Two Types of Second Order Fractional Differential Equations | Zendy

Chii-Huei Yu | Zendy

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Two Types of Second Order Fractional Differential Equations

Author(s) -

Chii-Huei Yu

Publication year - 2021

Publication title -

journal of physics conference series

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 85

eISSN - 1742-6596

pISSN - 1742-6588

DOI - 10.1088/1742-6596/1865/4/042138

Subject(s) - fractional calculus , mathematics , type (biology) , order (exchange) , variable (mathematics) , multiplication (music) , differential equation , chain rule (probability) , pure mathematics , mathematical analysis , combinatorics , random variable , statistics , ecology , probability mass function , regular conditional probability , economics , biology , finance

In this paper, we make use of a new multiplication of fractional functions, variable separation method and chain rule for fractional derivatives, regarding the Jumarie type of modified Riemann-Liouville (R-L) fractional derivatives to solve two types of second order fractional differential equations. Moreover, some examples are proposed to illustrate our results.

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