In this paper, we construct the quasi-Banach algebra BC(N) of non-Newtonian bicomplex numbers and generalize some topological concepts inequalities as Schwarz?s, H?lder?s Minkowski?s in set sense calculus.

Many investigations have been made about of Non-Newtonian calculus and superposition operators until today. operator was defined by Sa??r Erdo?an in [9]. In this study, we *- boundedness *-locally operator. We proved that the non-Newtonian $_{N}P_{f}:c_{_{0,\alpha }}\rightarrow \ell _{1,\beta }$ is bounded if only f satisfies condition (NA??). Then shown necessary sufficient conditions for *-bo...

Multiplicative calculus, also called non-Newtonian represents an alternative approach to the usual calculus of Newton (1643–1727) and Leibniz (1646–1716). This type was first introduced by Grossman Katz it provides a defined calculation, from start, for positive real numbers only. In this investigation, we propose study symmetrical fractional multiplicative inequalities Simpson type. For this, ...

In this paper we present a new theory of calculus over k-dimensional domains in a smooth n-manifold, unifying the discrete , exterior, and continuum theories. The calculus begins at a single point and is extended to chains of finitely many points by linearity, or superposition. It converges to the smooth continuum with respect to a norm on the space of " monopolar chains, " culminating in the c...

In this paper we present a new theory of calculus over k-dimensional domains in a smooth n-manifold, unifying the discrete , exterior, and continuum theories. The calculus begins at a single point and is extended to chains of finitely many points by linearity, or superposition. It converges to the smooth continuum with respect to a norm on the space of " pointed chains, " culminating in the cha...

In this paper, the study of fully developed flow a self-similar (fractal) power-law fluid is presented. The rheological way behaving modeled utilizing Ostwald–de Waele relationship (covering shear-thinning, Newtonian and shear-thickening fluids). A depicted as continuum in noninteger dimensional space. Involving vector calculus for instance space, we determine an analytical solution Cauchy equa...