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The analytic solution of the fractional Rosenau--Hyman model in Liouville-Caputo sense
  • Suleyman Cetinkaya,
  • Ali Demir
Suleyman Cetinkaya
Kocaeli University

Corresponding Author:suleyman.cetinkaya@kocaeli.edu.tr

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Ali Demir
Kocaeli University
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The purpose of this work is to achieve the analytic solution of non-linear Liouville-Caputo fractional initial value problem including time fractional Rosenau–Hyman equation by means of ARA transform and iterative method. First of all, ARA transform is employed to reduce the problem into a simpler one. Then the series solution of the non-linear fractional initial value problem is acquired by applying iterative method which leads to the analytic solution of the Rosenau–Hyman equation (RHE) with initial condition. The obtained results verify that the combination of ARA transform with iterative method produces an effective method to tackle with non-linear fractional problems.
22 Mar 2023Submitted to Mathematical Methods in the Applied Sciences
22 Mar 2023Assigned to Editor
22 Mar 2023Submission Checks Completed
28 Mar 2023Review(s) Completed, Editorial Evaluation Pending
05 Apr 2023Reviewer(s) Assigned