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Purpose

– The purpose of this paper is to suggest a new analytical technique called the fractional series expansion method for solving linear fractional differential equations (FDEs).

Design/methodology/approach

– This method is based on the idea of Kantorovich method, convergent series, and the modified Riemann-Liouville derivative.

Findings

– This work suggests a new analytical technique. The FDEs are described in Jumarie’s sense.

Originality/value

– It finds a new method for solving linear FDEs. The solution procedure is elucidated by two examples.

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