Fractional resolvent operator with α ∈ (0,1) and applications

Applications of Multivalent Functions Associated with Generalized Fractional Integral Operator

By using a method based upon the Briot-Bouquet differential subordination, we investigate some subordination properties of the generalized fractional integral operator , , 0,z       p    which was defined by Owa, Saigo and Srivastava [1]. Some interesting further consequences are also considered.

Non-Perturbative Dirac Operator Resolvent Analysis

We analyze the 1 + 1 dimensional Nambu-Jona-Lasinio model nonperturbatively. In addition to its simple ground state saddle points, the effective action of this model has a rich collection of non-trivial saddle points in which the composite fields σ(x) = 〈ψ̄ψ〉 and π(x) = 〈ψ̄iγ5ψ〉 form static space dependent configurations because of non-trivial dynamics. These configurations may be viewed as one d...

Resolvent Estimates of the Dirac Operator

Fuzzy resolvent equation with $H(cdot,cdot)$-$phi$-$eta$-accretive operator in Banach spaces

In this paper, we introduce and study fuzzy variational-like inclusion, fuzzy resolvent equation and $H(cdot,cdot)$-$phi$-$eta$-accretive operator in real  uniformly smooth Banach spaces. It is established that fuzzy variational-like inclusion is equivalent to a fixed point problem as well as to a fuzzy resolvent equation. This equivalence is used to define an iterative algorithm for solving fu...

Resolvent Operator Method for General Variational Inclusions

In this paper, we introduce a new class of variational inclusions involving three operator. Using the resolvent operator technique, we establish the equivalence between the general variational inclusions and the resolvent equations. We use this alternative equivalent formulation to suggest and analyze some iterative methods for solving the general variational inclusions. We also consider the cr...