Articles

A co-infection model of dengue and leptospirosis diseases

In this paper an SIR deterministic mathematical model for co-infection of dengue and leptospirosis is proposed. We use a compartment model by using ordinary differential equations. The positivity of future sol...

Authors: Haileyesus Tessema Alemneh

Modeling the effect of delay strategy on transmission dynamics of HIV/AIDS disease

In this manuscript, we investigate a nonlinear delayed model to study the dynamics of human-immunodeficiency-virus in the population. For analysis, we find the equilibria of a susceptible–infectious–immune sys...

Authors: Ali Raza, Ali Ahmadian, Muhammad Rafiq, Soheil Salahshour, Muhammad Naveed, Massimiliano Ferrara and Atif Hassan Soori

Pharmacokinetic modeling of Gadolinium nanoparticles (Gd-NPs) with the sojourn time in vasa vasorum for the contrast enhanced MRI

Deposition of lipid in the artery wall called atherosclerosis is recognized as a major cause of cardiovascular disease that leads to death worldwide. A better understanding into factors that may influence the ...

Authors: Angkhana Prommarat and Farida Chamchod

A linearized conservative Galerkin–Legendre spectral method for the strongly coupled nonlinear fractional Schrödinger equations

In this paper, based on Galerkin–Legendre spectral method for space discretization and a linearized Crank–Nicolson difference scheme in time, a fully discrete spectral scheme is developed for solving the stron...

Authors: Mingfa Fei, Guoyu Zhang, Nan Wang and Chengming Huang

Stability of deficiency indices for discrete Hamiltonian systems under bounded perturbations

This paper is concerned with stability of deficiency indices for discrete Hamiltonian systems under perturbations. By applying the perturbation theory of Hermitian linear relations we establish the invariance ...

Authors: Yan Liu and Meiru Xu

Stochastic model of tuberculosis with vaccination of newborns

In this paper we have proposed a stochastic model for studying the dynamics of tuberculosis (TB) by incorporating vaccination of newly born babies. The total population in this model is subdivided in to four c...

Authors: Getachew Teshome Tilahun, Melisew Tefera Belachew and Zinabu Gebreselassie

Generalized trapezium-type inequalities in the settings of fractal sets for functions having generalized convexity property

In the paper, we extend some previous results dealing with the Hermite–Hadamard inequalities with fractal sets and several auxiliary results that vary with local fractional derivatives introduced in the recent...

Authors: Zareen A. Khan, Saima Rashid, Rehana Ashraf, Dumitru Baleanu and Yu-Ming Chu

Bifurcation and exact solutions for the (\(2+1\))-dimensional conformable time-fractional Zoomeron equation

Authors: Zhao Li and Tianyong Han

A nonlinear generalized subdivision scheme of arbitrary degree with a tension parameter

In this paper, a nonlinear generalized subdivision scheme of arbitrary degree with a tension parameter is presented, which refines 2D point-normal pairs. The construction of the scheme is built upon the statio...

Authors: Zeze Zhang, Hongchan Zheng, Jie Zhou and Lulu Pan

Theoretical and semi-analytical results to a biological model under Atangana–Baleanu–Caputo fractional derivative

This manuscript is related to finding a solution of the SIR model under Mittag-Leffler type derivative. For the required results, we use Laplace transform together with Adomian decomposition method (LADM). The...

Authors: Anwar Zeb, Ghazala Nazir, Kamal Shah and Ebraheem Alzahrani

Optimal selection of injection doses and injection timings for insulin therapy in a limited time

In this paper, we study the injection strategies of insulin for the impulsive therapy of diabetes in a limited time. According to whether we consider the risk of hypoglycemia or not, we develop two different c...

Authors: Shouzong Liu, Ling Yu, Mingzhan Huang and Xiangyun Shi

External stability and \(H_{\infty }\) control of switching systems with delay and impulse

Authors: Jiaojiao Ren and Cong Wu

Dynamical analysis of a stochastic rumor-spreading model with Holling II functional response function and time delay

With the rapid development of information society, rumor plays an increasingly crucial part in social communication, and its spreading has a significant impact on human life. In this paper, a stochastic rumor-...

Authors: Liang’an Huo and Xiaomin Chen

The analytical interface coupling of arbitrary-order fractional nonlinear hyperbolic scalar conservation laws

In this paper, the existence and uniqueness of the interface coupling (IC) of time and spatial (TS) arbitrary-order fractional (AOF) nonlinear hyperbolic scalar conservation laws (NHSCL) are investigated. The tec...

Authors: S. M. R. Shirkhorshidi, W. A. M. Othman, M. A. Omar Awang, D. Rostamy and A. S. Shirkhorshidi

Modified differential transform method for solving linear and nonlinear pantograph type of differential and Volterra integro-differential equations with proportional delays

In this study, a hybrid technique for improving the differential transform method (DTM), namely the modified differential transform method (MDTM) expressed as a combination of the differential transform method...

Authors: Seyyedeh Roodabeh Moosavi Noori and Nasir Taghizadeh

Numerical solution of the Bagley–Torvik equation using shifted Chebyshev operational matrix

In this study, an efficient numerical scheme based on shifted Chebyshev polynomials is established to obtain numerical solutions of the Bagley–Torvik equation. We first derive the shifted Chebyshev operational...

Authors: Tianfu Ji, Jianhua Hou and Changqing Yang

Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function

We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities. Taking into consideration t...

Authors: Shu-Bo Chen, Saima Rashid, Zakia Hammouch, Muhammad Aslam Noor, Rehana Ashraf and Yu-Ming Chu

On the existence of solutions for a multi-singular pointwise defined fractional system

One of best ways for increasing our abilities in exact modeling of natural phenomena is working with a singular version of different fractional differential equations. As is well known, multi-singular equation...

Authors: Ali Mansouri, Shahram Rezapour and Mehdi Shabibi

On multi-term proportional fractional differential equations and inclusions

The aim of this paper is to study new nonlocal boundary value problems of fractional differential equations and inclusions supplemented with slit-strips integral boundary conditions. Based on the functional an...

Authors: Wafa Shammakh, Hadeel Z. Alzumi and Zahra Albarqi

New bounds for soft margin estimator via concavity of Gaussian weighting function

In the present article, we elaborate on the notion to obtain bounds for the soft margin estimator of “Identification of Patient Zero in Static and Temporal Network-Robustness and Limitations”. To achieve these...

Authors: Hidayat Ullah, Muhammad Adil Khan and Josip Pečarić

Explicit criteria for the oscillation of second-order differential equations with several sub-linear neutral coefficients

In this work, we present sufficient conditions for oscillation of all solutions of a second-order functional differential equation. We consider two special cases when ...

Authors: Shyam Sundar Santra, Tanusri Ghosh and Omar Bazighifan

Analysis and simulation of a mathematical model of tuberculosis transmission in Democratic Republic of the Congo

According to the World Health Organization reports, tuberculosis (TB) remains one of the top 10 deadly diseases of recent decades in the world. In this paper, we present the modeling, analysis and simulation o...

Authors: Selain Kasereka Kabunga, Emile F. Doungmo Goufo and Vinh Ho Tuong

On existence–uniqueness results for proportional fractional differential equations and incomplete gamma functions

In this article, we employ the lower regularized incomplete gamma functions to demonstrate the existence and uniqueness of solutions for fractional differential equations involving nonlocal fractional derivati...

Authors: Zaid Laadjal, Thabet Abdeljawad and Fahd Jarad

Identities involving 3-variable Hermite polynomials arising from umbral method

In this paper, we employ an umbral method to reformulate the 3-variable Hermite polynomials and introduce the 4-parameter 3-variable Hermite polynomials. We also obtain some new properties for these polynomial...

Authors: Nusrat Raza, Umme Zainab, Serkan Araci and Ayhan Esi

Sequence spaces derived by the triple band generalized Fibonacci difference operator

Authors: Taja Yaying, Bipan Hazarika, S. A. Mohiuddine, M. Mursaleen and Khursheed J. Ansari

On q-BFGS algorithm for unconstrained optimization problems

Variants of the Newton method are very popular for solving unconstrained optimization problems. The study on global convergence of the BFGS method has also made good progress. The q-gradient reduces to its classi...

Authors: Shashi Kant Mishra, Geetanjali Panda, Suvra Kanti Chakraborty, Mohammad Esmael Samei and Bhagwat Ram

Stochastic differential equations with singular coefficients on the straight line

Authors: Rongrong Tian, Liang Ding and Jinlong Wei

Caratheodory’s approximation for a type of Caputo fractional stochastic differential equations

The Caratheodory approximation for a type of Caputo fractional stochastic differential equations is considered. As is well known, under the Lipschitz and linear growth conditions, the existence and uniqueness ...

Authors: Zhongkai Guo, Junhao Hu and Weifeng Wang

New Hermite–Jensen–Mercer-type inequalities via k-fractional integrals

In the article, we establish serval novel Hermite–Jensen–Mercer-type inequalities for convex functions in the framework of the k-fractional conformable integrals by use of our new approaches. Our obtained results...

Authors: Saad Ihsan Butt, Muhammad Umar, Saima Rashid, Ahmet Ocak Akdemir and Yu-Ming Chu

New post quantum analogues of Ostrowski-type inequalities using new definitions of left–right \((p,q)\)-derivatives and definite integrals

Authors: Yu-Ming Chu, Muhammad Uzair Awan, Sadia Talib, Muhammad Aslam Noor and Khalida Inayat Noor

A novel fractional structure of a multi-order quantum multi-integro-differential problem

In the present research manuscript, we formulate a new generalized structure of the nonlinear Caputo fractional quantum multi-integro-differential equation in which such a multi-order structure of quantum inte...

Authors: Nguyen Duc Phuong, Fethiye Muge Sakar, Sina Etemad and Shahram Rezapour

Stationary distribution of a stochastic hybrid phytoplankton model with allelopathy

This research proposes and delves into a stochastic competitive phytoplankton model with allelopathy and regime-switching. Sufficient criteria are proffered to ensure that the model possesses a unique ergodic ...

Authors: Weiming Ji, Zhaojuan Wang and Guixin Hu

Positive solutions of a nonlinear algebraic system with sign-changing coefficient matrix

Authors: Yanping Jia, Ying Gao, Wenying Feng and Guang Zhang

Constructions of the soliton solutions to the good Boussinesq equation

The principal objective of the present paper is to manifest the exact traveling wave and numerical solutions of the good Boussinesq (GB) equation by employing He’s semiinverse process and moving mesh approache...

Authors: Mohammed Bakheet Almatrafi, Abdulghani Ragaa Alharbi and Cemil Tunç

Dynamics of the rumor-spreading model with hesitation mechanism in heterogenous networks and bilingual environment

In this paper, a novel rumor-spreading model is proposed under bilingual environment and heterogenous networks, which considers that exposures may be converted to spreaders or stiflers at a set rate. Firstly, ...

Authors: Shuai Yang, Haijun Jiang, Cheng Hu, Juan Yu and Jiarong Li

Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg–de Vries equations

This paper aims to investigate the class of fifth-order Korteweg–de Vries equations by devising suitable novel hyperbolic and exponential ansatze. The class under consideration is endowed with a time-fractiona...

Authors: Choonkil Park, R. I. Nuruddeen, Khalid K. Ali, Lawal Muhammad, M. S. Osman and Dumitru Baleanu

Vieta–Lucas polynomials for solving a fractional-order mathematical physics model

In this article, a fractional-order mathematical physics model, advection–dispersion equation (FADE), will be solved numerically through a new approximative technique. Shifted Vieta–Lucas orthogonal polynomial...

Authors: P. Agarwal and A. A. El-Sayed

Nonexistence of global solutions of fractional diffusion equation with time-space nonlocal source

Authors: Abderrazak Nabti, Ahmed Alsaedi, Mokhtar Kirane and Bashir Ahmad

Different dimensional fractional-order discrete chaotic systems based on the Caputo h-difference discrete operator: dynamics, control, and synchronization

The paper investigates control and synchronization of fractional-order maps described by the Caputo h-difference operator. At first, two new fractional maps are introduced, i.e., the Two-Dimensional Fractional-or...

Authors: Ibtissem Talbi, Adel Ouannas, Amina-Aicha Khennaoui, Abdelhak Berkane, Iqbal M. Batiha, Giuseppe Grassi and Viet-Thanh Pham

On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function

The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involv...

Authors: Kottakkaran Sooppy Nisar, Gauhar Rahman, Dumitru Baleanu, Muhammad Samraiz and Sajid Iqbal

An approximate analytical solution of the Navier–Stokes equations within Caputo operator and Elzaki transform decomposition method

In this article, a hybrid technique of Elzaki transformation and decomposition method is used to solve the Navier–Stokes equations with a Caputo fractional derivative. The numerical simulations and examples ar...

Authors: Hajira, Hassan Khan, Adnan Khan, Poom Kumam, Dumitru Baleanu and Muhammad Arif

Mean-field anticipated BSDEs driven by time-changed Lévy noises

The objective of this work is to show a new kind of mean-field anticipated backward stochastic differential equation (in short MF-ABSDE) driven by time-changed Lévy noises. We give two methods to prove the exi...

Authors: Youxin Liu and Yang Dai

A note on Nakano generalized difference sequence space

In this paper, we investigate the necessary conditions on any s-type sequence space to form an operator ideal. As a result, we show that the s-type Nakano generalized difference sequence space X fails to generate...

Authors: Awad A. Bakery and Afaf R. Abou Elmatty

Hilbert-type inequalities for time scale nabla calculus

This paper deals with the derivation of some new dynamic Hilbert-type inequalities in time scale nabla calculus. In proving the results, the basic idea is to use some algebraic inequalities, Hölder’s inequalit...

Authors: H. M. Rezk, Ghada AlNemer, H. A. Abd El-Hamid, Abdel-Haleem Abdel-Aty, Kottakkaran Sooppy Nisar and M. Zakarya

Fractional nonlinear Volterra–Fredholm integral equations involving Atangana–Baleanu fractional derivative: framelet applications

In this work, we propose a framelet method based on B-spline functions for solving nonlinear Volterra–Fredholm integro-differential equations and by involving Atangana–Baleanu fractional derivative, which can ...

Authors: Mutaz Mohammad and Alexander Trounev

A discussion on the existence of positive solutions of the boundary value problems via ψ-Hilfer fractional derivative on b-metric spaces

Authors: Hojjat Afshari and Erdal Karapınar

Existence and approximate controllability of Hilfer fractional evolution equations with almost sectorial operators

In this article, we are concerned with the existence of mild solutions and approximate controllability of Hilfer fractional evolution equations with almost sectorial operators and nonlocal conditions. The exis...

Authors: Pallavi Bedi, Anoop Kumar, Thabet Abdeljawad, Zareen A. Khan and Aziz Khan

Traveling waves in nonlocal dispersal SIR epidemic model with nonlinear incidence and distributed latent delay

This paper studies the traveling waves in a nonlocal dispersal SIR epidemic model with nonlinear incidence and distributed latent delay. It is found that the traveling waves connecting the disease-free equilib...

Authors: Weixin Wu and Zhidong Teng

Optical solitons of fractional complex Ginzburg–Landau equation with conformable, beta, and M-truncated derivatives: a comparative study

In this paper, we investigate the optical solitons of the fractional complex Ginzburg–Landau equation (CGLE) with Kerr law nonlinearity which shows various phenomena in physics like nonlinear waves, second-ord...

Authors: Amjad Hussain, Adil Jhangeer, Naseem Abbas, Ilyas Khan and El-Syed M. Sherif

On the reproduction number and the optimal control of infectious diseases in a heterogenous population

The effect of infectious diseases cannot be overemphasised. The continuing surfacing of the infectious diseases gives the stakeholders a great concern. In this paper, the nature of the spread of Ebola virus ou...

Authors: A. U. Chukwu, J. A. Akinyemi, M. O. Adeniyi and S. O. Salawu