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LEAVITT PATH ALGEBRAS OF FINITE GELFAND–KIRILLOV DIMENSION
Groebner–Shirshov Basis and Gelfand–Kirillov dimension of the Leavitt path algebra are derived.
A Proposal to the Study of Contractions in Quasi-Metric Spaces
- H. Alsulami, E. Karapınar, F. Khojasteh, Antonio-Francisco Roldán-López-de-Hierro
- 6 August 2014
We investigate the existence and uniqueness of a fixed point of an operator via simultaneous functions in the setting of complete quasi-metric spaces. Our results generalize and improve several… Expand
Comparison of meshless local weak and strong forms based on particular solutions for a non-classical 2-D diffusion model
Abstract In the current work, a new aspect of the weak form meshless local Petrov–Galerkin method (MLPG), which is based on the particular solution is presented and well-used to numerical… Expand
An Ulam stability result on quasi-b-metric-like spaces
Abstract In this paper a class of general type α-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is… Expand
Application of the operational matrix of fractional-order Legendre functions for solving the time-fractional convection-diffusion equation
- S. Abbasbandy, S. Kazem, M. Alhuthali, H. Alsulami
- Mathematics, Computer Science
- Appl. Math. Comput.
- 1 September 2015
The application of the operational matrix of fractional-order Legendre functions (FLFs) to solve the time-fractional convection-diffusion equation has been investigated and the problem is solved. Expand
Some extensions for Geragthy type contractive mappings
In this paper, we establish some fixed point theorems on some extensions of Geragthy contractive type mappings in the context of b-metric-like spaces.
A study of fractional-order coupled systems with a new concept of coupled non-separated boundary conditions
In this paper, we introduce a new concept of coupled non-separated boundary conditions and solve a coupled system of fractional differential equations supplemented with these conditions. The… Expand
Structure of Leavitt path algebras of polynomial growth
- Adel Alahmedi, H. Alsulami, Surender K. Jain, E. Zelmanov
- Mathematics, Medicine
- Proceedings of the National Academy of Sciences
- 3 September 2013
The structure of Leavitt path algebras of polynomial growth are determined and their automorphisms and involutions are discussed. Expand
Regularity for MHD Second Grade Fluid in a Porous Space
A short-note on ‘Common fixed point theorems for non-compatible self-maps in generalized metric spaces’
The main aim of this short-note is point out that certain hypotheses assumed on some results in the very recent paper (Yang in J. Inequal. Appl. 2014:275, 2014) are unnecessary, and the results… Expand