Approximating fixed points with applications in fractional calculus
We approximate fixed points of some iterative methods on a generalized Banach space setting. Earlier studies such as [5, 6, 7, 12] require that the operator involved is Fréchet-differentiable. In the present study we assume that the operator is only continuous. This way we extend the applicability of these methods to include generalized fractional calculus and problems from other areas. Some applications include generalized fractional calculus involving the Riemann-Liouville fractional integral and the Caputo fractional derivative. Fractional calculus is very important for its applications in many applied sciences.
Journal of Computational Analysis and Applications
Anastassiou, G., & Argyros, I. (2016). Approximating fixed points with applications in fractional calculus. Journal of Computational Analysis and Applications, 21 (7), 1225-1242. Retrieved from https://digitalcommons.memphis.edu/facpubs/4203