[PDF] Top 20 Existence of solutions for a mixed fractional boundary value problem

... where fractional boundary value problems have been studied by different methods such as the upper and lower solutions method, fixed point theorems, successive approximations method, Mawhin ... See full document

... of existence of solutions to boundary value problems associated with fractional differential equations have recently been attracted the attention of many researchers, see for example [1, ... See full document

... on fractional calculus are devoted to the solvability of linear fractional differential ...the existence of solutions (or positive solutions) of nonlinear initial (or boundary) ... See full document

... the existence and multiplicity results of positive solutions for a boundary value problem of nonlinear fractional differential ...the fractional derivative of an unknown ... 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 method of Wang ... See full document

... the existence of nonnegative solutions of a boundary value problem for a fractional order differential equation are ...the existence of solutions of an aux- iliary ... See full document

... Fractional differential equations can describe many phe- nomena in various fields of engineering and scientific disciplines such as control theory, physics, chemistry, biology, economics, mechanics and ... See full document

... of fractional order differential equations has emerged as an important area of ...of existence of positive solutions for fractional order differential equations satisfying initial (or) ... See full document

... Al-Askar, “On the Existence of Positive Solutions for a Boundary Value Problem of Fracntional Order,” International Journal of Mathematical Analysis, Vol.. Lü, “Positive Solutions for Bo[r] ... See full document

... positive solutions of fractional ...the existence results on pos- itive solutions to the fractional nonlocal boundary value problem ... See full document

... [, ] and the references therein. As far as we know, there are very few results devoted to weak solutions of nonlinear fractional differential equations [–]. Motivated by the above mentioned papers, ... See full document

... Though boundary value problems for fractional differential equations have been extensively studied, most of the studies focus on scalar equations and the fractional order between 1 and ...for ... See full document

... By using the mountain pass lemma, we study the existence of positive solutions for the equation −∆ux = λu|u| + ux for x ∈ Ω together with Dirichlet boundary conditions and show that for [r] ... See full document

... the existence of solutions to antiperiodic boundary value problem for nonlinear impulsive fractional differential ...some existence results of solutions are ... See full document

... that fractional differential equations arise in the fields of science and engineer- ing such as physics, chemistry, mechanics, economics, and biological sciences, ...the existence theory of fractional ... See full document

... multipoint boundary value problem by the monotone iterative ...the existence of monotone positive solutions and establish iterative schemes for approximating the ...considered ... See full document

... must be superlinear with respect to u at infinity. In the present paper, motivated by [] and [], we study the existence and nonexistence of positive solutions for problem () with the asymptotic ... See full document

... the existence and uniqueness of solutions for mixed fractional q-difference boundary value problems involving the Riemann–Liouville and the Caputo fractional ... See full document

... to boundary value problems at res- onance for ordinary or fractional differential ...positive solutions by using a fixed point theorem of increasing ... See full document

... The rest of the paper is organized as follows. In Section , we introduce some lemmas and definitions which will be used later. In Section , the existence of positive solutions for the boundary ... See full document