Matrix approach to discrete fractional calculus III: non-equidistant grids, variable step length and distributed orders
نویسندگان
چکیده
منابع مشابه
Matrix approach to discrete fractional calculus III: non-equidistant grids, variable step length and distributed orders.
In this paper, we further develop Podlubny's matrix approach to discretization of integrals and derivatives of non-integer order. Numerical integration and differentiation on non-equidistant grids is introduced and illustrated by several examples of numerical solution of differential equations with fractional derivatives of constant orders and with distributed-order derivatives. In this paper, ...
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ژورنال
عنوان ژورنال: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2013
ISSN: 1364-503X,1471-2962
DOI: 10.1098/rsta.2012.0153