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Elementary Course in Fractional Calculus now in its first edition, covers the fractional integrals such as Riemann-Liouville fractional integral, Grunwald-Letnikov fractional and fractional derivatives such as Riemann-Liouville fractional derivative, Grunwald-Letnikov, and Caputo fractional derivative. The text also covers some special functions in fractional calculus, fractional integral transforms, and introduction to fractional differential equations. For students, with a background in elementary of fractional calculus and fractional differential equations, the text contains several enriched examples and explorations to reinforce learning.