Open AccessCaputo-Fabrizio fractional differential equations in Frechet spaces
Author(s) -
Saı̈d Abbas,
Mouffak Benchohra,
Hafsa Gorine
Publication year - 2020
Publication title -
bulletin of the "transilvania" university of braşov. series iii, mathematics, informatics, physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.203
H-Index - 5
eISSN - 2065-216X
pISSN - 2065-2151
DOI - 10.31926/but.mif.2020.13.62.2.1
Subject(s) - mathematics , generalization , uniqueness , fixed point theorem , picard–lindelöf theorem , mathematical analysis , class (philosophy) , differential equation , measure (data warehouse) , fractional calculus , pure mathematics , computer science , database , artificial intelligence
This paper deals with some existence and uniqueness of solutions for a class of functional Caputo-Fabrizio fractional differential equations. Some applications are made of a generalization of the classical Darbo fixed point theorem for Frechet spaces associate with the concept of measure of noncompactness. The last section illustrates our results with some examples.