Contemporary Mathematics, Volume 1 Issue 2 (2020), 54-111

Open Access Article

Algorithm for the Numerical Solutions of Volterra Population Growth Model with Fractional Order via Haar Wavelet

by Rohul Amin, Şuayip Yüzbaşi, Liping Gao, Muhammad Asif, Imran Khan

ABSTRACT: In this paper, a new collocation method based on the Haar wavelet is developed for the numerical solution of the fractional Volterra model (FVM) for the population growth of a species in a closed...

Open Access Article

A Note on Differential Identities in Prime and Semiprime Rings

by Mohammad Shadab Khan, Mohd Arif Raza, Nadeemur Rehman

ABSTRACT: Let R be a prime ring, I a nonzero ideal of R , d a derivation of R and m , n fixed positive integers. ( i ) If ( d ( r ○ s )( r ○ s ) + ( r ○ s ) d ( r ○ s ) n - d ( r...

Open Access Article

Meromorphic Functions Sharing Three Values and a Result of G. Brosch

by Indrajit Lahiri, Rajib Mukherjee

ABSTRACT: We prove a uniqueness theorem for two non-constant meromorphic functions sharing three values which improves a result of G. Brosch.

Open Access Article

Some Algebraic Properties of ℓᵖ(β)

by Y. Estaremi, M. R. Jabbarzadeh

ABSTRACT: In this paper, we consider a generalized Cauchy product ◊ on ℓ p ( β ) and then we characterized some Banach algebra structures for ℓ p ( β ).  Also, some classic properties of...

Open Access Article

Nonlinear Partial Differential Equations Arising from Prescribed Curvature Problems

by Man Chun Leung

ABSTRACT: We consider two prominent nonlinear partial differential equations (nonlinear PDE) linked to the prescribed curvature problems, namely, the Minkowski problem and the Kazdan-Warner/Nirenberg...