An explicit and numerical solutions of the fractional KdV equation
Mathematics and Computers in Simulation
Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
Decomposition methods: A new proof of convergence
Mathematical and Computer Modelling: An International Journal
Analytical and numerical solutions of multi-term nonlinear fractional orders differential equations
Applied Numerical Mathematics
Numerical approaches to fractional calculus and fractional ordinary differential equation
Journal of Computational Physics
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
A new stochastic approach for solution of Riccati differential equation of fractional order
Annals of Mathematics and Artificial Intelligence
An Operational Haar Wavelet Method for Solving Fractional Volterra Integral Equations
International Journal of Applied Mathematics and Computer Science - Issues in Advanced Control and Diagnosis
Mathematics and Computers in Simulation
Computers & Mathematics with Applications
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In this paper, a novel algorithm based on Adomian decomposition for fractional differential equations is proposed. Comparing the present method with the fractional Adams method, we use this derived computational method to find a smaller ''efficient dimension'' such that the fractional Lorenz equation is chaotic. We also apply this new method to the time-fractional Burgers equation with initial and boundary value conditions. Numerical results and computer graphics show that the constructed numerical is efficient.