$L^p$-existence of mild solutions of fractional differential equations in Banach space

author

  • Adel Jawahdou Carthage University, Department of Mathematics, Bizerte Preparatory Engineering Institute, Tunisia
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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