TY - JOUR
T1 - On the existence of positive solutions for a non-autonomous fractional differential equation with integral boundary conditions
AU - Babakhani, Azizollah
AU - Al-Mdallal, Qasem M.
N1 - Publisher Copyright:
© Computational Methods for Differential Equations.
PY - 2021/1
Y1 - 2021/1
N2 - By using the Guo-Krasnoselskii’s fixed point theorem, we investigate the existence of positive solutions for a non-autonomous fractional differential equations with integral boundary conditions of fractional order α ∈ (2, 3] in an ordered Banach space. The Fredholm integral equation has an important role in this article. Some examples are presented to illustrate the efficiency of the obtained results.
AB - By using the Guo-Krasnoselskii’s fixed point theorem, we investigate the existence of positive solutions for a non-autonomous fractional differential equations with integral boundary conditions of fractional order α ∈ (2, 3] in an ordered Banach space. The Fredholm integral equation has an important role in this article. Some examples are presented to illustrate the efficiency of the obtained results.
KW - Caputo fractional derivative
KW - Fredholm integral equation
KW - Integral boundary conditions
UR - http://www.scopus.com/inward/record.url?scp=85151026108&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85151026108&partnerID=8YFLogxK
U2 - 10.22034/cmde.2020.29444.1420
DO - 10.22034/cmde.2020.29444.1420
M3 - Article
AN - SCOPUS:85151026108
SN - 2345-3982
VL - 9
SP - 36
EP - 51
JO - Computational Methods for Differential Equations
JF - Computational Methods for Differential Equations
IS - 1
ER -