<p style='text-indent:20px;'>In this paper, we study the nonlocal problem for pseudo-parabolic equation with time and space fractional derivatives. The derivative is of Caputo type order <inline-formula><tex-math id="M1">\begin{document}$ \sigma,\; \; 0<\sigma<1 $\end{document}</tex-math></inline-formula> id="M2">\begin{document}$ \alpha,\beta &amp...

In this paper we study particular classes of pseudo-BCK algebras, bounded or not bounded, as pseudo-BCK(pP) algebras, pseudo-BCK(pP) lattices, pseudo-Hájek(pP) algebras and pseudo-Wajsberg algebras. We introduce new classes of pseudo-BCK(pP) lattices, we establish hierarchies and we give some examples. We work with left-defined algebras and we work with → and ; as primitive operations, not with...

A global secondary CR invariant is defined as the integral of a pseudo-hermitian which independent choice pseudo-Einstein contact form. We prove that any on strictly pseudoconvex five-manifolds linear combination total Q ′ -curvature, I and local invariant.

By employing upper and lower solutions method together with maximal principle, we establish a necessary and sufficient condition for the existence of pseudo-C3 0, 1 as well as C2 0, 1 positive solutions for fourth-order singular p-Laplacian differential equations with integral boundary conditions. Our nonlinearity f may be singular at t 0, t 1, and u 0. The dual results for the other integral b...

Pseudo-analysis is basing on the fact that instead of the usual field of real numbers a semiring is taken on a real interval of the extended real numbers with pseudo operations: pseudo-addition and pseudo-multiplication. Starting from the semiring structure, it is developed by Maslov and his group the so called idempotent analysis, and then in a more general setting (Sugeno, Murofushi, Pap, Kli...

The Euclidean action with acceleration has been analyzed in Ref. 1, and referred to henceforth as Paper I, for its Hamiltonian and path integral. In this paper, the state space of the Hamiltonian is analyzed for the case when it is pseudo-Hermitian (equivalent to a Hermitian Hamiltonian), as well as the case when it is inequivalent. The propagator is computed using both creation and destruction...

In this paper we consider a multicriteria aggregation model where local utility functions of different sorts are aggregated using Sugeno integrals, and which we refer to as Sugeno utility functions. We propose a general approach to study such functions via the notion of pseudoSugeno integral (or, equivalently, pseudo-polynomial function), which naturally generalizes that of Sugeno integral, and...

In this paper, we introduce pseudo-Carleson measure, a generalization of Carleson for Fock spaces, and give sufficient necessary conditions complex Borel measure to be pseudo-Carleson. We then integral representations functions in space, use the measures characterize boundedness compactness small Hankel operators on spaces.

An attempt is given to formulate the extensions of the KP hierarchy by introducing fractional order pseudo-differential operators. In the case of the extension with the half-order pseudo-differential operators, a system analogous to the supersymmetric extensions of the KP hierarchy is obtained. Unlike the supersymmetric extensions, no Grassmannian variable appears in the hierarchy considered he...

The D-pseudo-boson formalism is illustrated with two examples. The first one involves deformed complex Hermite polynomials built using finite-dimensional irreducible representations of the group GL(2,C) of invertible 2 × 2 matrices with complex entries. It reveals interesting aspects of these representations. The second example is based on a pseudo-bosonic generalization of operator-valued func...