Open AccessTwo 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.