The classes [Formula: see text] of flat relative Mittag-Leffler modules are sandwiched between the class all (absolute) modules, and modules. Building on works Angeleri Hügel, Herbera, Šaroch, we give a characterization in terms their local structure, show that Enochs’ Conjecture holds for text]. In final section, apply these results to particular setting text]-projective

With the increasing importance of Mittag-Leffler function in physical applications, these days many researchers are studying various generalizations and extensions function. In this paper efforts made to define bicomplex extension also its analyticity region convergence discussed. Various properties including integral representation, recurrence relations, duplication formula differential relati...

The paper is devoted to the study of subdiffusion equations with Mittag-Leffler nonlinearity. The comparison principle proved in a bounded domain. results on local existence, global and blow-up solutions initial-boundary value problem are obtained. In addition, existence initial whole Euclidean space proven.

The paper is devoted to study analogues of the van der Corput lemmas involving Mittag-Leffler functions. generalisation that we replace exponential function with Mittag-Leffler-type function, oscillatory integrals appearing in analysis time-fractional partial differential equations. More specifically, integral form I?,?(?)=?RE?,?(i???(x))?(x)dx, for range 00. This extends variety estimat...

This article studies the global Mittag-Leffler stability of fractional order fuzzy cellular neural networks via hybrid feedback controllers. Based on control technique Lyapunov approach, and some novel analysis techniques calculation, sufficient conditions are obtained to guarantee Global Mittag-Lefflers stability. Finally, two simulation example given illustrate effectiveness proposed method.

In this article, the researcher considered some well-known mathematical models of ordinary differential equations applied in biology such as bacterial growth, natural FC solution for vegetables, biological phospholipids pathway, glucose absorption by body and spread epidemics. The each model are fractionalized means Caputo derivative a function with respect to certain exponential function. mode...