3.8 Article

Particular Solution of Linear Sequential Fractional Differential equation with Constant Coefficients by Inverse Fractional Differential Operators

Journal

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS
Volume 25, Issue 3, Pages 373-383

Publisher

SPRINGER INDIA
DOI: 10.1007/s12591-017-0364-8

Keywords

Fractional differential equations; Riemann-Liouville derivative; Jumarie's fractional derivation; Inverse differential operators; Inverse fractional differential operators

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This paper adopts the inverse fractional differential operator method for obtaining the explicit particular solution to a linear sequential fractional differential equation, involving Jumarie's modification of Riemann-Liouville derivative, with constant coefficient s. This method depends on the classical inverse differential operator method and it is independent of the integral transforms. Several examples are then given to demonstrate the validity of our main results.

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