Título: Fractional Calculus: basic theory and applications (Part I).
Autores: Diego del-Castillo-Negrete


Here we introduce the notion of fractional integral as a straightforward generalization of the standard, integer-order integral, and define the fractional derivative as the inverse operation. To motivate the concept we discuss two examples: Abel's equation and heat diffusion. The concepts discussed here are further elaborated in the next section.

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