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.
Jawahdou, A. (2019). $L^p$-existence of mild solutions of fractional differential equations in Banach space. Computational Methods for Differential Equations, 7(1), 105-116.
MLA
Adel Jawahdou. "$L^p$-existence of mild solutions of fractional differential equations in Banach space". Computational Methods for Differential Equations, 7, 1, 2019, 105-116.
HARVARD
Jawahdou, A. (2019). '$L^p$-existence of mild solutions of fractional differential equations in Banach space', Computational Methods for Differential Equations, 7(1), pp. 105-116.
VANCOUVER
Jawahdou, A. $L^p$-existence of mild solutions of fractional differential equations in Banach space. Computational Methods for Differential Equations, 2019; 7(1): 105-116.
)
