@Article{cmes.2022.020781,
AUTHOR = {Mustafa Turkyilmazoglu},
TITLE = {An Efficient Computational Method for Differential Equations of Fractional Type},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {133},
YEAR = {2022},
NUMBER = {1},
PAGES = {47--65},
URL = {http://www.techscience.com/CMES/v133n1/48849},
ISSN = {1526-1506},
ABSTRACT = {An effective solution method of fractional ordinary and partial differential equations is proposed in the present
paper. The standard Adomian Decomposition Method (ADM) is modified via introducing a functional term
involving both a variable and a parameter. A residual approach is then adopted to identify the optimal value
of the embedded parameter within the frame of <i>L</i><sup>2</sup> norm. Numerical experiments on sample problems of open
literature prove that the presented algorithm is quite accurate, more advantageous over the traditional ADM and
straightforward to implement for the fractional ordinary and partial differential equations of the recent focus of
mathematical models. Better performance of the method is further evidenced against some compared commonly
used numerical techniques.},
DOI = {10.32604/cmes.2022.020781}
}