Open AccessExistence and uniqueness of mild solutions for quasi-linear fractional integro-differential equations
Author(s) -
Priscila Santos Ramos,
J. Vanterler da C. Sousa,
E. Capelas de Oliveira
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2020100
Subject(s) - uniqueness , mathematics , controllability , banach space , hausdorff space , class (philosophy) , mathematical analysis , fixed point theorem , c0 semigroup , differential equation , hausdorff measure , pure mathematics , computer science , hausdorff dimension , artificial intelligence
We discuss the existence and uniqueness of mild solutions for a class of quasi-linear fractional integro-differential equations with impulsive conditions via Hausdorff measures of noncompactness and fixed point theory in Banach space. Mild solution controllability is discussed for two particular cases.