Solvability of some fractional-order three point boundary value problems

Existence of positive solutions for fourth-order boundary value problems with three- point boundary conditions

In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...

Solvability of Nonlocal Fractional Boundary Value Problems

Higher order multi-point fractional boundary value problems with integral boundary conditions

In this paper, we concerned with positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions. We establish the criteria for the existence of at least one, two and three positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions by using a result from the theory of fixed...

Solvability for a System of Nonlinear Fractional Higher–order Three–point Boundary Value Problem

Existence of eigenvalues yielding single and multiple positive solutions for a system of higher order fractional differential equations along with boundary conditions is established. The results are obtained by the use of a Guo-Krasnosel’skii fixed point theorem in cones.

Existence of Solutions for a Coupled System of Three–point Fractional Order Boundary Value Problems

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.