This article concerns the existence of solutions for fractional-order differential inclusions with boundary-value conditions. The main tools are based on fixed point theorems due to Bohnerblust-Karlin and Leray-Schauder together with a continuous selection theorem for upper semi-continuous multivalued maps.

In this paper, we study the existence and uniqueness solution and investigate the conditions that make it almost-periodic solution for BAM neural networks with retarded delays. The existence of solution established by using Schauder fixed point theorem. The uniqueness established by using Banach fixed point theorem. Moreover we study the parametric stability of such a solution. Also we illustra...

Abstract. In this paper, we study the existence and uniqueness of solutions for a singular system of nonlinear fractional differential equations with integral boundary conditions. We obtain existence and uniqueness results of solutions by using the properties of the Green’s function, a nonlinear alternative of Leray–Schauder-type, Guo–Krasnoselskii’s fixed point theorem in a cone and the Banach...

We discuss the existence of solutions for second-order impulsive differential equation with nonlocal conditions in Banach spaces. Our approach is based on generalization Schauder fixed pointprinciple that Darbo point theorem. An example also presented to illustration.

In this paper, we study the existence of solutions for a boundary value problem of differential inclusions of order q ∈ (1, 2] with non-separated boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.

In this paper the concepts of sectional intuitionistic fuzzy continuous mapping, l -intuitionistic fuzzy compact sets and asymptotic intuitionistic fuzzy normal structure are introduced. Schauder type and Baillon and Schoneberg type fixed point theorems are also established in an intuitionistic fuzzy n -normed linear space.

In this paper, we establish the existence of a solution for a coupled system of threepoint fractional order boundary value problems by applying the Schauder fixed point theorem in a Banach space under suitable conditions. Mathematics subject classification (2010): 34A34, 34B15.

We study the existence of positive solutions of the nonlinear fourth order problem u(x) = λa(x)f(u(x)), u(0) = u′(0) = u′′(1) = u′′′(1) = 0, where a : [0, 1] → R may change sign, f(0) > 0, and λ > 0 is sufficiently small. Our approach is based on the Leray–Schauder fixed point theorem.

In this paper we prove Leray-Schauder and Furi-Pera types fixed point theorems for a class of multi-valued mappings with weakly sequentially closed graph. Our results improve and extend previous results for weakly sequentially closed maps and are very important in applications, mainly for the investigating of boundary value problems on noncompact intervals.

In this work, we present some results on the existence of attractive solutions fractional differential equations ѱ-Hilfer hybrid type. The are a consequence Schauder fixed point theorem. Next, prove that all uniformly locally attractive.