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In this introductory chapter, we present definitions and properties regarding fractional derivatives and integrals. The main focus concerns the Riemann-Liouville fractional derivative and its properties when the function is defined on a finite interval. In the end, we present results that link this fractional derivative with the also well known Grünwald-Letnikov fractional derivative and the Caputo fractional derivative.

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Fractional Derivatives: Fundamental Concepts

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  • 发表日期：

    2026年

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  • Ercília Sousa

摘要

In this introductory chapter, we present definitions and properties regarding fractional derivatives and integrals. The main focus concerns the Riemann-Liouville fractional derivative and its properties when the function is defined on a finite interval. In the end, we present results that link this fractional derivative with the also well known Grünwald-Letnikov fractional derivative and the Caputo fractional derivative.