Existence of positive solutions for the boundary value problem of a nonlinear fractional differential equation
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 10, Issue 9
Abstract
In this paper, we deal with the following nonlinear fractional boundary value problem Dao+u(t) +f(t, u(t))= 0,0 < t < 1,4 < α <-5, u(0) = u (1) = u'(0)= u'(1)= u"(1)= 0 where Dao+is the standard Riemann-Liouville differential operator of order α . We give some properties of Green's function for the problem. By means of some fixed-point theorems on cone, some existence and multiplicity results of positive solutions are obtained. Moreover, some concrete examples are given respectively.
Authors and Affiliations
Xiulan Guo, Gongwei Liu
Keywords
Related Articles
- EP ID EP651586
- DOI 10.24297/jam.v10i9.1897
- Views 126
- Downloads 0
Harmonic Matrix and Harmonic Energy
We define the Harmonic energy as the sum of the absolute values of the eigenvalues of the Harmonic matrix, and establish some of its properties, in particular lower and upper bounds for it.
Martingales via statistical convergence
In this paper martingales of statistical Bochner integrable functions with values in a Banach space are treated. In particular we have arrived some results for martingales and backwards martingales.
On a fractional differemtial equation with Jumaries fractional derivative
By a counterexample, we prove that the results obtained in [1] are incorrect and there exist some theoretical mistakes in fractional complex transform.
Dual strongly Rickart modules
In this paper we introduce and study the concept of dual strongly Rickart modules as a stronger than of dual Rickart modules [8] and a dual concept of strongly Rickart modules. A module M is said to be dual strongly Rick...
REGIONAL GRADIENT STRATEGIC SENSORS CHARACTERIZATIONS
In the present paper, the characterizations of regional gradient strategic sensors notions have been given for different cases of regional gradient observability. The results obtained are applied to two dimensional linea...