@article{Aljurbua2024, 
author = {Saleh Fahad Aljurbua},
title = {Extended existence results of solutions for FDEs of order    1  <  γ  ≤  2},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {5},
pages = {13077-13086},
keywords = {fractional derivatives, differential equations, fractional differential equations (FDEs), existence of solutions, fixed-point theorem},
url = {https://www.sciopen.com/article/10.3934/math.2024638},
doi = {10.3934/math.2024638},
abstract = {The focus of our investigation was on determining the existence of solutions for fractional differential equations (FDEs) of order    1  <  γ  ≤  2 involving the boundary conditions        κ          0        ϕ  (  0  )  +      η          0        ϕ  (  v  )  =      μ          0      , and        κ          1            ϕ                          ′              (  0  )  +      η          1            ϕ                          ′              (  v  )  =      μ          1      , for        κ    i    ,      η    i    ,      μ    i    ∈            R              +      . The existence results were based on the Schauder fixed point theorem and the nonlinear alternative of the Leray-Schauder type. Examples were provided to illustrate the results.}
}