Analytical approximate solutions for nonlinear fractional differential equations
Applied Mathematics and Computation
An explicit and numerical solutions of the fractional KdV equation
Mathematics and Computers in Simulation
Solving a system of nonlinear fractional differential equations using Adomian decomposition
Journal of Computational and Applied Mathematics
An efficient method for solving systems of fractional integro-differential equations
Computers & Mathematics with Applications
Numerical approach to differential equations of fractional order
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Computers & Mathematics with Applications
The short memory principle for solving Abel differential equation of fractional order
Computers & Mathematics with Applications
Analytical solution of the linear fractional system of commensurate order
Computers & Mathematics with Applications
Improved matrix transform method for the Riesz space fractional reaction dispersion equation
Journal of Computational and Applied Mathematics
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This paper presents approximate analytical solutions for systems of fractional differential equations using the differential transform method. The fractional derivatives are described in the Caputo sense. The application of differential transform method, developed for differential equations of integer order, is extended to derive approximate analytical solutions of systems of fractional differential equations. The solutions of our model equations are calculated in the form of convergent series with easily computable components. Some examples are solved as illustrations, using symbolic computation. The numerical results show that the approach is easy to implement and accurate when applied to systems of fractional differential equations. The method introduces a promising tool for solving many linear and nonlinear fractional differential equations.