In this paper, we consider a class of linear fractional differential equations involving the Caputo–Fabrizio fractional derivative of order 1<α<2. We derive, in closed form, a reduction of order formula to obtain a second linearly independent solution. We then establish a fundamental set of solutions result to the equation. One example is presented to illustrate the validity of the obtained results.
- Caputo–Fabrizio fractional derivative
- Fractional differential equations
- Fundamental solutions set
ASJC Scopus subject areas
- Applied Mathematics