On the \(\Lambda \)-fractional continuum mechanics fields

After defining the fractional \(\varLambda \) $\Lambda$ -derivative, having all the prerequisites for corresponding to a differential, the fractional \(\varLambda \) $\Lambda$ -strain has already been established. Furthermore, only globally variational principles are allowed in the context of fractional analysis. Hence, balance laws, yielding the various field equations in \(\Lambda \) $\mathrm{\Lambda }$ -fractional continuum mechanics, are derived, allowing corners in their fields. The basic balance laws of mass, linear and rotational momentum, and energy conservation with jump conditions are derived in the context of \(\Lambda \) $\mathrm{\Lambda }$ -fractional analysis.