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Theory and Modern Applications

Advances in Continuous and Discrete Models Cover Image

Articles

Page 10 of 98

  1. 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
    Citation: Advances in Difference Equations 2021 2021:210
  2. 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
    Citation: Advances in Difference Equations 2021 2021:207
  3. 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
    Citation: Advances in Difference Equations 2021 2021:204
  4. 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
    Citation: Advances in Difference Equations 2021 2021:202
  5. 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
    Citation: Advances in Difference Equations 2021 2021:201
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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

    The Correction to this article has been published in Advances in Difference Equations 2021 2021:422

  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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

Annual Journal Metrics

  • 2022 Citation Impact
    4.1 - 2-year Impact Factor
    2.9 - 5-year Impact Factor
    1.702 - SNIP (Source Normalized Impact per Paper)
    0.672 - SJR (SCImago Journal Rank)

    2023 Speed
    18 days submission to first editorial decision for all manuscripts (Median)
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