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

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Abstract

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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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Basrah University, Basrah, Iraq

    Sanaa L. Khalaf & Ayad R. Khudair

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  1. Sanaa L. Khalaf
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Correspondence to Ayad R. Khudair.

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Khalaf, S.L., Khudair, A.R. Particular Solution of Linear Sequential Fractional Differential equation with Constant Coefficients by Inverse Fractional Differential Operators. Differ Equ Dyn Syst 25, 373–383 (2017). https://doi.org/10.1007/s12591-017-0364-8

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