[PDF] Top 20 Positive solutions to singular Dirichlet type boundary value problems of nonlinear fractional differential equations

... of positive solutions for BVP ...tive solutions of BVP (1.1). By using the Leray–Schauder nonlinear alternative and a fixed point theorem on cones, BVP ... See full document

... of fractional integrals and derivatives, some proper- ties and a fixed point ...of positive solutions for a coupled system of nonlinear fractional differential ... See full document

... from fractional calculus theory. For more details about fractional calculus, we refer the readers to [, , ...Riemann-Liouville fractional derivative of order α >  of a continuous function ϕ : ... 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

... be singular at u = ...multiple positive solutions for singular positone and semipositone boundary value problems by means of the Leray–Schauder nonlinear ... See full document

... single positive solution for boundary value problems ...multiple positive solutions for boundary value problems ... See full document

... In this section, we establish some new existence results for the singular fractional differ- ential equation (.)-(.). We always assume that f : [, ] × (, ∞) → [, ∞) is continuous in this section. ... See full document

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

... of positive solutions of boundary value problems associated to some differential equations, difference equations, and dynamic equations on scales (see, for ... See full document

... of solutions of fractional BVP ...than problems in literatures review [1, 3, 20], by applying Krasnoselskii’s fixed point theorem, nonlinear alternative of Leray-Schauder type, H¨ older ... See full document

... Motivated by the above-mentioned developments and results, we consider the BVP given by (1) and (3) or by (1) and (2). In each case, we determine sufficient conditions on f guaranteeing that these problems has a ... See full document

... the boundary value problem for a kind N-dimension nonlinear fractional differential system with the nonlinear terms involved in the fractional derivative ...The fractional ... See full document

... mild solutions to some semilinear fractional integro-differential equations,” Electronic Journal of Qualitative Theory of Differential Equations, ... See full document

... Differential equations of fractional order have recently proved to be valuable tools in the modeling of many phenomena in various fields of science and ...of fractional differential equations and ... See full document

... of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional derivative by ... See full document

... Recently, boundary value problems of nonlinear fractional q-difference equations have aroused considerable ...of solutions or positive solutions for ... See full document

... that boundary value problems for a coupled system of non- linear fractional differential equations have been addressed by several ...of solutions or positive ... See full document

... of solutions of this class of prob- lems by employing different fixed point ...the fractional order differential equation boundary value problems with p- Laplacian operator; see ... See full document

... nonlocal boundary value prob- lems of fractional differential equations; see [–] and ...of positive solutions for the following fractional differential ... See full document

... about fractional differential equations have received much develop- ment, and many applications of fractional differential equations have appeared in some fields which include physics, ... See full document