Articles

Existence of radial solutions for a \(p(x)\)-Laplacian Dirichlet problem

Authors: Maria Alessandra Ragusa, Abdolrahman Razani and Farzaneh Safari

Investigation of the neutral fractional differential inclusions of Katugampola-type involving both retarded and advanced arguments via Kuratowski MNC technique

A class of the boundary value problem is investigated in this research work to prove the existence of solutions for the neutral fractional differential inclusions of Katugampola fractional derivative which inv...

Authors: Sina Etemad, Mohammed Said Souid, Benoumran Telli, Mohammed K. A. Kaabar and Shahram Rezapour

Difference monotonicity analysis on discrete fractional operators with discrete generalized Mittag-Leffler kernels

Authors: Pshtiwan Othman Mohammed, Faraidun Kadir Hamasalh and Thabet Abdeljawad

Rich dynamics of a Filippov avian-only influenza model with a nonsmooth separation line

Depopulation of birds has been authenticated to be an effective measure in controlling avian influenza transmission. In this work, we establish a Filippov avian-only model incorporating a threshold policy cont...

Authors: Youping Yang and Jingwen Wang

Application of triple compound combination anti-synchronization among parallel fractional snap systems & electronic circuit implementation

In this article we examine the dynamical properties of the fractional version of the snap system by means of chaotic attractor, existence, and uniqueness of the solution, symmetry, dissipativity, stagnation po...

Authors: Emad E. Mahmoud, Pushali Trikha, Lone Seth Jahanzaib, M. Higazy and Monagi H. Alkinani

A collocation method based on cubic trigonometric B-splines for the numerical simulation of the time-fractional diffusion equation

Fractional differential equations sufficiently depict the nature in view of the symmetry properties, which portray physical and biological models. In this paper, we present a proficient collocation method base...

Authors: Muhammad Yaseen, Muhammad Abbas and Muhammad Bilal Riaz

On a nonlocal problem for parabolic equation with time dependent coefficients

This paper is devoted to the study of existence and uniqueness of a mild solution for a parabolic equation with conformable derivative. The nonlocal problem for parabolic equations appears in many various appl...

Authors: Nguyen Duc Phuong, Ho Duy Binh, Le Dinh Long and Dang Van Yen

Global exponential stability of Clifford-valued neural networks with time-varying delays and impulsive effects

In this study, we investigate the global exponential stability of Clifford-valued neural network (NN) models with impulsive effects and time-varying delays. By taking impulsive effects into consideration, we f...

Authors: G. Rajchakit, R. Sriraman, N. Boonsatit, P. Hammachukiattikul, C. P. Lim and P. Agarwal

A regression-based Monte Carlo method to solve two-dimensional forward backward stochastic differential equations

The purpose of this paper is to investigate the numerical solutions to two-dimensional forward backward stochastic differential equations(FBSDEs). Based on the Fourier cos-cos transform, the approximations of ...

Authors: Xiaofei Li, Yi Wu, Quanxin Zhu, Songbo Hu and Chuan Qin

Multidimensional sampling theorems for multivariate discrete transforms

This paper is devoted to the establishment of two-dimensional sampling theorems for discrete transforms, whose kernels arise from second order partial difference equations. We define a discrete type partial di...

Authors: H. A. Hassan

On a class of solvable difference equations generalizing an iteration process for calculating reciprocals

Authors: Stevo Stević

On a time fractional diffusion with nonlocal in time conditions

In this work, we consider a fractional diffusion equation with nonlocal integral condition. We give a form of the mild solution under the expression of Fourier series which contains some Mittag-Leffler functio...

Authors: Nguyen Hoang Tuan, Nguyen Anh Triet, Nguyen Hoang Luc and Nguyen Duc Phuong

A note on two-term exponential sum and the reciprocal of the quartic Gauss sums

The main purpose of this article is by using the properties of the fourth character modulo a prime p and the analytic methods to study the calculating problem of a certain hybrid power mean involving the two-term...

Authors: Wenpeng Zhang and Xingxing Lv

∗-fuzzy measure model for COVID-19 disease

We introduce a mathematical model, namely, ∗-fuzzy measure model for COVID-19 disease and consider some properties of ∗-fuzzy measure such as Lebesque–Radon–Nikodym theorem.

Authors: Abbas Ghaffari and Reza Saadati

On the qualitative analysis of the fractional boundary value problem describing thermostat control model via ψ-Hilfer fractional operator

In this research study, we are concerned with the existence and stability of solutions of a boundary value problem (BVP) of the fractional thermostat control model with ψ-Hilfer fractional operator. We verify the...

Authors: Chatthai Thaiprayoon, Weerawat Sudsutad, Jehad Alzabut, Sina Etemad and Shahram Rezapour

Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate

In this paper, a stochastic SIRV epidemic model with general nonlinear incidence and vaccination is investigated. The value of our study lies in two aspects. Mathematically, with the help of Lyapunov function ...

Authors: Ramziya Rifhat, Zhidong Teng and Chunxia Wang

Some generalized Hermite–Hadamard–Fejér inequality for convex functions

In this paper, we have established some generalized inequalities of Hermite–Hadamard–Fejér type for generalized integrals. The results obtained are applied for fractional integrals of various type and therefor...

Authors: Miguel Vivas-Cortez, Péter Kórus and Juan E. Nápoles Valdés

Existence and uniqueness of nonlocal boundary conditions for Hilfer–Hadamard-type fractional differential equations

In this paper, we use some fixed point theorems in Banach space for studying the existence and uniqueness results for Hilfer–Hadamard-type fractional differential equations

Authors: Ahmad Y. A. Salamooni and D. D. Pawar

On solutions of fractional multi-term sequential problems via some special categories of functions and (AEP)-property

The main intention of this article is that new techniques of existence theory are used to derive some required criteria pertinent to a given fractional multi-term problem and its inclusion version. In such an ...

Authors: Dumitru Baleanu, Muhammad Qamar Iqbal, Azhar Hussain, Sina Etemad and Shahram Rezapour

Existence of solutions for fourth-order nonlinear boundary value problems

In this paper, we discuss the existence and approximation of solutions for a fourth-order nonlinear boundary value problem by using a quasilinearization technique. In the presence of a lower solution α and an upp...

Authors: Mingzhu Huang

A new fourth-order integrable nonlinear equation: breather, rogue waves, other lump interaction phenomena, and conservation laws

In this study, we investigate a new fourth-order integrable nonlinear equation. Firstly, by means of the efficient Hirota bilinear approach, we establish novel types of solutions which include breather, rogue,...

Authors: Dumitru Baleanu, Ali Saleh Alshomrani and Malik Zaka Ullah

Note on constructing a family of solvable sine-type difference equations

We obtain a family of first order sine-type difference equations solvable in closed form in a constructive way, and we present a general solution to each of the equations.

Authors: Ahmed El-Sayed Ahmed, Bratislav Iričanin, Witold Kosmala, Stevo Stević and Zdeněk Šmarda

An efficient numerical approach for solving two-point fractional order nonlinear boundary value problems with Robin boundary conditions

This article proposes new strategies for solving two-point Fractional order Nonlinear Boundary Value Problems (FNBVPs) with Robin Boundary Conditions (RBCs). In the new numerical schemes, a two-point FNBVP is ...

Authors: Hyunju Kim, Junseo Lee and Bongsoo Jang

Three solutions to Dirichlet problems for second-order self-adjoint difference equations involving p-Laplacian

This paper derives several sufficient conditions for the existence of three solutions to the Dirichlet problem for a second-order self-adjoint difference equation involving p-Laplacian through the critical point ...

Authors: Feng Xiong and Zhan Zhou

A time-delay COVID-19 propagation model considering supply chain transmission and hierarchical quarantine rate

In this manuscript, we investigate a novel Susceptible–Exposed–Infected–Quarantined–Recovered (SEIQR) COVID-19 propagation model with two delays, and we also consider supply chain transmission and hierarchical...

Authors: Fangfang Yang and Zizhen Zhang

Asymptotic properties of a population model with Allee effects in random environments

In this research, we probe the influences of two common types of stochastic noises in the environment, namely, white noise and telephone noise, and put forward a stochastic differential equation population mod...

Authors: Famei Zheng and Guixin Hu

Dynamics of a stochastic population model with predation effects in polluted environments

The present paper puts forward and probes a stochastic single-species model with predation effect in a polluted environment. We propose a threshold between extermination and weak persistence of the species and...

Authors: Guanghai Song

Shifted Jacobi polynomials for nonlinear singular variable-order time fractional Emden–Fowler equation generated by derivative with non-singular kernel

In this work, a nonlinear singular variable-order fractional Emden–Fowler equation involved with derivative with non-singular kernel (in the Atangana–Baleanu–Caputo type) is introduced and a computational meth...

Authors: M. H. Heydari, Z. Avazzadeh and A. Atangana

Note on norm of an m-linear integral-type operator between weighted-type spaces

We find a necessary and sufficient condition for the boundedness of an m-linear integral-type operator between weighted-type spaces of functions, and calculate norm of the operator, complementing some results by ...

Authors: Stevo Stević

Lyapunov stability analysis for nonlinear delay systems under random effects and stochastic perturbations with applications in finance and ecology

This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms. We focus on the study of different types of ...

Authors: Abdulwahab Almutairi, H. El-Metwally, M. A. Sohaly and I. M. Elbaz

Caputo SIR model for COVID-19 under optimized fractional order

Everyone is talking about coronavirus from the last couple of months due to its exponential spread throughout the globe. Lives have become paralyzed, and as many as 180 countries have been so far affected with...

Authors: Ali S. Alshomrani, Malik Z. Ullah and Dumitru Baleanu

Theoretical and numerical analysis for transmission dynamics of COVID-19 mathematical model involving Caputo–Fabrizio derivative

This manuscript is devoted to a study of the existence and uniqueness of solutions to a mathematical model addressing the transmission dynamics of the coronavirus-19 infectious disease (COVID-19). The mentione...

Authors: Sabri T. M. Thabet, Mohammed S. Abdo and Kamal Shah

A predator–prey model involving variable-order fractional differential equations with Mittag-Leffler kernel

This paper is about to formulate a design of predator–prey model with constant and time fractional variable order. The predator and prey act as agents in an ecosystem in this simulation. We focus on a time fra...

Authors: Aziz Khan, Hashim M. Alshehri, J. F. Gómez-Aguilar, Zareen A. Khan and G. Fernández-Anaya

Spatiotemporal dynamics for a diffusive mussel–algae model near a Hopf bifurcation point

In this paper, the Hopf bifurcation and Turing instability for a mussel–algae model are investigated. Through analysis of the corresponding kinetic system, the existence and stability conditions of the equilib...

Authors: Shihong Zhong, Xuehan Cheng and Biao Liu

A hepatitis stochastic epidemic model with acute and chronic stages

The article is based on the study of hepatitis transmission dynamics using a stochastic epidemic model. We discuss the stochastic perturbations of our proposed model by considering the effect of environmental ...

Authors: Amir Khan, Ghulam Hussain, Abdullahi Yusuf, Auwalu Hamisu Usman and Usa Wannasingha Humphries

A divided differences based medium to analyze smoothness of the binary bivariate refinement schemes

Authors: Rabia Hameed, Ghulam Mustafa, Dumitru Baleanu and Yu-Ming Chu

A finite point algorithm for soil water-salt movement equation

In this paper, we propose the meshless finite point method for solving a type of fluid flow problem. The moving least square function is combined with the collocation method to treat nonlinear one- and two-dim...

Authors: Fenhong Li, Gang Hu, Thabet Abdeljawad and Muhammad Abbas

Oscillatory behavior of nonlinear Hilfer fractional difference equations

Authors: Tuğba Yalçın Uzun

Research on Sturm–Liouville boundary value problems of fractional p-Laplacian equation

Authors: Tingting Xue, Fanliang Kong and Long Zhang

Modeling and analysis of taeniasis and cysticercosis transmission dynamics in humans, pigs and cattle

Taeniasis and cysticercosis pose a significant challenge to food safety and public health. Cysticercosis reduces the market value for pigs and cattle by making pork and beef unsafe for consumption. In this pap...

Authors: Joshua A. Mwasunda, Jacob I. Irunde, Damian Kajunguri and Dmitry Kuznetsov

Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function

A new family of p-Bernoulli numbers and polynomials was introduced by Rahmani (J. Number Theory 157:350–366, 2015) with the help of the Gauss hypergeometric function. Motivated by that paper and in the light of t...

Authors: Taekyun Kim, Dae San Kim, Lee-Chae Jang, Hyunseok Lee and Hanyoung Kim

Analysis of Atangana–Baleanu fractional-order SEAIR epidemic model with optimal control

We consider a SEAIR epidemic model with Atangana–Baleanu fractional-order derivative. We approximate the solution of the model using the numerical scheme developed by Toufic and Atangana. The numerical simulat...

Authors: Chernet Tuge Deressa and Gemechis File Duressa

Computation of solutions to linear difference and differential equations with a prescribed asymptotic behavior

Linear differential equations usually arise from mathematical modeling of physical experiments and real-world problems. In most applications these equations are linked to initial or boundary conditions. But so...

Authors: Hendrik Baumann and Thomas Hanschke

Qualitative analysis of a two-group SVIR epidemic model with random effect

In this paper, we investigate the dynamical behavior of a two-group SVIR epidemic model with random effect. Firstly, the two-group SVIR epidemic model with random perturbation of natural death rate is establis...

Authors: Kaiyan Zhao and Shaojuan Ma

A Kirchhoff-type problem involving concave-convex nonlinearities

A Kirchhoff-type problem with concave-convex nonlinearities is studied. By constrained variational methods on a Nehari manifold, we prove that this problem has a sign-changing solution with least energy. Moreo...

Authors: Yuan Gao, Lishan Liu, Shixia Luan and Yonghong Wu

Anti-periodic behavior for quaternion-valued delayed cellular neural networks

In this manuscript, quaternion-valued delayed cellular neural networks are studied. Applying the continuation theorem of coincidence degree theory, inequality techniques and a Lyapunov function approach, a new...

Authors: Zhenhua Duan and Changjin Xu

Effects of masks on the transmission of infectious diseases

In the present paper, based on the conditions that asymptomatic virus carriers are contagious and all symptomatic infected individuals wear masks, we study the impact of wearing masks in the susceptible and th...

Authors: Lili Han, Qiuhui Pan, Baolin Kang and Mingfeng He

Some fractional Hermite–Hadamard-type integral inequalities with s-\((\alpha,m)\)-convex functions and their applications

Authors: R. N. Liu and Run Xu

Fractional unit-root tests allowing for a fractional frequency flexible Fourier form trend: predictability of Covid-19

In this study we propose a fractional frequency flexible Fourier form fractionally integrated ADF unit-root test, which combines the fractional integration and nonlinear trend as a form of the Fourier function...

Authors: Tolga Omay and Dumitru Baleanu

Dynamic behaviors for inertial neural networks with reaction-diffusion terms and distributed delays

A class of inertial neural networks (INNs) with reaction-diffusion terms and distributed delays is studied. The existence and uniqueness of the equilibrium point for the considered system is obtained by topolo...

Authors: Famei Zheng