in this article, we verify existence and uniqueness of positive and nondecreasing solution for nonlinear boundary value problem of fractional differential equation in the form d_{0^{+}}^{alpha}x(t)+f(t,x(t))=0, 0x(0)= x'(0)=0, x'(1)=beta x(xi), where $d_{0^{+}}^{alpha}$ denotes the standard riemann-liouville fractional derivative, 0an illustrative example is also presented.

fuzzy relation inequalities based on max-f composition are discussed, where f is a binary aggregation on [0,1]. for a fixed fuzzy relation inequalities system $ a circ^{f}textbf{x}leqtextbf{b}$, we characterize all matrices $ a^{'} $ for which the solution set of the system $ a^{' } circ^{f}textbf{x}leqtextbf{b}$ is the same as the original solution set. similarly, for a fixed matrix ...

in this article we consider the averaging method for differential inclusions with fuzzy right-hand side for the case when the limit of a method of an average does not exist.

1 (a) Claim: R[X, Y ] is not a Euclidean domain. Proof: If R[X, Y ] was a Euclidean domain, then it would be a principal ideal domain. But consider I = (x, y) = (x) + (y). I is certainly not a principal ideal, as if it were, there would be some polynomial, g that divides everything in I, so g would divide x, implying that g does not contain any monomials with positive degree in y, and likewise ...

Abstract In the present paper, problem of estimating contingent cone to solution set associated with certain set-valued inclusions is addressed by variational analysis methods and tools. As a main result, inner (resp. outer) approximations, which are expressed in terms outer inner) prederivatives term appearing inclusion problem, provided. For evidence arises that metric increase property for m...