%0 Journal Article %T General solution of second order fractional differential equations %A Jafar Biazar %A Mousa Ilie %A Zainab Ayati %J - %D 2018 %R 10.14419/ijamr.v7i2.10116 %X 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. %U https://www.sciencepubco.com/index.php/ijamr/article/view/10116