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  1. This paper is concerned with the existence and uniqueness of solutions for a coupled system of Liouville–Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions...

    Authors: Ahmed Alsaedi, Amjad F. Albideewi, Sotiris K. Ntouyas and Bashir Ahmad

    Citation: Advances in Difference Equations 2021 2021:19

    Content type: Research

    Published on:

  2. As is well known the novel coronavirus (COVID-19) is a zoonotic virus and our model is concerned with the effect of the zoonotic source of the coronavirus during the outbreak in China. We present a SEIS comple...

    Authors: H. A. A. El-Saka, I. Obaya and H. N. Agiza

    Citation: Advances in Difference Equations 2021 2021:5

    Content type: Research

    Published on:

  3. In this paper, a stabilized numerical method with high accuracy is proposed to solve time-fractional singularly perturbed convection-diffusion equation with variable coefficients. The tailored finite point met...

    Authors: Xiaomin Liu, Muhammad Abbas, Honghong Yang, Xinqiang Qin and Tahir Nazir

    Citation: Advances in Difference Equations 2021 2021:4

    Content type: Research

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  4. In this paper, we present some inequalities for Csiszár f-divergence between two probability measures on time scale. These results extend some known results in the literature and offer new results in h-discrete c...

    Authors: Iqrar Ansari, Khuram Ali Khan, Ammara Nosheen, Ðilda Pečarić and Josip Pečarić

    Citation: Advances in Difference Equations 2020 2020:698

    Content type: Research

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  5. We consider a system of fractional-order differential equations to analyze breast cancer growth in the immune-chemotherapeutic treatment process under some control parameters: ketogenic diet, immune booster, a...

    Authors: Ali Yousef, Fatma Bozkurt and Thabet Abdeljawad

    Citation: Advances in Difference Equations 2020 2020:696

    Content type: Research

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  6. The present paper deals with a new different generalization of the Mittag-Leffler function through q-calculus. We then investigate its remarkable properties like convergence, recurrence relation, integral represe...

    Authors: Raghib Nadeem, Talha Usman, Kottakkaran Sooppy Nisar and Thabet Abdeljawad

    Citation: Advances in Difference Equations 2020 2020:695

    Content type: Research

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  7. In this article, the existence and uniqueness of solutions for a multi-point fractional boundary value problem involving two different left and right fractional derivatives with p-Laplace operator is studied. A n...

    Authors: Shuqi Wang and Zhanbing Bai

    Citation: Advances in Difference Equations 2020 2020:694

    Content type: Research

    Published on:

  8. This study aims to use the fractional Fourier transform for analyzing various types of Hyers–Ulam stability pertaining to the linear fractional order differential equation with Atangana and Baleanu fractional ...

    Authors: Porpattama Hammachukiattikul, Arusamy Mohanapriya, Anumanthappa Ganesh, Grienggrai Rajchakit, Vediyappan Govindan, Nallappan Gunasekaran and Chee Peng Lim

    Citation: Advances in Difference Equations 2020 2020:691

    Content type: Research

    Published on:

  9. In this paper, we give two Ramanujan-type circular summation formulas by applying the way of elliptic functions and the properties of theta functions. As applications, we obtain the corresponding imaginary tra...

    Authors: Ji-Ke Ge and Qiu-Ming Luo

    Citation: Advances in Difference Equations 2020 2020:690

    Content type: Research

    Published on:

  10. In this paper, we establish a partially truncated Euler–Maruyama scheme for highly nonlinear and nonautonomous neutral stochastic differential delay equations with Markovian switching. We investigate the stron...

    Authors: Shuaibin Gao and Junhao Hu

    Citation: Advances in Difference Equations 2020 2020:688

    Content type: Research

    Published on:

  11. In this paper, we study a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage. For the deterministic model, we give the basic reproduction number ...

    Authors: Xiaodong Wang, Chunxia Wang and Kai Wang

    Citation: Advances in Difference Equations 2020 2020:685

    Content type: Research

    Published on:

  12. Recently, various forms of extended beta function have been proposed and presented by many researchers. The principal goal of this paper is to present another expansion of beta function using Appell series and...

    Authors: Ankita Chandola, Rupakshi Mishra Pandey, Ritu Agarwal and Sunil Dutt Purohit

    Citation: Advances in Difference Equations 2020 2020:684

    Content type: Research

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  13. The novel coronavirus (SARS-CoV-2), or COVID-19, has emerged and spread at fast speed globally; the disease has become an unprecedented threat to public health worldwide. It is one of the greatest public healt...

    Authors: Isaac Owusu-Mensah, Lanre Akinyemi, Bismark Oduro and Olaniyi S. Iyiola

    Citation: Advances in Difference Equations 2020 2020:683

    Content type: Research

    Published on:

  14. In this research article, we turn to studying the existence and different types of stability such as generalized Ulam–Hyers stability and generalized Ulam–Hyers–Rassias stability of solutions for a new modelin...

    Authors: Salim Ben Chikh, Abdelkader Amara, Sina Etemad and Shahram Rezapour

    Citation: Advances in Difference Equations 2020 2020:680

    Content type: Research

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  15. In this effort, the analytic solution of a class of algebraic Briot–Bouquet differential equations (ABBDE) in the open unit disk is investigated by making use of a major theory. The class is presented by the f...

    Authors: Rabha W. Ibrahim and Dumitru Baleanu

    Citation: Advances in Difference Equations 2020 2020:678

    Content type: Research

    Published on:

  16. A disastrous coronavirus, which infects a normal person through droplets of infected person, has a route that is usually by mouth, eyes, nose or hands. These contact routes make it very dangerous as no one can...

    Authors: Zizhen Zhang, Anwar Zeb, Ebraheem Alzahrani and Sohail Iqbal

    Citation: Advances in Difference Equations 2020 2020:675

    Content type: Research

    Published on:

  17. In this paper, a fractional-order model of a financial risk dynamical system is proposed and the complex behavior of such a system is presented. The basic dynamical behavior of this financial risk dynamic syst...

    Authors: Sukono, Aceng Sambas, Shaobo He, Heng Liu, Sundarapandian Vaidyanathan, Yuyun Hidayat and Jumadil Saputra

    Citation: Advances in Difference Equations 2020 2020:674

    Content type: Research

    Published on:

  18. In this paper, we introduce the concept of coupled type and cyclic coupled type fuzzy cone contraction mappings in fuzzy cone metric spaces. We establish some coupled fixed point results without the mixed mono...

    Authors: Gui-Xiu Chen, Shamoona Jabeen, Saif Ur Rehman, Ahmed Mostafa Khalil, Fatima Abbas, Arzoo Kanwal and Hayat Ullah

    Citation: Advances in Difference Equations 2020 2020:671

    Content type: Research

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  19. In this paper we develop a stochastic mathematical model of cholera disease dynamics by considering direct contact transmission pathway. The model considers four compartments, namely susceptible humans, infect...

    Authors: Getachew Teshome Tilahun, Woldegebriel Assefa Woldegerima and Aychew Wondifraw

    Citation: Advances in Difference Equations 2020 2020:670

    Content type: Research

    Published on:

  20. In this paper, stationary distribution of stochastic differential equations (SDEs) with Markovian switching is approximated by numerical solutions generated by the stochastic θ method. We prove the existence and ...

    Authors: Yanan Jiang, Liangjian Hu and Jianqiu Lu

    Citation: Advances in Difference Equations 2020 2020:667

    Content type: Research

    Published on:

  21. In this paper, we introduce a new class of convex functions, so-called n-polynomial p-convex functions. We discuss some algebraic properties and present Hermite–Hadamard type inequalities for this generalization....

    Authors: Choonkil Park, Yu-Ming Chu, Muhammad Shoaib Saleem, Nazia Jahangir and Nasir Rehman

    Citation: Advances in Difference Equations 2020 2020:666

    Content type: Research

    Published on:

  22. 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

    Citation: Advances in Difference Equations 2020 2020:663

    Content type: Research

    Published on:

  23. 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

    Citation: Advances in Difference Equations 2020 2020:661

    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

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