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Fuzzy transform-based approximation method for solving fractional semi-explicit differential-algebraic equations
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DOI：10.1007/s00500-022-07638-z.png)
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We present an efficient numerical method to approximate the solution of a system of fractional-order linear semi-explicit differential-algebraic equations with variable coefficients. The method is based on the use of the direct and inverse fuzzy transforms (F-transforms). By employing this method, we obtain an analytical approximate solution to the main problem in terms of flexible basic functions. The non-local property of fuzzy transforms helps us to have an efficient method for problems involving non-singular kernels. The error analysis and convergence evaluation of the method are demonstrated in detail. We give some examples to illustrate the significant features of the method.
Keyword:
Fractional differential equations
Differential-algebraic equations
Fuzzy partition
Fuzzy transforms
期刊
IF:
2.5
论文数:
1.0W
被引数:
2.1W
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