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  1. 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

    Citation: Advances in Difference Equations 2021 2021:197

    Content type: Research

    Published on:

  2. 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

    Citation: Advances in Difference Equations 2021 2021:195

    Content type: Research

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  3. 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

    Citation: Advances in Difference Equations 2021 2021:193

    Content type: Research

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  4. 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

    Citation: Advances in Difference Equations 2021 2021:191

    Content type: Research

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  5. 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

    Citation: Advances in Difference Equations 2021 2021:188

    Content type: Research

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  6. 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

    Citation: Advances in Difference Equations 2021 2021:186

    Content type: Research

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  7. 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

    Citation: Advances in Difference Equations 2021 2021:185

    Content type: Research

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  8. 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

    Citation: Advances in Difference Equations 2021 2021:184

    Content type: Research

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  9. 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

    Citation: Advances in Difference Equations 2021 2021:183

    Content type: Research

    Published on:

  10. 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

    Citation: Advances in Difference Equations 2021 2021:181

    Content type: Research

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  11. 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

    Citation: Advances in Difference Equations 2021 2021:179

    Content type: Research

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  12. 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

    Citation: Advances in Difference Equations 2021 2021:176

    Content type: Research

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  13. 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

    Citation: Advances in Difference Equations 2021 2021:175

    Content type: Research

    Published on:

  14. 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

    Citation: Advances in Difference Equations 2021 2021:173

    Content type: Research

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  15. 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

    Citation: Advances in Difference Equations 2021 2021:171

    Content type: Research

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  16. 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

    Content type: Research

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  17. 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

    Content type: Research

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  18. 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

    Content type: Research

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  19. 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

    Content type: Research

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  20. 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

    Content type: Research

    Published on:

  21. 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

    Content type: Research

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  22. 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

    Content type: Research

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  23. 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

    Content type: Research

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  24. 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

    Content type: Research

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  25. 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

    Content type: Research

    Published on:

  26. 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

    Content type: Research

    Published on:

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Editors-in-Chief

​​​​​​​mbnk_edit Martin Bohner, Missouri University of Science and Technology, United States of America | 

Martin's SpringerNature Publications

Elena_Braverman_image_edit Elena Braverman, University of Calgary Canada | 

Elena's SpringerNature Publications

Interim Editor-in-Chief

New Content ItemSong Wang, Curtin University, Australia | 

Song Wang's SpringerNature Publications