Correction: Kiskinov et al. Existence of Absolutely Continuous Fundamental Matrix of Linear Fractional System with Distributed Delays. Mathematics 2021, 9, 150

We have found that, in the right side of Equation (35) in our paper [1], the addend

$$T_{a-h}(t,a-h)\Phi (a-h)$$

is missing. As consequence of this error, the same addend must also be added in the right side of Equations (38), (39), (41) and (42).

The correct Equations (35), (38), (39), (41) and (42) are listed below:

$$X_{\Phi }\left(t\right)=\underset{a-h}{\overset{a}{\int }}{T}_{a-h}(t,s){\mathrm{d}}_s\Phi \left(s\right)+T_{a-h}(t,a-h)\Phi (a-h),t\in J_a$$

(35)

$$X_f^{\Phi }\left(t\right)=X_{\Phi }\left(t\right)+X_f\left(t\right)=\underset{a}{\overset{t}{\int }}C{(t,s)}_{RL}{D}_{a+}^{1-\alpha }F\left(s\right)\mathrm{d}s+\underset{a-h}{\overset{a}{\int }}{T}_{a-h}(t,s){\mathrm{d}}_s\Phi \left(s\right)+T_{a-h}(t,a-h)\Phi (a-h)$$

(38)

$$\begin{array}{cc}\hfill X_f^{\Phi }\left(t\right)& =T_{a-h}(t,a)({\Phi }_J(a+)-{\Phi }_J(a-))+\sum _i{T}_{a-h}(t,s_i)(({\Phi }_J(s_i+)-{\Phi }_J(s_i-))\hfill \\ & +\underset{a-h}{\overset{a}{\int }}{T}_{a-h}(t,s){\Phi }_A^{{}^{\prime }}\left(s\right)\mathrm{d}s+\underset{a}{\overset{t}{\int }}C{(t,s)}_{RL}{D}_{a+}^{1-\alpha }F\left(s\right)\mathrm{d}s+T_{a-h}(t,a-h)\Phi (a-h)\hfill \end{array}$$

(39)

$$X_{\Phi }\left(t\right)=T_{a-h}(t,a){\Phi }_J(a+)-\underset{a-h}{\overset{a}{\int }}\frac{\partial T_{a-h}(t,s)}{\partial s}{\Phi }_A\left(s\right)\mathrm{d}s+T_{a-h}(t,a-h)\Phi (a-h)$$

(41)

$$\begin{array}{cc}\hfill X_{\Phi }\left(t\right)& =T_{a-h}(t,a)({\Phi }_J(a+)-{\Phi }_J(a-))\hfill \\ & +\sum _i{T}_{a-h}(t,s_i)({\Phi }_J(s_i+)-{\Phi }_J(s_i-))+\underset{a-h}{\overset{a}{\int }}{T}_{a-h}(t,s){\Phi }_A^{{}^{\prime }}\left(s\right)\mathrm{d}s+T_{a-h}(t,a-h)\Phi (a-h)\hfill \end{array}$$

(42)

The authors apologize for any inconvenience caused and state that the scientific conclusions are unaffected. The original article has been updated.