Existence of solutions for fractional differential inclusions with nonlocal Riemann-Liouville integral boundary conditions

Title:

Existence of solutions for fractional differential inclusions with nonlocal Riemann-Liouville integral boundary conditions

Creator:

Ahmad, Bashir and Ntouyas, Sotiris

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:fbc3a25d-bc2c-40e1-a42c-47c4555b5abb
uuid:fbc3a25d-bc2c-40e1-a42c-47c4555b5abb
doi:10.21136/MB.2014.143936

Subject:

differential inclusion, nonlocal condition, integral boundary condition, Leray Schauder alternative, and fixed point theorem

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, we discuss the existence of solutions for a boundary value problem of fractional differential inclusions with nonlocal Riemann-Liouville integral boundary conditions. Our results include the cases when the multivalued map involved in the problem is (i) convex valued, (ii) lower semicontinuous with nonempty closed and decomposable values and (iii) nonconvex valued. In case (i) we apply a nonlinear alternative of Leray-Schauder type, in the second case we combine the nonlinear alternative of Leray-Schauder type for single-valued maps with a selection theorem due to Bressan and Colombo, while in the third case we use a fixed point theorem for multivalued contractions due to Covitz and Nadler.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

451-465

Source:

Mathematica bohemica | 2014 Volume:139 | Number:3

Harvested from:

CDK

Metadata only:

false