Fractional Calculus can be thought of as a generalization of conventional calculus in the sense that it extends the concept of a derivative (integral) to include non-integer orders. Effective mathematical modeling using Fractional Differential Equations (FDEs) requires the development of reliable flexible numerical methods. The study begins by reviewing a selection of numerical methods for the solution of Single-term and Multi-term FDEs. The study introduces several methods for the numerical solution of single-term fractional differential equations (FDEs). More detail on some of the methods, speed up algorithms and additional methods can be found in the previous work. The convergence and the accuracy of the method for linear and nonlinear equations are demonstrated through well corroborated numerical results.
Distributed Order Differential Equations, Fractional Differential Equations, Numerical Methods, Multi Term FDEs, Single Term FDEs
