@article{San2024, 
author = {Mufit San and Seyma Ramazan},
title = {A study for a higher order Riemann-Liouville fractional differential equation with weakly singularity},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {5},
pages = {3092-3112},
keywords = {weakly singular integral equation, fractional differential equation, initial value problem, global existence},
url = {https://www.sciopen.com/article/10.3934/era.2024141},
doi = {10.3934/era.2024141},
abstract = {In this paper, we study an initial value problem with a weakly singular nonlinear fractional differential equation of higher order. First, we establish the existence of global solutions to the problem within the appropriate function space. We then introduce a generalized Riemann-Liouville mean value theorem. Using this theorem, we prove the Nagumo-type uniqueness theorem for the stated problem. Moreover, we give two examples to illustrate the applicability of the existence and uniqueness theorems.}
}