scholarly journals Atomic solution of second order vector valued fractional differential equations

2020 ◽  
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Second Order ◽  
Fractional Differential ◽  
Vector Valued ◽  
Atomic Solution

scholarly journals General solution of second order fractional differential equations

2018 ◽  
Vol 7 (2) ◽  
pp. 56 ◽  
Author(s):  
Mousa Ilie ◽  
Jafar Biazar ◽  
Zainab Ayati
Keyword(s):  
General Solution ◽  
Differential Equations ◽  
Fractional Differential Equations ◽  
Second Order ◽  
Conformable Fractional Derivative ◽  
High Importance ◽  
Particular Solution ◽  
Fractional Differential ◽  
Linear Fractional Differential Equations ◽  
General Method

Fractional differential equations are often seeming perplexing to solve. Therefore, finding comprehensive methods for solving them sounds of high importance. In this paper, a general method for solving second order fractional differential equations has been presented based on conformable fractional derivative. This method realizes on determining a general solution of homogeneous and a particular solution of a second order linear fractional differential equations. Furthermore, a general solution has been developed for fractional Euler’s equation. For more explanation of each part, some examples have been solved. 

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