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From the end of the last decade of the twentieth century and the beginning of the first decade of the twenty-first century there was a great proliferation of derivatives, always with the purpose of generalizing the classics derivative from the calculus of integer order. Many, although containing the fractional name, are only a multiplicative factor ahead of the derivative of order one, as well as others, proposing as kernel a nonsingular function.

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Fractional Derivatives

  • 章节

  • 发表日期：

    2025年

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  • Edmundo Capelas de Oliveira,
  • Jayme Vaz

摘要

From the end of the last decade of the twentieth century and the beginning of the first decade of the twenty-first century there was a great proliferation of derivatives, always with the purpose of generalizing the classics derivative from the calculus of integer order. Many, although containing the fractional name, are only a multiplicative factor ahead of the derivative of order one, as well as others, proposing as kernel a nonsingular function.