MIR, HAJAR EL, MAMOUNI, ABDELLAH, and OUKHTITE, LAHCEN
Subjects
*LAPLACIAN operator, *FRACTIONAL differential equations, *DIFFERENTIAL equations, *MATHEMATICS, *FIXED point theory
Abstract
In this paper we give a classification of endomorphisms and additive mappings of a prime ring satisfying certain algebraic identities. Moreover, we provide an example proving that the primeness hypothesis imposed in our theorems is not superfluous. [ABSTRACT FROM AUTHOR]
BEDDANI, HAMID, BEDDANI, MOUSTAFA, and DAHMANI, ZOUBIR
Subjects
*LAPLACIAN operator, *FRACTIONAL differential equations, *DIFFERENTIAL equations, *MATHEMATICS, *FIXED point theory
Abstract
In this paper, we study the existence and uniqueness of solutions for a tripled system of fractional differential equations with nonlocal integro multi point boundary conditions by using the p-Laplacian operator and the γ-Caputo derivatives. The presented results are obtained by the two fixed point theorems of Banach and Krasnoselskii. An illustrative example is presented at the end to show the applicability of the obtained results. To the best of our knowledge, this is the first time where such problem is considered. [ABSTRACT FROM AUTHOR]
A graph G is called a fractional ID-k-factor-critical graph if after deleting any independent set of G the resulting graph admits a fractional k-factor. In this paper, we prove that for k≥2, G is a fractional ID-k-factor-critical graph if δ(G) ≥n/3+k,σ2(G)≥4n/3,n≥6k-8 The result is best possible in some sense. [ABSTRACT FROM AUTHOR]