@article{Rizk2022, 
author = {Doaa Rizk and Nizar Souayah and Nabil Mlaiki},
title = {Fixed point approach to solve fractional differential equations in        S          J      S      -metric spaces},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {8},
pages = {15680-15692},
keywords = {fixed point, SJS-metric spaces, system of linear equations, fractional differential equations},
url = {https://www.sciopen.com/article/10.3934/math.2022858},
doi = {10.3934/math.2022858},
abstract = {This study aims to establish a new fixed point theorem in the framework of        S          J      S      -metric spaces, recently introduced by Beg et al. We propose different principles of contraction using various techniques. The theorems obtained represent a new framework for other future work in the considered space. Also, we provide two applications of our results to linear system of equations and the following fractional differential equation         (    P    )    :      {                                        D                          λ                                x          (          t          )                          =                          f          (          t          ,          x          (          t          )          )          =          F          x          (          t          )                      i            f                    t          ∈                      I            0                    =          (          0          ,          T          ]                                      x          (          0          )                          =                          x          (          T          )          =          r                                }    .These applications show the effectiveness of our approach as a powerful tool for solving several types of differential equations.}
}