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Existence of global mild solutions for a class of fractional partial functional differential equations
Author(s) -
Xi XuanXuan,
Hou Mimi,
Zhou XianFeng
Publication year - 2021
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.5885
Subject(s) - mathematics , banach space , c0 semigroup , fixed point theorem , resolvent , contraction principle , resolvent formalism , contraction mapping , class (philosophy) , mathematical analysis , partial differential equation , functional analysis , pure mathematics , fixed point , fractional calculus , finite rank operator , biochemistry , chemistry , artificial intelligence , computer science , gene
This paper is concerned with a class of fractional partial functional differential equations with nonlocal conditions in Banach spaces. By using the theories of resolvent operator, the Schauder fixed point theorem and the Banach contraction mapping principle, we obtain the sufficient conditions for the local and global existence of the mild solution.