WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 19, 2024
Fareeha Transform Performance In Solving Fractional Differential Telegraph Equations Combining Adomian Decomposition Method
Authors: Nguyen Minh Tuan, Sanoe Koonprasert, Phayung Meesad
Abstract: Transformations have successfully outperformed a significant role in solving differential equations and have been applied in large-scale aspects of science. Fareeha transform has been illustrated effectively in data compression based on containing more information of the transform. In this paper, we expand the fractional Fareeha transform in the Caputo derivative sense combining the Adomian Decomposition Method to seek the solutions of fractional differential telegraph equations. The results of practical utilization have also been significantly shown successful in solving fractional telegraph differential equations.
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Keywords: Fareeha Transform, ADM method, Laplace-typed transform, Time-fractional telegraph equations
Pages: 85-97
DOI: 10.37394/23203.2024.19.9
WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 19, 2024, Art. #9