Quadratic integral equations of fractional order have been studied from different views. Here we shall study the existence continuous solutions a ϕ− fractional-orders quadratic functional equation, establish some properties these and prove maximal minimal that equation. Moreover, introduce particular cases to illustrate our results.

Equation of state dense nuclear matter is explored in the KIDS density functional theory. Parameters equation which are coefficients energy expanded powers $(\rho - \rho_0)/3\rho_0$ where $\rho$ and $\rho_0$ its at saturation constrained by using both data mass-radius relation neutron star determined from modern astronomy. We find that combination can reduce uncertainty parameters significantly...

Abstract In this paper, we introduce a new quadratic functional equation and, motivated by equation, investigate n -variables mappings which are in each variable. We show that such can be unified as an namely, multi-quadratic equation. also apply fixed point technique to study the stability for equations. Furthermore, present example and few corollaries corresponding hyperstability outcomes.

We prove an existence theorem for a quadratic functional-integral equation of mixed type. The functional-integral equation studied below contains as special cases numerous integral equations encountered in nonlinear analysis. With help of a suitable measure of noncompactness, we show that the functional integral equation of mixed type has solutions being continuous and bounded on the interval [...

and Applied Analysis 3 Clearly, every Menger PN-space is probabilistic metric space having a metrizable uniformity on X if supa<1T a, a 1. Definition 1.3. Let X,Λ, T be a Menger PN-space. i A sequence {xn} in X is said to be convergent to x in X if, for every > 0 and λ > 0, there exists positive integer N such that Λxn−x > 1 − λ whenever n ≥ N. ii A sequence {xn} in X is called Cauchy sequence ...