1
pages 105- 116
publication date 2019-01-01
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