@article{Ahmad2023, 
author = {Junaid Ahmad and Kifayat Ullah and Hasanen A. Hammad and Reny George},
title = {A solution of a fractional differential equation via novel fixed-point approaches in Banach spaces},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {6},
pages = {12657-12670},
keywords = {three-step iteration, differential equation, (CSC) condition, weak and strong convergence, Banach space},
url = {https://www.sciopen.com/article/10.3934/math.2023636},
doi = {10.3934/math.2023636},
abstract = {This manuscript is devoted to presenting some convergence results of a three-step iterative scheme under the Chatterjea–Suzuki–C ((CSC), for short) condition in the setting of a Banach space. Also, an example of mappings satisfying the (CSC) condition with a unique fixed point is provided. This example proves that the proposed scheme converges to a fixed point of a weak contraction faster than some known and leading schemes. Finally, our main results will be applied to find a solution to functional and fractional differential equations (FDEs) as an application.}
}