[PDF] Top 20 Lower and Upper Solutions for General Two-Point Fractional Order Boundary Value Problems

... fixed point theorem [3], the operator T has a fixed point, ...i.e., fractional order boundary value problem (12),(2) has a ... See full document

... of lower and upper solutions for a general boundary value problem of fractional differential equations with p-Laplacian ...positive solutions for the equations with ... See full document

... of lower-upper solutions for a class of two-point boundary value problems with interface conditions by the Schauder fixed point theorem, which will be used to ... See full document

... sciences problems such population problems, dielectric polarization, electromagnetic ...of fractional differential equations, such fixed point theory, lower and upper ... See full document

... Choose αt −t, βt t and γ t t. It is easy to check that αt −t, and βt t are lower and upper solutions of BVP 3.66, 3.67 respectively, and all the assumptions in Theorem 3.2 are satisfied. Therefore by ... See full document

... of upper and lower so- lutions, is a powerful tool for proving the existence of solutions for nonlinear ordinary differential equations [1–3] and for nonlinear Caputo fractional differential ... See full document

... Positive Solutions for Eigenvalue Problems of Fractional Differential Equation with Generalized ...of Lower and Upper Solutions for ... See full document

... positive solutions for higher order m–point nonlinear fractional boundary value problems with integral boundary ...one, two and three positive ... See full document

... After that, the barrier strips technique was used by many researchers to study integer- order BVPs and IVPs (initial value problems). For instance, by making use of the barrier strips technique, the ... See full document

... and lower solutions, Ambrosetti-Prodi problem and positive solutions for fourth order ...fourth-order boundary value problem under a two-parameter nonresonance ... See full document

... the upper and lower solutions method, we deal with the existence of multiple solutions to three-point boundary value problems for second-order differential ... See full document

... the two-point boundary value problems of a nonlinear fractional q-difference equation with dependence on the first order ...fixed point theorem and an extension of ... See full document

... positive solutions for a system of (p, q)-Laplacian fractional order two-point boundary value problems by applying five functionals fixed point theorem under ... See full document

... of upper and lower solutions is also a powerful tool in studying boundary value ...of two-point boundary value problem, there already are lots of interesting ... See full document

... of solutions (or positive solutions) of nonlinear fractional differential equations with various boundary conditions (see [–] and the references ...singular fractional boundary ... See full document

... Lemma 2.4 [5] (Krasnoselskii fixed point theorem) Let E be a real Banach space. K ⊂ E is a cone. Suppose γ α , are nonnegative continuous convex functions on K . ϕ is a nonnegative continuous concave function on K ... See full document

... In this paper we shall present some methods for the continuous approximation of the solution of the two point real nonlinear boundary value problem.. by the use of spline functions of or[r] ... See full document

... Motivated by the above works, in this paper we aim to establish the existence of unique- ness and the nonexistence of positive solution to BVP (1.1). It is well known that the cone plays a very important role in seeking ... See full document

... Recently, Wang [] used the same method as Anuradha’s and generalized the results of Anuradha’s; he obtained a more suitable condition for the existence of solutions for (.). The gap between the class of ... See full document

... of solutions of three point boundary value problem for p-Laplacian fractional order differential ...fixed point theorem for existence of solutions and concavity of ... See full document