@article{Bota2022, 
author = {Monica-Felicia Bota and Liliana Guran},
title = {Existence of a solution of fractional differential equations using the fixed point technique in extended    b-metric spaces},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {1},
pages = {518-535},
keywords = {fixed point, extended b-metric space, φ-contraction, α-φ-contraction, well-posedness, integral equations, fractional differential equations},
url = {https://www.sciopen.com/article/10.3934/math.2022033},
doi = {10.3934/math.2022033},
abstract = {The purpose of the present paper is to prove some fixed point results for cyclic-type operators in extended    b-metric spaces. The considered operators are generalized    φ-contractions and    α-   φ contractions. The last section is devoted to applications to integral type equations and nonlinear fractional differential equations using the Atangana-Bǎleanu fractional operator.}
}