We use two parameters for functions whose second (q, ?)-derivatives are bounded in order to prove several recent extensions of the Ostrowski inequality and its companion inequalities on ?)-Hahn difference operator. Furthermore, we procure some q-integral continuous as special cases main results well these generalizations. Symmetry plays an essential role determining correct methods solve dynami...

some necessary and sufficient conditions are given for the existence of a g-positive (g-repositive) solution to adjointable operator equations $ax=c,axa^{left( astright) }=c$ and $axb=c$ over hilbert $c^{ast}$-modules, respectively. moreover, the expressions of these general g-positive (g-repositive) solutions are also derived. some of the findings of this paper extend some known results in the...

This study focused on the existence and uniqueness(EU) stability of solution for a system fractional differential equations(FDEs) via Atangana-Baleanu derivative in sense Caputo (ABC) with \(\phi_{p}\)-Laplacian operator. Green function \( \mathcal{G}^{\eth}(t,s)\), \(m<\eth<m+1\), \(m\geq4\) used converting suggested problem to an integral equation. Guo-Krasnoselskii theorem proving EU problem...

We consider the operator T = m k=1 A 1k ⊗ A 2k (1 ≤ m < ∞), where A lk are n l × n l matrices (k = 1,. .. , m; l = 1, 2), ⊗ means the tensor product. Norm estimates for the resolvent of that operator are derived. By these estimates, we obtain bounds for a solution X of the equation m k=1 A 1k X A 2k = C and explore perturbations of that equation. The norm estimates for the resolvent of T enable...