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  1. 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
    Citation: Advances in Difference Equations 2021 2021:169
  2. 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
    Citation: Advances in Difference Equations 2021 2021:167
  3. The main purpose of this paper is to use a power series summability method to study some approximation properties of Kantorovich type Szász–Mirakyan operators including Sheffer polynomials. We also establish V...

    Authors: Valdete Loku, Naim L. Braha, Toufik Mansour and M. Mursaleen
    Citation: Advances in Difference Equations 2021 2021:165
  4. In this paper, we improve the Proinov theorem by adding certain rational expressions to the definition of the corresponding contractions. After that, we prove fixed point theorems for these modified Proinov co...

    Authors: Badr Alqahtani, Sara S. Alzaid, Andreea Fulga and Antonio Francisco Roldán López de Hierro
    Citation: Advances in Difference Equations 2021 2021:164
  5. We study a conformable fractional nonlocal thermistor problem on time scales. Under an appropriate nonrestrictive condition on the resistivity function, we establish existence and uniqueness results. The proof...

    Authors: P. Agarwal, M. R. Sidi Ammi and J. Asad
    Citation: Advances in Difference Equations 2021 2021:162
  6. In the present article, we propose and analyze a new mathematical model for a predator–prey system including the following terms: a Monod–Haldane functional response (a generalized Holling type IV), a term des...

    Authors: Sekson Sirisubtawee, Nattawut Khansai and Akapak Charoenloedmongkhon
    Citation: Advances in Difference Equations 2021 2021:160
  7. In this article, we introduce the concept of orthogonal m-metric space and prove some fixed point theorems in this space. Furthermore, we obtain results that extend and improve certain comparable results in the e...

    Authors: Fahim Uddin, Choonkil Park, Khalil Javed, Muhammad Arshad and Jung Rye Lee
    Citation: Advances in Difference Equations 2021 2021:159
  8. We investigate a model of spatio-temporal spreading of human immunodeficiency virus HIV-1. The mathematical model considers the presence of various components in a human tissue, including the uninfected CD4+T cel...

    Authors: Joel Alba-Pérez and Jorge E. Macías-Díaz
    Citation: Advances in Difference Equations 2021 2021:158
  9. In this paper, the hyperchaos analysis, optimal control, and synchronization of a nonautonomous cardiac conduction system are investigated. We mainly analyze, control, and synchronize the associated hyperchaot...

    Authors: Dumitru Baleanu, Samaneh Sadat Sajjadi, Jihad H. Asad, Amin Jajarmi and Elham Estiri
    Citation: Advances in Difference Equations 2021 2021:157
  10. In this article, first, we present an example of fuzzy normed space by means of the Mittag-Leffler function. Next, we extend the concept of fuzzy normed space to matrix valued fuzzy normed space and also we in...

    Authors: Safoura Rezaei Aderyani and Reza Saadati
    Citation: Advances in Difference Equations 2021 2021:154
  11. This paper investigates singularly perturbed parabolic partial differential equations with delay in space, and the right end plane is an integral boundary condition on a rectangular domain. A small parameter i...

    Authors: Sekar Elango, Ayyadurai Tamilselvan, R. Vadivel, Nallappan Gunasekaran, Haitao Zhu, Jinde Cao and Xiaodi Li
    Citation: Advances in Difference Equations 2021 2021:151
  12. This paper will solve one of the fractional mathematical physics models, a one-dimensional time-fractional differential equation, by utilizing the second-order quarter-sweep finite-difference scheme and the pr...

    Authors: Andang Sunarto, Praveen Agarwal, Jumat Sulaiman, Jackel Vui Lung Chew and Elayaraja Aruchunan
    Citation: Advances in Difference Equations 2021 2021:147
  13. In this paper, a general class of Clifford-valued neutral high-order neural network (HNN) with D-operator on time scales is investigated. In this model, time-varying delays and continuously distributed delays are...

    Authors: Chaouki Aouiti, Imen Ben Gharbia, Jinde Cao and Xiaodi Li
    Citation: Advances in Difference Equations 2021 2021:145
  14. In this research work, a class of multi-term fractional pantograph differential equations (FODEs) subject to antiperiodic boundary conditions (APBCs) is considered. The ensuing problem involves proportional ty...

    Authors: Muhammad Bahar Ali Khan, Thabet Abdeljawad, Kamal Shah, Gohar Ali, Hasib Khan and Aziz Khan
    Citation: Advances in Difference Equations 2021 2021:143
  15. The Hirota bilinear method is employed for searching the localized waves, lump–solitons, and solutions between lumps and rogue waves for the fractional generalized Calogero–Bogoyavlensky–Schiff–Bogoyavlensky–K...

    Authors: Jalil Manafian, Onur Alp Ilhan, Ladan Avazpour and As’ad Alizadeh
    Citation: Advances in Difference Equations 2021 2021:141
  16. To investigate the influences of heterogeneity and waning immunity on measles transmission, we formulate a network model with periodic transmission rate, and theoretically examine the threshold dynamics. We nu...

    Authors: Yuyi Xue, Xiaoe Ruan and Yanni Xiao
    Citation: Advances in Difference Equations 2021 2021:138
  17. We investigate the existence of solutions for a nonlinear integral inclusion of Urysohn–Stieltjes type. As applications, we give a Chandrasekhar quadratic integral equation and a nonlinear Chandrasekhar integr...

    Authors: Ahmed El-Sayed, Shorouk Al-Issa and Yasmin Omar
    Citation: Advances in Difference Equations 2021 2021:137
  18. In this paper, we investigate the analysis of the proportional Caputo derivative that recently has been constructed. We create some useful relations between this new derivative and beta function. We discretize...

    Authors: Ali Akgül and Dumitru Baleanu
    Citation: Advances in Difference Equations 2021 2021:136
  19. Our basic purpose is to derive several existence aspects of solutions for a novel class of the fractional inclusion problem in terms of the well-defined generalized φ-Caputo and φ-Riemann–Liouville operators. The...

    Authors: Jehad Alzabut, Bashir Ahmad, Sina Etemad, Shahram Rezapour and Akbar Zada
    Citation: Advances in Difference Equations 2021 2021:135
  20. A meta-model of diffusively coupled Lotka–Volterra systems used to model various biomedical phenomena is considered in this paper. Necessary and sufficient conditions for the existence of nth order solitary solut...

    Authors: Inga Timofejeva, Tadas Telksnys, Zenonas Navickas, Romas Marcinkevicius and Minvydas Ragulskis
    Citation: Advances in Difference Equations 2021 2021:133
  21. Hand, foot, and mouth disease (HFMD) is a contagious viral illness that commonly affects infants and children. In some areas with high incidence of this disease, the relevant departments often use some strateg...

    Authors: Lei Shi, Hongyong Zhao and Daiyong Wu
    Citation: Advances in Difference Equations 2021 2021:130
  22. The main aim presented in this article is to provide an efficient transferred Legendre pseudospectral method for solving pantograph delay differential equations. At the first step, we transform the problem int...

    Authors: H. Jafari, M. Mahmoudi and M. H. Noori Skandari
    Citation: Advances in Difference Equations 2021 2021:129
  23. In this paper, the authors present a strategy based on fixed point iterative methods to solve a nonlinear dynamical problem in a form of Green’s function with boundary value problems. First, the authors constr...

    Authors: Khanitin Muangchoo-in, Kanokwan Sitthithakerngkiet, Parinya Sa-Ngiamsunthorn and Poom Kumam
    Citation: Advances in Difference Equations 2021 2021:128
  24. This paper deals with the finite time stability and control for a class of uncertain variable fractional order nonlinear systems. The variable fractional Lyapunov direct method is developed to provide the basi...

    Authors: Jingfei Jiang, Hongkui Li, Kun Zhao, Dengqing Cao and Juan L. G. Guirao
    Citation: Advances in Difference Equations 2021 2021:127
  25. The fractional Hopfield neural network (HNN) model is studied here analyzing its symmetry, uniqueness of the solution, dissipativity, fixed points etc. A Lyapunov and bifurcation analysis of the system is done...

    Authors: Emad E. Mahmoud, Lone Seth Jahanzaib, Pushali Trikha and Omar A. Almaghrabi
    Citation: Advances in Difference Equations 2021 2021:126
  26. In this paper, we develop an iterative algorithm whose architecture comprises a modified version of the forward–backward splitting algorithm and the hybrid shrinking projection algorithm. We provide theoretica...

    Authors: Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan, Parinya Sa Ngiamsunthorn and Attapol Kaewkhao
    Citation: Advances in Difference Equations 2021 2021:124

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