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Fractional calculus is the calculus of the future, With it, we can solve problems we couldn't have solved before. It is shown that geometric interpretation of fractional integration is "shadows on the walls" and its physical interpretation is "shadows of the past".It may be important to point out that the first application of fractional calculus was made by Abel(1802-1829) in the solution of an integral equation that arises in the formulation of the tautochronous problem.