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Analytical approximate solutions of systems of fractional algebraic-differential equations by homotopy analysis method. (English) Zbl 1189.65187
Summary: We develop a framework to obtain approximate solutions to systems of algebraic-differential equations of fractional order by employing the homotopy analysis method (HAM). The study highlights the efficiency of the method and its dependence on the auxiliary parameter . Numerical examples are examined to highlight the significant features of the HAM method. The method shows improvements over existing analytical techniques
65L99Numerical methods for ODE
26A33Fractional derivatives and integrals (real functions)
34A08Fractional differential equations
34A09Implicit equations, differential-algebraic equations
34A45Theoretical approximation of solutions of ODE
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