Existence Results for Fractional Differential Inclusions withMultivalued Term Depending on Lower‐Order Derivative | Zendy

Xiaoyou Liu | Zendy; Zhenhai Liu | Zendy

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Existence Results for Fractional Differential Inclusions withMultivalued Term Depending on Lower‐Order Derivative

Author(s) -

Xiaoyou Liu,

Zhenhai Liu

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/423796

Subject(s) - mathematics , fractional calculus , differential inclusion , term (time) , generalization , regular polygon , order (exchange) , mathematical analysis , convex function , boundary (topology) , boundary value problem , derivative (finance) , class (philosophy) , fixed point theorem , pure mathematics , geometry , physics , finance , quantum mechanics , artificial intelligence , computer science , financial economics , economics

This paper is concerned with a class of fractional differential inclusions whose multivalued term depends on lower-order fractional derivative with fractional (non)separated boundary conditions. The cases of convex-valued and non-convex-valued right-hand sides are considered. Some existence results are obtained by using standard fixed point theorems. A possible generalization for the inclusion problem with integral boundary conditions is also discussed. Examples are given to illustrate the results

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