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Viability of differential inclusions with fractional derivative without singular kernel
Author(s) -
Girejko Ewa
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4725
Subject(s) - mathematics , differential inclusion , fractional calculus , derivative (finance) , kernel (algebra) , tangent , mathematical analysis , order (exchange) , pure mathematics , geometry , finance , financial economics , economics
In the paper, we provide sufficient conditions assuring existence of viable solutions of differential inclusions with fractional derivative without singular kernel, namely, Caputo‐Fabrizio derivative of order α ∈(0,1). A construction of an approximate solution is presented. A modified condition of tangency, according to specifity of the system with this new fractional derivative, is given.