Sentence examples for classes of partial from inspiring English sources
We investigate the global existence and uniqueness of solutions for some classes of partial hyperbolic differential equations involving the Caputo fractional derivative with finite and infinite delays.
Recently Pachpatte [22, 23] considered some classes of partial functional differential equations which occur in a natural way in the description of many physical phenomena.
Sturm-Liouville eigenvalue problems appear frequently in solving several classes of partial differential equations, particularly in solving the heat equation or a wave equation by separation of variables.
On the other hand, in article by Blot et al. [8], the authors have obtained existence and uniqueness of pseudo-almost automorphic solutions to some classes of partial evolutions equations.
In this paper we obtain sufficient conditions for the existence of solutions of some classes of partial neutral integro-differential equations of fractional order by using suitable fixed point theorems.
Although the existence of attractors has been derived for many classes of partial differential equations without uniqueness, to the best of our knowledge, little seems to be known for singular/degenerate equations, expecially in the quasilinear case.
The class of partial b-metric space ((X,p_b)) is effectively larger that the class of partial metric space, since a partial metric space is a special case of a partial b-metric space ((X,p_b)) when (s=1).
It should be noted that the class of partial b-metric spaces is larger than the class of partial metric spaces, since a partial b-metric is a partial metric when s = 1.
This work examines the consensus control problem for a class of partial differential equations with a Riesz-spectral state operator.
A parallel adaptive wavelet collocation method for solving a large class of Partial Differential Equations is presented.
In Section 3, the results obtained will be applied to a class of partial differential equations of parabolic type.
