Existence and uniqueness of solutions to functional integro-differential fractional equations

Using a fixed point theorem in a Banach algebra, we prove an existence result for a fractional functional differential equation in the Riemann- Liouville sense. Dependence of solutions with respect to initial data and an uniqueness result are also obtained

New algebraic structures in the CλC_{\lambda}-extended Hamiltonian system

A realization of various algebraic structures in terms of the $C_{\lambda}$-extended oscillator algebras is introduced. In particular, the $C_{\lambda}$-extended oscillator algebras realization of Fairlie-Fletcher-Zachos (FFZ)algebra is given. This latter lead easily to the realization of the quantum $U_t(sl(2))$ algebra. The new deformed Virasoro algebra is also presented.Comment: 10 page

Proposed Developments of Blind Signature Scheme based on The Elliptic Curve Discrete Logarithm Problem

In recent years, Elliptic Curve Cryptography (ECC) has attracted the attention of researchers due to its robust mathematical structure and highest security compared to other existing algorithm like RSA. Our main objective in this work was to provide a novel blind signature scheme based on ECC. The security of the proposed method results from the infeasibility to solve the discrete logarithm over an elliptic curve. In this paper we introduce a proposed to development the blind signature scheme with more complexity as compared to the existing schemes. Keyword: Cryptography, Blind Signature, Elliptic Curve, Blindness, Untraceability.DOI: 10.18495/comengapp.21.15116

On the matrix realization of (q,p)-deformed centreless Virasoro algebra

Submitted to Journal of Mathematical PhysicsConsiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle RichercheSIGLEITItal

q-area preserving algebras and the matrix algebra a_infinity

Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle RichercheSIGLEITItal

On the q-deformation of certain infinete dimensional Lie algebras

Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle RichercheSIGLEITItal