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Intermediate value problems for fractional differential equations

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Fractional differential equation approach is frequently used to describe long-term interactions in nonlinear systems. However, it results in difficulty in inverse problems as well as the numerical treatment. Numerical analysis… Click to show full abstract

Fractional differential equation approach is frequently used to describe long-term interactions in nonlinear systems. However, it results in difficulty in inverse problems as well as the numerical treatment. Numerical analysis of intermediate value problems and the well-posedness are investigated in this study. Two high order numerical methods for solving intermediate value problems are proposed. Convergence and sensitivity analysis are provided. A comparison is provided by a well-chosen example. The estimated order of the convergence shows the sharpness of our analysis.

Keywords: intermediate value; fractional differential; differential equations; problems fractional; value problems

Journal Title: Computational and Applied Mathematics
Year Published: 2021

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