Numerical Treatment of Two-Point Boundary Value Problems of Fractional Di¤erential Equations
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We consider the numerical treatment of two-point boundary value prob- lems of fractional di¤erential equations with Caputos derivatives of order γ where 1 < γ < 2. We introduce the fractional Green functions in order to prove the existence and uniqueness of the solutions to the problem. Numerically, we introduce the simple shooting method for linear and nonlinear problems. The results obtained are accurate and competes well with results by other authors using di¤erent approaches.
Abstract
We consider the numerical treatment of two-point boundary value prob- lems of fractional di¤erential equations with Caputos derivatives of order γ where 1 < γ < 2. We introduce the fractional Green functions in order to prove the existence and uniqueness of the solutions to the problem. Numerically, we introduce the simple shooting method for linear and nonlinear problems. The results obtained are accurate and competes well with results by other authors using di¤erent approaches.
참고문헌 (16)
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