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The construction of solutions to C D ( 1 / n ) type FDEs via reduction to ( C D ( 1 / n ) ) n type FDEs
AIMS Mathematics 2022, 7(9): 16536-16554
Published: 15 September 2022
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A scheme for the integration of C D ( 1 / n ) -type fractional differential equations (FDEs) is presented in this paper. The approach is based on the expansion of solutions to FDEs via fractional power series. It is proven that C D ( 1 / n ) -type FDEs can be transformed into equivalent ( C D ( 1 / n ) ) n -type FDEs via operator calculus techniques. The efficacy of the scheme is demonstrated by integrating the fractional Riccati differential equation.

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