Open AccessFractional order differential inclusions on an unbounded domain with infinite delay
Author(s) -
Mohamed Helal
Publication year - 2020
Publication title -
mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.294
H-Index - 6
eISSN - 2601-744X
pISSN - 1222-9016
DOI - 10.24193/mathcluj.2020.2.06
Subject(s) - mathematics , differential inclusion , fractional calculus , nonlinear system , mathematical analysis , order (exchange) , initial value problem , contraction (grammar) , domain (mathematical analysis) , hyperbolic partial differential equation , partial derivative , type (biology) , derivative (finance) , partial differential equation , physics , medicine , finance , quantum mechanics , economics , ecology , financial economics , biology
We provide sufficient conditions for the existence of solutions to initial value problems, for partial hyperbolic differential inclusions of fractional order involving Caputo fractional derivative with infinite delay by applying the nonlinear alternative of Frigon type for multivalued admissible contraction in Frechet spaces.