Articles

The need for the fractional operators

In this review paper, I focus on presenting the reasons of extending the partial differential equations to space-time fractional differential equations. I believe that extending any partial differential equati...

Authors: E. A. Abdel-Rehim

A numerical study on MHD double diffusive nonlinear mixed convective nanofluid flow around a vertical wedge with diffusion of liquid hydrogen

The present study focuses on double diffusive nonlinear (quadratic) mixed convective flow of nanoliquid about vertical wedge with nonlinear temperature-density-concentration variations. This study is found to ...

Authors: Prabhugouda Mallanagouda Patil and Madhavarao Kulkarni

Three-point iterative algorithm in the absence of the derivative for solving nonlinear equations and their basins of attraction

Authors: Mohamed S. M. Bahgat

Oscillation of nonlinear neutral dynamic equations on time scales

The authors present necessary and sufficient conditions for the oscillation of a class of second order non-linear neutral dynamic equations with non-positive neutral coefficients by using Krasnosel’skii’s fixe...

Authors: G. N. Chhatria, Said R. Grace and John R. Graef

Analyzing and solving the identifiability problem in the exponentiated generalized Weibull distribution

The well-known Weibull distribution can be used to model the decreasing and unimodal failure rate quite standard in reliability and biological studies. It is also commonly adopted as baseline to generate new d...

Authors: Felipe R. S. de Gusmão, Frank Gomes-Silva, Cícero C. R. de Brito, Fábio V. J. Silveira, Jader S. Jale, Sílvio F. A. Xavier-Júnior and Pedro R. D. Marinho

Variable demand model for periodically reviewing with allowing refunding parts of the orders

Depending on a field study for one of the largest iron and paints warehouses in Egypt, this paper presents a new multi-item periodic review inventory model considering the refunding quantity cost. Through this...

Authors: O. M. Hollah

Nonuniform biorthogonal wavelets on positive half line via Walsh Fourier transform

In this article, we introduce the notion of nonuniform biorthogonal wavelets on positive half line. We first establish the characterizations for the translates of a single function to form the Riesz bases for ...

Authors: Owais Ahmad, Neyaz A. Sheikh and Mobin Ahmad

Flow and heat transfer in a rectangular converging (diverging) channel: new formulation

In this paper, a model problem of viscous flow and heat transfer in a rectangular converging (diverging) channel has been investigated. The governing equations are presented in Cartesian Coordinates and conse...

Authors: Roohi Laila, Dil Nawaz Khan Marwat and Azhar Ali

Estimation for two exponential life time models under joint multiply type-II censoring

Various types of censoring schemes basically type-I and type-II censoring schemes and their modified versions are used in life testing experiments. Most of the tests used in life testing experiments are based ...

Authors: Neha K. Gadhvi

Modeling the dynamics of Lassa fever in Nigeria

Lassa fever is a zoonotic disease spread by infected rodents known as multimammate rats. The disease has posed a significant and major health challenge in West African countries, including Nigeria. To have a d...

Authors: Mayowa M. Ojo, B. Gbadamosi, Temitope O. Benson, O. Adebimpe and A. L. Georgina

Mathematical modeling of the impact of treatment on the dynamics of typhoid

In this paper, we propose a mathematical model for the transmission of typhoid which analyzes the impact of treatment of the infected individuals on the dynamics of the disease. The model consists of human pop...

Authors: Halson O. Nyaberi and Jane S. Musaili

MHD Powell–Eyring dusty nanofluid flow due to stretching surface with heat flux boundary condition

A steady MHD boundary layer flow of Powell–Eyring dusty nanofluid over a stretching surface with heat flux condition is studied numerically. It is assumed that the fluid is incompressible and the impacts of th...

Authors: Omima A. Abo-zaid, R. A. Mohamed, F. M. Hady and A. Mahdy

Modeling the COVID-19 spread, a case study of Egypt

In this article, the authors applied a logistic growth model explaining the dynamics of the spread of COVID-19 in Egypt. The model which is simple follows well-known premises in population dynamics. Our aim is...

Authors: Assem S. Deif and Sahar A. El-Naggar

k-Zumkeller labeling of super subdivision of some graphs

Authors: M. Basher

Hydrodynamic effect of slip boundaries and exponentially decaying/growing time-dependent pressure gradient on Dean flow

Hydrodynamic behaviour of slip flow and radially applied exponential time-dependent pressure gradient in a curvilinear concentric cylinder is examined. A two-step method of solution has been utilized in resolv...

Authors: Basant K. Jha and Dauda Gambo

Dynamics of a second-order nonlinear difference system with exponents

In this paper, we study the persistence, boundedness, convergence, invariance and global asymptotic behavior of the positive solutions of the second-order difference system ...

Authors: D. S. Dilip and Smitha Mary Mathew

On L-fuzzy closure operators and L-fuzzy pre-proximities

The aim of this paper is to investigate the relations among the L-fuzzy pre-proximities, L-fuzzy closure operators and L-fuzzy co-topologies in complete residuated lattices. We show that there is a Galois corresp...

Authors: A. A. Ramadan, E. H. Elkordy and M. A. Usama

Mathematical modelling of the COVID-19 pandemic with demographic effects

In this paper, a latent infection susceptible–exposed–infectious–recovered model with demographic effects is used to understand the dynamics of the COVID-19 pandemics. We calculate the basic reproduction number (

Authors: Abdul A. Kamara, Lagès N. Mouanguissa and Godfrey Okumu Barasa

An accelerated solution for some classes of nonlinear partial differential equations

In this paper, we apply an accelerated version of the Adomian decomposition method for solving a class of nonlinear partial differential equations. This version is a smart recursive technique in which no diffe...

Authors: I. L. El-Kalla, E. M. Mohamed and H. A. A. El-Saka

An efficient algorithm to solve damped forced oscillator problems by Bernoulli operational matrix of integration

An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives was obtained in Yang and Srivastava (Commun Nonlinear Sci Numer...

Authors: Mithilesh Singh, Seema Sharma and Sunil Rawan

Hasimoto surfaces in Galilean space \(G_{3}\)

Authors: M. Elzawy

The influence of density in population dynamics with strong and weak Allee effect

In this paper, we consider a reaction–diffusion model in population dynamics and study the impact of different types of Allee effects with logistic growth in the heterogeneous closed region. For strong Allee e...

Authors: Kamrun Nahar Keya, Md. Kamrujjaman and Md. Shafiqul Islam

The cordiality of the sum and union of two fourth power of paths and cycles

A simple graph is called cordial if it has 0-1 labeling that satisfies certain conditions. In this paper, we examine the necessary and sufficient conditions for cordial labeling of the sum and union of two fo...

Authors: Ashraf Elrokh and Aya Rabie

The periodic rotary motions of a rigid body in a new domain of angular velocity

In the previous works, the limiting case for the motion of a rigid body about a fixed point in a Newtonian force field, which comes from a gravity center lies on Z-axis, is solved. The authors apply the small par...

Authors: A. I. Ismail

Melting heat transfer assessment on magnetic nanofluid flow past a porous stretching cylinder

The assessment of melting heat transfer and non-uniform heat source on magnetic Cu–H₂O nanofluid flow through a porous cylinder was studied. The transformed differential equations describing the motion of Cu–H₂O ...

Authors: Khilap Singh, Alok Kumar Pandey and Manoj Kumar

Diffusion-thermo and thermal-diffusion effects with inclined magnetic field on unsteady MHD slip flow over a permeable vertical plate

In this study, various fluid physical quantities effects such as diffusion-thermo, thermal-diffusion, thermal radiation, viscous dissipation, inclined magnetic field on unsteady MHD slip flow over a permeable ...

Authors: T. L. Oyekunle and S. A. Agunbiade

Sensitivity and mathematical model analysis on secondhand smoking tobacco

Authors: Birliew Fekede and Benyam Mebrate

On \(\psi _{{\mathcal{H}}}( . )\)-operator in weak structure spaces with hereditary classes

Weak structure space (briefly, wss) has master looks, when the whole space is not open, and these classes of subsets are not closed under arbitrary unions and finite intersections, which classify it from typical ...

Authors: H. M. Abu-Donia and Rodyna A. Hosny

An asymptotic model for solving mixed integral equation in some domains

Authors: Mohamed Abdella Abdou and Hamed Kamal Awad

L-fuzzy pre-proximities, L-fuzzy filters and L-fuzzy grills

This article gives results on fixed complete lattice L-fuzzy pre-proximities, L-fuzzy grills and L-fuzzy filters. Moreover, we investigate the relations among the L-fuzzy pre-proximities , L-fuzzy grills and L-fu...

Authors: A. A. Ramadan, M. A. Usama and A. A. Abd El-Latif

Multiset concepts in two-universe approximation spaces

Rough set theory over two universes is a generalization of rough set model to find accurate approximations for uncertain concepts in information systems in which uncertainty arises from existence of interrelat...

Authors: O. A. Embaby and Nadya A. Toumi

Bifurcation analysis of a composite cantilever beam via 1:3 internal resonance

In this paper, we study a multiple scales perturbation and numerical solution for vibrations analysis and control of a system which simulates the vibrations of a nonlinear composite beam model. System of secon...

Authors: M. Sayed, A. A. Mousa, D. Y. Alzaharani, I. H. Mustafa and S. I. El-Bendary

Fixed point theorems for self and non-self F-contractions in metric spaces endowed with a graph

The main results obtained in this paper are fixed point theorems for self and non-self GF-contractions on metric spaces endowed with a graph. Our new results are generalization of recently fixed point theorems fo...

Authors: Awais Younus, Muhammad Umer Azam and Muhammad Asif

Energy of inverse graphs of dihedral and symmetric groups

Let (G,∗) be a finite group and S={x∈G|x≠x⁻¹} be a subset of G containing its non-self invertible elements. The inverse graph of G denoted by Γ(G) is a graph whose set of vertices coincides with G such that two d...

Authors: O. Ejima, K. O. AREMU and A. Audu

Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative

In this paper, we introduce two reliable efficient approximate methods for solving a class of fractional Lane–Emden equations with conformable fractional derivative (CL-M) which are the so-called conformable H...

Authors: Adyan M. Malik and Osama H. Mohammed

Some nano topological structures via ideals and graphs

In this paper, new forms of nano continuous functions in terms of the notion of nano Iα-open sets called nano Iα-continuous functions, strongly nano Iα-continuous functions and nano Iα-irresolute functions will b...

Authors: Abd El-Fattah A. El-Atik and Hanan Z. Hassan

Flow and heat transfer analysis of Eyring-Powell fluid over stratified sheet with mixed convection

This article presents the study of heat transfer under the influence of mixed convective flow of Eyring-Powell fluid over a stratified stretching sheet. The impact of heat generation/absorption is also discuss...

Authors: Muhammad Bilal and Samia Ashbar

Some integrals involving k gamma and k digamma function

In this paper, some new integrals involving k gamma function and k digamma function have been established. An integral is established involving k gamma function, and its special values are discussed. Similarly, s...

Authors: Saeed Ahmed

ψ*-closed sets in fuzzy topological spaces

In this paper, we introduce a new class of fuzzy sets, namely, fuzzy ψ*-closed sets for fuzzy topological spaces, and some of their properties have been proved. Further, we introduce fuzzy ψ*-continuous, fuzzy ψ*

Authors: M. A. Abd Allah and A. S. Nawar

The searching algorithm for detecting a Markovian target based on maximizing the discounted effort reward search

This paper presents the searching algorithm to detect a Markovian target which moves randomly in M-cells. Our algorithm is based on maximizing the discounted effort reward search. At each fixed number of time int...

Authors: Mohamed Abd Allah El-Hadidy

Fuzzy rough sets with a fuzzy ideal

In this paper, we defined the fuzzy upper, fuzzy lower, and fuzzy boundary sets of a rough fuzzy set λ in a fuzzy approximation space (X,R). Based on λ and R, we introduced the fuzzy ideal approximation interior ...

Authors: Ismail Ibedou and S. E. Abbas

Analysis of the finiteness for the first collision time between two randomly moving particles

The finiteness of the collision time between two different randomly moving particles is presented by providing more useful analysis that gives stronger and finite moment. The triangular arrays and the uniform ...

Authors: Alaa A. Alzulaibani

Seventh order hybrid block method for solution of first order stiff systems of initial value problems

A hybrid second derivative three-step method of order 7 is proposed for solving first order stiff differential equations. The complementary and main methods are generated from a single continuous scheme throug...

Authors: O. A. Akinfenwa, R. I. Abdulganiy, B. I. Akinnukawe and S. A. Okunuga

Application of a subordination theorem associated with certain new generalized subclasses of analytic and univalent functions

The prime focus of the present work is to investigate some fascinating relations of some analytic and univalent functions using a subordination theorem.

Authors: J. O. Hamzat and R. M. El-Ashwah

Effects of Navier slip on a steady flow of an incompressible viscous fluid confined within spirally enhanced channel

Investigation of the effect of slip on natural convective flow and heat transfer of a viscous incompressible fluid confined within a channel made up of a long vertical wavy wall and a parallel flat wall is car...

Authors: J. A. Gbadeyan, J. U. Abubakar and T. L. Oyekunle

Dot product graphs and domination number

Let A be a commutative ring with 1≠0 and R=A×A. The unit dot product graph of R is defined to be the undirected graph UD(R) with the multiplicative group of units in R, denoted by U(R), as its vertex set. Two dis...

Authors: Dina Saleh and Nefertiti Megahed

Convergence analysis and parity conservation of a new form of a quadratic explicit spline with applications to integral equations

In this study, a new form of a quadratic spline is obtained, where the coefficients are determined explicitly by variational methods. Convergence is studied and parity conservation is demonstrated. Finally, th...

Authors: Alberto José Ferrari, Luis Pedro Lara and Eduardo Adrian Santillan Marcus

The T–R {Y} power series family of probability distributions

A new family of univariate probability distributions called the T − R {Y} power series family of probability distributions is introduced in this paper by compounding the T − R {Y} family of distributions and the ...

Authors: Patrick Osatohanmwen, Francis O. Oyegue and Sunday M. Ogbonmwan

On the inverse sum indeg index of some graph operations

Topological indices are the molecular descriptors that describe the structures of chemical compounds. They are used in isomer discrimination, structure-property relationship, and structure-activity relations. ...

Authors: Özge Çolakoǧlu Havare

Generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in \(E_{1}^{3}\)

Equiform geometry is considered as a generalization of the other geometries. In this paper, involute and evolute curves are studied in the case of the curve α is an equiform spacelike with a timelike equiform pri...

Authors: A. Elsharkawy