... continuous derivatives on [ 0 , ∞ ) and suppose that m − 1 < α ≤ m , where m ∈ N . The Caputo fractional derivative of order α is defined by: If U ( s ) = L [ T ( t ) ] denotes the Laplace transform of T ( t ) , then the Caputo derivative...

... ) , where D t γ h ( x , t ) stands for Caputo derivative of h(x,t),R be the linear and N denotes nonlinear operator, along with g(x, t), as known function. Using the Laplace transform i.e. L on equation (3) : L...

... generalized generalized Hirota‐Satsuma coupled KDV type differential equations. © Emerald Group Publishing Limited 2013 Two dimensional differential transformation method Time‐fraction generalized generalized Hirota‐Satsuma coupled KDV Caputo derivative In this work, we conceive...