Exact(11)
Our nonlinearity may have singularity at and/or and may have singularity at.
The nonlinearity may have singularity at and/or and may have singularity at.
Moreover, the nonlinear term (g t, y)) is also allowed to have singularity at (y=0).
Here, we allow p have singularity at t = 0, 1, as far as we know, there were fewer works to be done.
It is clear that if x is a constant function, then (^{CF}D ^{alpha }x t)=0) as in the usual Caputo derivative, but contrary to the usual Caputo derivative, the kernel does not have singularity for (t =tau ).
Such asymptotic results in singularities of the solution to the first and the second Cauchy problems at the point of application of the delta pulse, whereas the solution to the source problem does not have singularity.
Similar(49)
Here, nonlinearity is allowed to have singularities at.
This new definition does not have singularities at (t=s).
Under certain conditions, these conics may have singularities.
Note that the area minimizing surface (Q(Gamma )) may have singularities even if (Gamma ) is smooth.
Some field components of resonant oscillations have singularities on the resonance surfaces, in the absence of dissipation.
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