Existence results for fractional integral inclusions via nonlinear alternative for contractive maps

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作者
Ahmed Alsaedi
Sotiris K Ntouyas
Bashir Ahmad
Hamed H Alsulami
机构
[1] King Abdulaziz University,Department of Mathematics, Faculty of Science
[2] University of Ioannina,Department of Mathematics
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fractional differential inclusions; nonlocal boundary conditions; fixed-point theorems;
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摘要
In this paper, a new existence result is obtained for a fractional multivalued problem with fractional integral boundary conditions by applying a (Krasnoselskii type) fixed-point result for multivalued maps due to Petryshyn and Fitzpatric [Trans. Am. Math. Soc. 194:1-25, 1974]. The case for lower semi-continuous multivalued maps is also discussed. An example for the illustration of our main result is presented.
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