General solution of second order fractional differential equations

Abstract

<jats:p>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. </jats:p>

Fractional model for the study of the tuberculosis in Mexico

“…The development of new mathematical theories and their incorporation into mathematical modeling has made it possible to propose mathematical models that more accurately reflect the dynamics of physical, chemical, or biological processes, among others. Differential equations have been widely used to model the dynamics that occur in different natural processes, the study of the laws that govern such systems through differential equations can be approached through direct or inverse problems (see previous works [2][3][4][5][6][7][8][9][10] ).…”