Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.
Ameth Ndiaye, Yazid Gouari, Zoubir Dahmani
In this paper: We study a nonlinear singular differential equation of Lane Emden type. The problem used the Caputo derivatives and Riemann-Liouville integrals. We first prove an existence and uniqueness result. Anot...
Maan A. Rasheed, Miroslav Chlebik
In this paper: In this paper, we consider the blow-up solutions of a semi-linear heat equation with a Neumann boundary condition, where the nonlinear terms, appear in the differential equation and in the boundary co...
Abdeldjalil Slama, Mohammed Debagh, Abdelghani Ouahab
In this paper: In this paper, we investigate the existence and uniqueness of solutions for a new class of coupled system of two Caputo fractional derivatives of different orders and a Riemann- Liouville type integra...
Adamu Shitu Hassan, Justin M. W. Munganga
In this paper: A delay differential equation-cholera model with infection from aquatic reservoir and environmental disinfection as intervention is constructed and analyzed in human population. It is assumed that the...
Ioannis K. Argyros, Manoj K. Singh
In this paper: The objective of this study is to investigate the Contraharmonic-mean Newton’s method (CHN) for solving equations in Banach space. Local analysis has been performed by Taylor’s expansion utilizing hig...
Layth T. Khudhuir, Hiba F. Al-Janaby, Ahmed M. Ali
In this paper: In the present study, a new complex convolution operator is introduced in terms of the meromorphic formula of the generalized Mittag-Leffler functions (MLfs), namely R– function. By employing the subo...
Ennis Rosas, Carlos Carpintero, José Sanabria, Sarhad F. Namiq
In this paper: In this article we obtain some answers for the open problem stated in [3] by Carpintero et al. If (X,τ,I) is an ideal topological space, under what conditions on the space and/or in the ideal, we can...
Abdulrahman N Akour, Emad K Jaradat, Audai A Mahadeen, Omar K Jaradat
In this paper: Homotopy perturbation method spread to express a good solution of one of most important equation in various areas in science which is the Bateman-Burgers’ Equation. Homotopy perturbation method (HPM)...
Mahboobeh Mohamadhasani
In this paper: O’Regan et al [Journal of Applied Mathematics Letters. 23 (2010) , pp. 446-448] constructed a function as a Lyapunov function for getting stability of endemic equilibrium of a mathematical model for a...
Basim A. Hassan, Hawraz N. Jabbar
In this paper: The quasi-Newton plays a basic role in constructing the Hessian approximation, and quasi-Newton algorithms are built based on it. In this paper, a new class quasi-Newton equation is presented. The pro...
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