Open Access Open Access  Restricted Access Subscription or Fee Access

Anti-periodic boundary value problems for generalized Sturm-Liouville and Langevin fractional differential inclusions via Hadamard derivative

Sotiris K. Ntouyas, Suthep Suantai, Jessada Tariboon


In this paper, we study a new class of generalized Sturm-Liouville and Langevin fractional differential inclusions via Hadamard fractional derivatives with anti-periodic boundary conditions. Some new existence results for convex as well as non-convex multivalued maps are obtained by using standard fixed point theorems. Enlighten examples illustrating the obtained results are also presented.


Sturm-Liouville fractional differential inclusions; Langevin fractional differential inclusions; Caputo-type Hadamard derivative; anti-periodic boundary value problems; fixed point theorems.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.