Analytical approximate solutions for nonlinear fractional differential equations
Applied Mathematics and Computation
Chaos and Time-Series Analysis
Chaos and Time-Series Analysis
Variational iteration method: New development and applications
Computers & Mathematics with Applications
An elementary introduction to the homotopy perturbation method
Computers & Mathematics with Applications
A multi-step differential transform method and application to non-chaotic or chaotic systems
Computers & Mathematics with Applications
International Journal of Computer Mathematics
Computers & Mathematics with Applications
Theoretical model for the electrospinning nanoporous materials process
Computers & Mathematics with Applications
Computational Mathematics and Modeling
Fully discrete local discontinuous Galerkin method for solving the fractional telegraph equation
Calcolo: a quarterly on numerical analysis and theory of computation
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Nonlinear differential equations with fractional derivatives give general representations of real life phenomena. In this paper, a modification of the differential transform method (DTM) for solving the nonlinear fractional differential equation is introduced for the first time. The new algorithm is simple and gives an accurate solution. Moreover the new solution is continuous and analytic on each subinterval. A fractional Chen system is considered, to demonstrate the efficiency of the algorithm. The results obtained show good agreement with the generalized Adams-Bashforth-Moulton method.