- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 6 Issue: 4
- Picard and Picard-Krasnoselskii iteration methods for generalized proportional Hadamard fractional i...
Picard and Picard-Krasnoselskii iteration methods for generalized proportional Hadamard fractional integral equations
Authors : Mohamed ABBAS
Pages : 538-546
Doi:10.31197/atnaa.1070142
View : 5 | Download : 1
Publication Date : 2022-12-30
Article Type : Research
Abstract :In the current paper, some existence and uniqueness results for a generalized proportional Hadamard fractional integral equation are established via Picard and Picard-Krasnoselskii iteration methods together with the Banach contraction principle. A simulative example was provided to verify the applicability of the theoretical findings.Keywords : Picard method, Picard-Krasnoselskii method, Proportional Hadamard fractional integral