ABSTRACT In this paper, we employ the generalized fractional calculus operators on the generalized Mittag-Leffler function. Some results associated with generalized Wright function are obtained. Recent results of Chaurasia and Pandey are obtained as special cases. 2000 MATHEMATICS SUBJECT CLASSIFICATION 33C45, 47G20, 26A33.

This article is concerned with the study of the geometry of determinant line bundles associated to families of spectral triples parametrized by the moduli space of gauge equivalence classes of Hermitian connections on a Hermitian finite projective module. We illustrate our results with some examples that arise in noncommutative geometry. Mathematics Subject Classification (2000). 58B34; 46L87, ...

This paper presents a criteria for the existence and uniqueness of solutions to two point boundary value problems associated with a second order non-linear fuzzy differential equations. The main tools employed are estimates on Green’s function, Ascoli’s Lemma and a fixed point theorem of Banach. Mathematics subject classification (2000): 34A10, 26E50, 34B15.

The asymptotic behavior of the composition of two resolvents in a Hilbert space is investigated. Connections are made between the solutions of associated monotone inclusion problems and their dual versions. The applications provided include a study of an alternating minimization procedure and a new proof of von Neumann’s classical result on the method of alternating projections. 2000 Mathematic...

In this work we give a generalization of matched pairs of (finite) groups to describe a general class of depth two inclusions of factor von Neumann algebras and the C*-quantum groupoids associated with, using double groupoids. Date: Preliminary version of the 03/27/07. 1991 Mathematics Subject Classification. (2000) 46L37, 20L05, 20G42, 20 99.

In this paper, we study the class of generalized b-closed sets and use this notion to consider new weak and stronger forms of continuities associated with these sets. We apply these notions to give new characterization of extremally disconnected spaces and also Tgs-spaces. 2000 Mathematics Subject Classification: 54A10, 54C8, 54C10, 54D10

A procedure of the extension of orthogonal multiresolution analysis is introduced by assuming that φ1(x) ia an orthogonal uniscaling function and constructing a new orthogonal multiscaling function Φ(x) = [φ1(x), φ2(x)]. Moreover, an explicit formula of the orthogonal multiwavelets associated with Φ(x) is obtained. Finally, a construction example is given. 2000 Mathematics Subject Classificatio...

We define an invariant of welded virtual knots from each finite crossed module by considering crossed module invariants of ribbon knotted surfaces which are naturally associated with them. We elucidate that the invariants obtained are non-trivial by calculating explicit examples. We define welded virtual graphs and consider invariants of them defined in a similar way. 2000 Mathematics Subject C...

Let V be a de-Rham representation of the Galois group of a local field of mixed characteristic (0, p). We relate the Swan conductor of the associated Weil-Deligne representation to the irregularity of the corresponding p-adic differential equation. 2000 Mathematics Subject Classification: 11F80,11F85,11S15,12H25

Differential modules are modules over rings of linear (partial) differential operators which are finite-dimensional vector spaces. We present a generalization of the Beke-Schlesinger algorithm that factors differential modules. The method requires solving only one set of associated equations for each degree d of a potential factor. Mathematics Subject Classification (2000). 13N05; 13N10; 13N15;...