Abstract The investigation of the Hamiltonian dynamical counterpart phase transitions, combined with Riemannian geometrization dynamics, has led to a preliminary formulation differential-topological theory transitions. In fact, in correspondence transition there are peculiar geometrical changes mechanical manifolds that found stem from their topology. These findings, together two theorems, have...

in addition to exploring constructions and properties of limits and colimits in categories of topologicalalgebras, we study special subcategories of topological algebras and their properties. in particular, undercertain conditions, reflective subcategories when paired with topological structures give rise to reflectivesubcategories and epireflective subcategories give rise to epireflective subc...

Fractional differential equations have been of great interest recently. This is because of both the intensive development of the theory of fractional calculus itself and the applications of such constructions in various scientific fields such as physics, mechanics, chemistry, engineering, etc. Differential equations with impulsive effects arising from the real world describe the dyn...