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Abstract

Fractional calculus is a field in mathematical analysis which is a generalization of integer differential calculus that involves real or complex order derivatives and integrals [10–14, 25, 28, 43, 50–52]. There is a long history of this concept of fractional differential calculus. One might wonder what meaning could be attributed to the derivative of a fractional order, that is \(\frac{d^{n} y}{d x^{n}},\) where n is a fraction. Indeed, in correspondence with Leibniz, L’Hopital considered this very possibility.

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Correspondence to Mouffak Benchohra .

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Benchohra, M., Karapınar, E., Lazreg, J.E., Salim, A. (2023). Introduction. In: Advanced Topics in Fractional Differential Equations. Synthesis Lectures on Mathematics & Statistics. Springer, Cham. https://doi.org/10.1007/978-3-031-26928-8_1

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