Titlebook: Solved Exercises in Fractional Calculus; Edmundo Capelas de Oliveira Textbook 2019 The Editor(s) (if applicable) and The Author(s), under

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Fractional Derivatives,tion 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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Textbook 2019 presented. Each chapter, except for the first one, contains a list of exercises containing suggestions for solving them and at last the resolution itself. At the end of those chapters there is a list of complementary exercises. The last chapter presents several applications of fractional calculus..

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Special Functions,ent hypergeometric function, whose differential equations present, respectively, three and two singular points, as well as particular cases, among others we mention, the Jacobi polynomials, depending on three parameters; the Laguerre polynomials and the Whittaker functions, depending on two paramete

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Mittag-Leffler Functions,n particular, a generalization of the factorial concept by the gamma function. In a similar way, we can understand why fractional calculus is an important tool for refining the description of many natural phenomena, particularly those with temporal dependence, where the called memory effect becomes

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