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  • Advances in the Theory of Nonlinear Analysis and its Application
  • Volume: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 : 9 | Download : 4
Publication Date : 2022-12-30
Article Type : Research Paper
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

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