Higher order Grünwald approximations of fractional derivatives and fractional powers of operators
نویسندگان
چکیده
منابع مشابه
An Expansion Formula with Higher-Order Derivatives for Fractional Operators of Variable Order
We obtain approximation formulas for fractional integrals and derivatives of Riemann-Liouville and Marchaud types with a variable fractional order. The approximations involve integer-order derivatives only. An estimation for the error is given. The efficiency of the approximation method is illustrated with examples. As applications, we show how the obtained results are useful to solve different...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2014
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2014-05887-x