[PDF] Top 20 Positive Solutions of a Four-point Fractional Boundary Value Problem

... of positive solutions of nonlinear initial value problem or two point boundary value problem, and the solvability of nonlocal boundary value ... See full document

... of positive solutions for resonant problem ...non-perturbed boundary value problems at resonance to equivalent non-resonant perturbed problems with the same boundary ...of ... See full document

... 8 T. Diagana, Pseudo Almost Periodic Functions in Banach Spaces, Nova Science, New York, NY, USA, 2007. 9 T. Diagana, G. M. Mophou, and G. M. N’Gu´er´ekata, “On the existence of mild solutions to some semilinear ... See full document

... on fractional calculus are devoted to the solvability of linear initial fractional differential equations on terms of special ...nonlinear fractional differential equations boundary ... See full document

... In this paper, we prove existence of positive solutions to a nonlinear fractional boundary value problem involving a p-Laplacian operator. Then, under some mild assumptions on ... See full document

... one positive solution of problem P by using Guo-Krasnoselskii fixed point theorem on cone; then, under some sufficient conditions on the nonlinear source term, we apply Avery-Peterson theorem to prove ... See full document

... of solutions of multipoint boundary value problems for linear second-order ordinary differential equations was initiated by Il’in and Moiseev ...three-point boundary value ... See full document

... of positive solutions for a sixth-order boundary value problem with three variable ...consider boundary value problem not only with three variable coefficients, but ... See full document

... The paper is organized as follows. In Section , we give some preliminary results that will be used in the proof of the main results. In Section , we establish the uniqueness of a positive solution for the ... See full document

... of positive solutions for a nonlinear fractional boundary value problem on the ...of positive solutions of a fractional boundary value ... See full document

... triple positive solutions using fixed point theorem due to Avery and Peterson ...fixed point theorems due to Avery and Henderson 12, Avery and Peterson 14, respectively, we prove that there ... See full document

... In [], the authors used the mountain pass theorem, a linking theorem, and Clark’s the- orem to establish the existence of multiple solutions for a fractional difference boundary value ... See full document

... In [, ], Sun and Zhang discussed a class of singular superlinear and sublinear Sturm- Liouville problems, respectively. In the two papers, the Sturm-Liouville problems are considered under some conditions concerning ... See full document

... towards fractional differential equations as many phenomena in various branches of science and engineering are ...of fractional differential equations due to Lakshmikantham ...Periodic boundary ... See full document

... know, fractional order differential equations with deviated arguments have not been much studied and many aspects of these equations are yet to be ...of fractional order with deviated argu- ments, see ... See full document

... nonnegative solutions for a second-order m-point boundary value problem at reso- nance by using a new fixed point theorem of increasing operators, and in this paper we use this ... See full document

... In order to establish a variational structure which enables us to transform the existence of solutions for boundary value problem (.) into the existence of critical points for the ... See full document

... of fractional derivatives, such as Riemann-Liouville fractional derivative, Marchaud fractional derivative, Caputo’s derivative, Griinwald-Letnikov fractional derivative, ...decades, ... See full document

... So boundary value problems for fractional q-difference equations have become of importance and the existence of positive solutions has been studied by a great number of researchers; see ... See full document

... of positive solution to BVP ...of positive solution are obtained under conditions concerning the spectral radius of the relevant lin- ear ...nonlocal boundary term, that is, some of the coefficients η ... See full document