  This paper provides a summary of the fractal calculus framework. It presents
higher-order homogeneous and nonhomogeneous linear fractal differential
equations with $\alpha$-order. Solutions for these equations with constant
coefficients are obtained through the method of variation of parameters and the
method of undetermined coefficients. The solution space for higher
$\alpha$-order linear fractal differential equations is defined, showcasing its
non-integer dimensionality. The solutions to $\alpha$-order linear fractal
differential equations are graphically depicted to illustrate their
non-differentiability. Additionally, equations of motion governing the behavior
of two masses in fractal time are proposed and solved.
