# General solution of second order fractional differential equations

## DOI:

https://doi.org/10.14419/ijamr.v7i2.10116## Keywords:

Linear fractional differential equations, Conformable fractional derivative, Constant coefficients approach, Eulerâ€™s equation, Variation of parameters, Lagrange method, Undetermined coefficients,## Abstract

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 Eulerâ€™s equation. For more explanation of each part, some examples have been solved.Â

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