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SIMULATION OF FRACTIONAL DIFFERENTIAL DIFFERENCE EQUATION VIA RESIDUAL POWER SERIES METHOD

ABSTRACT
In the present article, the fractional order differential difference equation is solved by using the residual power series method. Residual power series method solutions for classical and fractional order are obtained in a series form showing good accuracy of the method. Illustrative models are considered to affirm the legitimacy of the technique. The accuracy of the chosen problems is represented by tables and plots which show good accuracy between the exact and assimilated solutions of the models.
KEYWORDS
PAPER SUBMITTED: 2022-05-11
PAPER REVISED: 2022-05-24
PAPER ACCEPTED: 2022-06-01
PUBLISHED ONLINE: 2023-04-08
DOI REFERENCE: https://doi.org/10.2298/TSCI23S1111N
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Special issue 1, PAGES [111 - 119]
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© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence