This paper deals with an application of the method of quasilinearization by not demanding the Hölder continuity assumption of functions involved and by choosing upper and lower solutions with initial time difference for nonlinear Caputo fractional differential equations.
To facilitate the comparison, we follow Lin (1990) and Dong and Dow (1993)'s assumptions of production function, utility function and their rules of distribution.
As an investigative strategy, however, the assumption of function and purpose is useful, because it can help one to discover adaptive features that are subtle or complex or for some other reason easy to overlook.
More precisely, the mechanisms underlying the neuroplasticity has been variously attributed to redundancy (parallel distributed pathways), changes in synaptic strength, axonal sprouting with formation of new synapses, assumption of function by contralateral homologous cortex, and substitution of uncrossed pathways [ 36].
While the convergence analysis of this paper needed some assumptions of the function f whose gradient is g, our further investigation is to avoid the function f and to solve general nonlinear equation (46) using different strategies from those of this paper and literature [23 25].
In this subsection, we shall analyze the convergence of the scheme (10) with three assumptions of delay function (theta(t)), respectively.
Therefore, in order to obtain an FPTAS for solving problem (P), some extra assumptions of the function G will be required (see Section 2) in this article.
Non-model systems necessarily must tap into this reservoir of data using BLAST and assumptions of gene function homology, and the genome or gene set of a related but potentially very divergent species.
We therefore promote the concept that it is no longer acceptable to pool placental data or make assumptions of placental function without acknowledging the specific sex of the placenta.
With this approach, it is feasible to identify an allelic series of ENU-induced mutations in a particular gene, in this case Disc1, as a gene-driven approach based on a priori assumptions of the function of a gene of interest [ 22, 23].
