New Method for Solving Linear Fractional Differential Equations | Zendy

S. Z. Rida | Zendy; Anas A. M. Arafa | Zendy

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New Method for Solving Linear Fractional Differential Equations

Author(s) -

S. Z. Rida,

Anas A. M. Arafa

Publication year - 2011

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2011/814132

Subject(s) - mathematics , fractional calculus , linear differential equation , power series , order (exchange) , reliability (semiconductor) , differential equation , series (stratigraphy) , function (biology) , power function , mathematical analysis , power (physics) , paleontology , physics , finance , quantum mechanics , evolutionary biology , economics , biology

We develop a new application of the Mittag-Leffler Function method that will extend the application of the method to linear differential equations with fractional order. A new solution is constructed in power series. The fractional derivatives are described in the Caputo sense. To illustrate the reliability of the method, some examples are provided. The results reveal that the technique introduced here is very effective and convenient for solving linear differential equations of fractional order

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