 in Tables \[tab:conv\_js\_fract\_0\]-\[tab:conv\_js\_cubic\_0\].    ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------    ![Example 0: The numerical solution (left panel) and the error (right panel) when $j=0$ and $s=0$. []{data-label="fig:numsol_0"}](Fig_NumSol_jGK0_sref0_beta0p0_gamma0p0_ex0.png "fig:"){width="00.00000%"}   ![Example 0: The numerical solution (left panel) and the error (right panel) when $j=0$ and $s=0$. []{data-label="fig:numsol_0"}](Fig_Error_jGK0_sref0_beta0p0_gamma0p0_ex0.png "fig:"){width="00.00000%"}   ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------    -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------     ![Example 0: The $L_0$-norm of the error as a function of $s$ for different values of $\gamma$. Each line corresponds to a spline of different degree: solid lines correspond to the polynomial splines; non solid lines correspond to fractional splines.[]{data-label="fig:L0_error_0"}](Fig_L0Error_gam0_ex0.png "fig:"){width="00.00000%"}    ![Example 0: The $L_0$-norm of the error as a function of $s$ for different values of $\gamma$. Each line corresponds to a spline of different degree: solid lines correspond to the polynomial splines; non solid lines correspond to fractional splines.[]{data-label="fig:L0_error_0"}](Fig_L0Error_gam0p00_ex0.png "fig:"){width="00.00000%"}    ![Example 0: The $L_0$-norm of the error as a function of $s$ for different values of $\gamma$. Each line corresponds to a spline of different degree: solid lines correspond to the polynomial splines; non solid lines correspond to fractional splines.[]{data-label="fig:L0_error_0"}](Fig_L0Error_gam0p0_ex0.png "fig:"){width="00.00000%"}   ![Example 0: The $L_0$-norm of the error as a function of $s$ for different values of $\gamma$. Each line corresponds to a spline of different degree: solid lines correspond to the polynomial splines; non solid lines correspond to fractional splines.[]{data-label="fig:L0_error_0"}](Fig_L0Error_gam0p00_ex0.png "fig:"){width="00.00000%"}   -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------                                            0                0                0                0   -------------------------------- ---------------- ---------------- ---------------- ----------------    $\sharp V_j^{(\alpha)}([0,0])$         0                00               00               00                  0                  0.00000 (000)    0.00000 (000)    0.00000 (0000)   0.00000 (0000)                  0                  0.00000 (000)    0.00000 (0000)   0.00000 (0000)   0.00000 (0000)                  0                  0.00000 (0000)   0.00000 (0000)   0.00000 (0000)   0.00000 (0000)    : Example 0: The $L_0$-norm of the error for increasing values of $s$ and $j$ for the fractional B-spline of degree $\beta=0.0$. The numbers in parenthesis are the degrees-of-freedom. Here, $\gamma=0.0$.  \[tab:conv\_js\_fract\_0\]                                            0                0                0                0   -------------------------------- ---------------- ---------------- ---------------- ----------------    $\sharp V_j^{(\alpha)}([0,0])$         0                00               00               00                  0                  0.00000 (000)    0.00000 (000)    0.00000 (0000)   0.00000 (0000)                  0                  0.00000 (000)    0.00000 (0000)   0.00000 (0000)   0.00000 (0000)                  0                  0.00000 (0000)   0.00000 (0000)   0.00000 (0000)   0.00000 (0000)    : Example 0: The $L_0$-norm of the error for increasing values of $s$ and $j$ for the cubic B-spline. The numbers in parenthesis are the degrees-of-freedom. Here, $\gamma=0.0$.  \[tab:conv\_js\_