In this article, we propose the definition of one parameter matrix Mittag-Leffler functions of fractional nabla calculus and present three different algorithms to construct them. Examples are provided to illustrate the applicability of suggested algorithms.

A special function is a that typically entitled after an early scientist who studied its features and has specific application in mathematical physics or another area of mathematics. There are few significant examples, including the hypergeometric unique species. These types functions generalized by fractional calculus, fractal, q-calculus, (q,p)-calculus k-calculus. By engaging notion q-fracti...

ZX-calculus is a graphical language for quantum computing which complete in the sense that calculation matrices can be done purely diagrammatic way. However, all previous universally axiomatisations of have included at least one rule involving trigonometric functions such as sin and cos makes it difficult application purpose. In this paper we give an algebraic axiomatisation instead there are o...

In this paper, the notion of strongly typed language will be borrowed from field computer programming to introduce a calculational framework for linear algebra and tensor calculus purpose detecting errors resulting inherent misuse objects finding natural formulations various objects. A bundle formalism, crucially relying on pullback bundle, used create rich type system with which distinguish Th...