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The second belief is that, with proper modeling of the integral and differential forms themselves, the resulting numerical solution should automatically be consistent with the properties derived from the integral and differential forms, e.g., the jump conditions across a shock and the properties of characteristics.
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Our main approach is based on fractional calculus, the properties of characteristic solution operators, Mönch's fixed point theorem via measures of noncompactness.
The main techniques rely on the fractional calculus, properties of characteristic solution operators, Mönch's fixed point theorem via measures of noncompactness.
By using fractional calculus, the properties of characteristic solution operators, Mönch's fixed point theorem via MNC, we have found the existence results.
The generalized version of characteristic ratios is defined such that the time-scaling property of characteristic ratios is also preserved.
According to the property of characteristic curves, the SL method calculated the value of points which end at the grid point backward in time.
The main purpose is to investigate the main properties of these characteristics near resonance.
The next result relates the monotonicity properties of the characteristic roots with the monotonicity properties as a function of n.
Properties of spectral characteristic are established, and the uniqueness theorem is proved for this class of inverse problems.
The optical properties of antireflective characteristic of the PC tapered nanostructures were analyzed.
In this paper, we also use some known properties of the characteristic function (T r,f)) as follows [9, 18, 19].
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