TY - JOUR
T1 - Developments of some new results that weaken certain conditions of fractional type differential equations
AU - Bashir, Shahid
AU - Saleem, Naeem
AU - Aydi, Hassen
AU - Husnine, Syed Muhammad
AU - Rwaily, Asma Al
N1 - Publisher Copyright:
© 2021, The Author(s).
PY - 2021/12
Y1 - 2021/12
N2 - We introduce double and triple F-expanding mappings. We prove related fixed point theorems. Based on our obtained results, we also prove the existence of a solution for fractional type differential equations by using a weaker condition than the sufficient small Lipschitz constant studied by Mehmood and Ahmad (AIMS Math. 5:385–398, 2019) and Hanadi et al. (Mathematics 8:1168, 2020). As applications, we ensure the existence of a unique solution of a boundary value problem for a second-order differential equation.
AB - We introduce double and triple F-expanding mappings. We prove related fixed point theorems. Based on our obtained results, we also prove the existence of a solution for fractional type differential equations by using a weaker condition than the sufficient small Lipschitz constant studied by Mehmood and Ahmad (AIMS Math. 5:385–398, 2019) and Hanadi et al. (Mathematics 8:1168, 2020). As applications, we ensure the existence of a unique solution of a boundary value problem for a second-order differential equation.
UR - https://www.scopus.com/pages/publications/85111540284
U2 - 10.1186/s13662-021-03519-1
DO - 10.1186/s13662-021-03519-1
M3 - Article
AN - SCOPUS:85111540284
SN - 1687-1839
VL - 2021
JO - Advances in Difference Equations
JF - Advances in Difference Equations
IS - 1
M1 - 359
ER -