Upon making some appropriate assumptions, some sufficient conditions for the existence of mild solutions for the fractional functional differential Eq. (1.1) are given.
Upon making some appropriate assumptions, by employing the ideas and techniques as in this paper, one can establish the approximate controllability results for a wide class of fractional deterministic and stochastic differential equations.
Our purpose in this paper is to establish some results concerning the existence and uniqueness of weighted Stepanov-like pseudo-almost automorphic mild solutions for equations that can be modeled in the form (1). Upon making some appropriate assumptions, some sufficient conditions for the existence and uniqueness of weighted Stepanov-like pseudo-almost automorphic mild solutions to (1) are given.
Upon making some appropriate assumptions, by utilizing the ideas and techniques of solution operators, the theory of fractional calculus and Mönch's fixed point theorem via measures of noncompactness, sufficient conditions for controllability results are obtained under some weakly compactness conditions.
The work "makes us think about embryos as cognitive organisms that can assess their environment and make some sort of appropriate response rather than just passively being on a timetable [for hatching]," says Karen Martin, a physiological ecologist at Pepperdine University in Malibu, California, who was not involved in the study.
Make some jokes if appropriate.
If it's appropriate, make some room for laughter.
Teen shows now tend to make some attempt at age-appropriate casting but, back in the early 1990s, 90210 pioneered the technique of casting male heart-throbs who looked laughably old.
In the complex environment of the smart grid it is therefore appropriate to make some approximations.
For Turner acknowledges that even within a Christian context it will be appropriate to make some use of "temple" elements, not least for those members of the community who have not yet fully assimilated a Christian understanding of these matters.
