NUMERICAL SOLUTION FOR TIME-FRACTIONAL MURRAY REACTION-DIFFUSION
EQUATIONS VIA REDUCED DIFFERENTIAL TRANSFORM METHOD
Abstract
In this study, solutions of time-fractional differential equations that
emerge from science and engineering have been investigated by employing
reduced differential transform method. Initially, the definition of the
derivatives with fractional order and their important features are
given. Afterwards, by employing the Caputo derivative, reduced
differential transform method has been introduced. Finally, the
numerical solutions of the fractional order Murray equation have been
obtained by utilizing reduced differential transform method and results
have been compared through graphs and tables. Keywords: Time-fractional
differential equations, Reduced differential transform methods, Murray
equations, Caputo fractional derivative.