In this paper, we derived integral inequalities of Hermite-Hadamard type in the setting of multiplicative calculus for multiplicatively convex and convex functions. We also derived integral inequalities of Hermite-Hadamard type for product and quotient of multiplicatively convex...
Open access
Research Article10.9734/arjom/2019/v12i330084
In the present work, a fractional-order differential equation based on the Susceptible-Infected- Recovered (SIR) model with nonlinear incidence rate in a continuous reactor is proposed. A profound qualitative analysis is given. The analysis of the local and global stability of eq...
Open access
Research Article10.9734/arjom/2019/v12i230082
We consider planar GCn node sets, i.e., n-poised sets whose all n-fundamental polynomials are products of n linear factors. Gasca and Maeztu conjectured in 1982 that every such set possesses a maximal line, i.e., a line passing through n + 1 nodes of the set. Till now the conject...
Open access
Research Article10.9734/arjom/2019/v12i230083
This paper is devoted to find the form of the solutions of a rational difference equations with arbitrary positive real initial conditions. Specific form of the solutions of two special cases of this equation are given.
Open access
Research Article10.9734/arjom/2019/v12i230081
We manifest some fixed point and common fixed point results for non-Newtonian expansive maps defined on non-Newtonian metric spaces. The results offered in this article comprise non-Newtonian metric generalizations of some fixed point results in the literature.
Open access
Research Article10.9734/ARJOM/2019/46298
In this work, fifth-order Boundary-Value Problems (BVPs) in Ordinary Differential Equation are solved numerically using Boundary Value Method. Continuous linear multistep methods are developed with continuous coefficients. This constitutes appropriate methods termed the main and...
Open access
Research Article10.9734/ARJOM/2019/46477
Recently the existence of random attractors for a stochastic reaction-diffusion equation without distribution derivatives has been studied by many authors, the existence of global attractors was established for the deterministic reaction-diffusion equation with distribution deriv...
Open access
Research Article10.9734/ARJOM/2019/46304
Tuberculosis (TB) is an infectious disease that usually affect the lungs. It is caused by bacteria and spread through the air. Due to the high rate of spread and later leads to death due to TB, this led to formulation of a model in order to enlighten the public and health departm...
Open access
Research Article10.9734/ARJOM/2019/45821
In this work, nonlinear vibration of microbeams under magnetic field is studied. The equation governing motion of microbeam resting on a linear elastic layer and under magnetic field is derived by using the modified couple stress theory and Hamilton’s principle. Amplitude–frequen...
Open access
Research Article10.9734/ARJOM/2019/46392
We define two integer sequences that depend on a parameter and that are related to each other by two recurrence relations. Then we find the Binet formula for the terms of these sequences and, by developing it, we will get an equivalent combinatorial formula. We show that each seq...
Open access
Research Article10.9734/ARJOM/2019/45436
Negative velocity controller (NVC) is used to reduce the vibration of a two degree of freedom nonlinear system subjected to parametric excitation forces. The vibrating motion of the system described by two coupled differential equation, the worst resonance case of the system near...
Open access
Research Article10.9734/ARJOM/2019/45054
This paper is dealt with some properties of an n-inner product space with n ≥ 2.The motivation of this paper is to establish the explicit forms of n-inner product space via an n-normed linear space. Some inter related results among n-normed linear space and n-inner product space...
Open access
Research Article10.9734/ARJOM/2018/43135
We studied equation of continuity and boundary layer thickness. The Blasius and Falkner equations are studied in order to investigate the guess values in various boundary layer thicknesses, and Falknar-skan equations shows when velocity profile has a point of inflection in case o...
Open access
Research Article10.9734/ARJOM/2018/45267
This article furnishes a new and simple matrix inversion method which makes full use of the condensation technique of the author of Alice's Adventures in Wonderland, Charles Dodgson. A special feature of this article is the adoption of Bhaskara's Law of Impending Operation on Zer...
Open access
Research Article10.9734/ARJOM/2018/45010
This paper considers second derivative multistep methods with nested hybrid evaluation (MMNHE). The methods derived are A-stable for step number k = 1(1)8. The schemes have been implemented on some stiff problems, the results obtained are compared with a second derivative linear...
Open access
Research Article10.9734/ARJOM/2018/41601