Comparison of Smallest Eigenvalues for Fractional-Order Nonlocal Boundary Value Problems

Comparison of Smallest Eigenvalues for Certain Fifth Order Boundary Value Problems

The theory of u0-positive operators is applied to a class of boundary value problems for some fifth order linear problems to establish some comparisons between smallest positive eigenvalues. AMS Subject Classifications: 34B05, 34B09, 34B25, 45C05, 47H07, 47N20.

Solvability of Nonlocal Fractional Boundary Value Problems

Positive Solutions and Eigenvalues of Nonlocal Boundary-value Problems

We study the ordinary differential equation x′′ + λa(t)f(x) = 0 with the boundary conditions x(0) = 0 and x′(1) = R 1 η x ′(s)dg(s). We characterize values of λ for which boundary-value problem has a positive solution. Also we find appropriate intervals for λ so that there are two positive solutions.

Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems

In this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-Laplacian fractional order differential equations. We use Schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. We include some examples to show the applicability of our results.

Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations

and Applied Analysis 3 involving fractional differential equations the same applies to the boundary value problems of fractional differential equations . Moreover, the Caputo derivative for a constant is zero while the Riemann-Liouville fractional derivative of a constant is nonzero. For more details, see 17 . Lemma 2.4 see 28 . For q > 0, the general solution of the fractional differential equ...