On effects of a new method for fractional initial value problems
type: Item
instance of: scholarly article
title: On effects of a new method for fractional initial value problems
DOI: 10.1155/2021/7606442
author: Hulya Kodal Sevindir
author: Süleyman Çetinkaya
author: Ali Demir
published in: Advances in Mathematical Physics
publication date: 2022-01-06T00:00:00Z
review text: Summary: The aim of this study is to analyze nonlinear Liouville-Caputo time-fractional problems by a new technique which is a combination of the iterative and ARA transform methods and is denoted by IAM. First, the ARA transform method and its inverse are utilized to get rid of time fractional derivative. Later, the iterative method is applied to establish the solution of the problem in infinite series form. The main advantages of this method are that it converges to analytic solution of the problem rapidly and implementation of method is easy. Finally, outcomes of the illustrative examples prove the efficiency and accuracy of the method.
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 74-XX
zbMATH DE Number: 7452858
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/7606442
OpenAlex ID: W4200102052
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description: scientific article; zbMATH DE number 7452858