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In this paper, we research the existence and uniqueness
of positive solutions for a coupled system of fractional differential
equations. By means of some standard fixed point principles, some results on
the existence and uniqueness of positive solutions for coupled systems are
Moist flow over a bell-shaped mountain is investigated using the
advanced regional prediction system (ARPS). Three closely related issues are
addressed: the upslope precipitation mechanism, periodic evolution of
precipitation associated with mountain waves, and lee precipitation induced by
reversal flow. The results show that precipitation is strongly the moist distribution
and terrain scale dependent. Beginning with the case of uniformly stratified
flow over mountain, upslope precipitation and lee wave precipitation pattern
are obtained. Most importantly, lee precipitation induced by reversal
flow can be caused by layered flow over mountain, wherein lee reversal flow
exerts a significant influence on the orographic precipitation.
We introduce a k-strictly pseudononspreading
multivalued in Hilbert spaces more general than the class of nonspreading
multivalued. We establish some weak convergence theorems of the sequences
generated by our iterative process. Some new iterative sequences for finding a
common element of the set of solutions for equilibrium problem was introduced.
The results improve and extend the corresponding results of Osilike Isiogugu  (Nonlinear Anal.74 (2011)) and others.
this paper, we introduce a new hybrid iterative algorithm for finding a common
element of the set of common fixed points of a finite family of uniformly
asymptotically nonexpansive semigroups and the set of solutions of an
equilibrium problem in the framework of Hilbert spaces. We then prove the strong
convergence theorem with respect to the proposed iterative algorithm. Our
results in this paper extend and improve some recent known results.