A scheme for the integration of CD(1/n) \, {}^{C} \mathit{\boldsymbol{{D}}}^{(1/n)} -type fractional differential equations (FDEs) is presented in this paper. The approach is based on the expansion of solutions to FDEs via fractional power series. It is proven that CD(1/n) \, {}^{C} \mathit{\boldsymbol{{D}}}^{(1/n)} -type FDEs can be transformed into equivalent ( CD(1/n))n \left(\, {}^{C} \mathit{\boldsymbol{{D}}}^{(1/n)}\right)^n -type FDEs via operator calculus techniques. The efficacy of the scheme is demonstrated by integrating the fractional Riccati differential equation.

A scheme for the integration of $\, {}^{C} \mathit{\boldsymbol{{D}}}^{(1/n)}$-type fractional differential equations (FDEs) is presented in this paper. The approach is based on the expansion of solutions to FDEs via fractional power series. It is proven that $\, {}^{C} \mathit{\boldsymbol{{D}}}^{(1/n)}$-type FDEs can be transformed into equivalent $\left(\, {}^{C} \mathit{\boldsymbol{{D}}}^{(1/n)}\right)^n$-type FDEs via operator calculus techniques. The efficacy of the scheme is demonstrated by integrating the fractional Riccati differential equation

Solitary solutions to a metastasis model represented by two systems of coupled Riccati equations

Solitary solutions to a two-tumor metastasis model represented by a system of multiplicatively coupled Riccati equations are considered in this paper. The interaction between tumors is modelled by a one-sided diffusive coupling when one coupled Riccati system influences the other, but not the opposite. Necessary and sufficient conditions for the existence of solitary solutions to the composite system of Riccati equations are derived in the explicit form. Computational experiments are used to demonstrate the transitions from one steady-state to another via non-monotonous trajectories