M. S. Afanasova, “On the Cauchy problem for a functional differential inclusion of fractional order with a general initial condition in a Banach space”, Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 122,Pages <nobr>180

On the Cauchy problem for a functional differential inclusion of fractional order with a general initial condition in a Banach space

M. S. Afanasova

Voronezh State University

Abstract: In this paper we consider the Cauchy problem for a functional differential inclusion of fractional order with a general initial condition in a Banach space.

Keywords: differential inclusion, the fractional derivative, the Cauchy problem, MNC, fixed point, condensing multimap.

UDC: 517

Received: 29.03.2018

DOI: 10.20310/1810-0198-2018-23-122-180-186