<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We study the existence of solutions for fractional integrodifferential inclusions of order <italic>q</italic> ∈ (1, 2] swith families of mixed, closed, strip and integral boundary conditions. We establish Filippov type existence results in the case of nonconvex set-valued maps.</p></abstract>

We study the existence of solutions for fractional integrodifferential inclusions of order q ∈ (1, 2] swith families of mixed, closed, strip and integral boundary conditions. We establish Filippov type existence results in the case of nonconvex set-valued maps.

Some remarks on a fractional integro-differential inclusion with boundary conditions

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

We study the existence of solutions for fractional integrodifferential inclusions of order q ∈ (1, 2] swith families of mixed, closed, strip and integral...

Some remarks on a fractional integro-differential inclusion with boundary conditions

Published Online: Apr 04, 2017

Page range: 73 - 82

Received: Apr 20, 2014

Accepted: Jun 30, 2014

DOI: https://doi.org/10.1515/auom-2015-0006

Keywords
Differential inclusion, Fractional derivative, Boundary condition

© 2015 Aurelian Cernea, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Some remarks on a fractional integro-differential inclusion with boundary conditions

Published Online: Apr 04, 2017

Page range: 73 - 82

Received: Apr 20, 2014

Accepted: Jun 30, 2014

DOI: https://doi.org/10.1515/auom-2015-0006

KeywordsDifferential inclusion, Fractional derivative, Boundary condition

© 2015 Aurelian Cernea, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Differential inclusion, Fractional derivative, Boundary condition