TẠP CHÍ KHOA HỌC CÔNG NGHỆ VÀ THỰC PHẨM, T. 18, S. 2 (2019)

Cỡ chữ:  Nhỏ  Vừa  Lớn

ON NONLOCAL BVPs FOR DIFFERENTIAL INCLUSIONS OF FRACTIONAL ORDER

Phan Dinh Phung

Tóm tắt


In this paper, we consider a class of boundary value problems (BVPs) in a separable Banach space E, which is a fractional differential inclusion associated with multipoint bounday conditions, of the form

where  is the Riemann-Liouville fractional derivative operator of order  F is a closed valued multifuction. With some certain suitable conditions we prove that the set of the solutions to the problem is nonempty and is a retract in space

Keywords: fractional differential inclusion, boundary value problem, Green’s function, contractive set valued-map, retract.


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