Skip to main content

Theory and Modern Applications

Advances in Continuous and Discrete Models Cover Image

Articles

Page 4 of 98

  1. A bacteriophage (in short, phage) is a virus that can infect and replicate within bacteria. Assuming that uninfected and infected bacteria are capable of reproducing with logistic law, we investigate a model o...

    Authors: Xiaoping Li, Rong Huang and Minyuan He
    Citation: Advances in Difference Equations 2021 2021:488
  2. The research presents a qualitative investigation of a fractional-order consumer-resource system with the hunting cooperation interaction functional and an infection developed in the resources population. The ...

    Authors: Abdelheq Mezouaghi, Abdelkader Benali, Sunil Kumar, Salih Djilali, Anwar Zeb and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:487
  3. Through the Lie symmetry analysis method, the axisymmetric, incompressible, and inviscid fluid is studied. The governing equations that describe the flow are the Euler equations. Under intensive observation, t...

    Authors: R. Sadat, Praveen Agarwal, R. Saleh and Mohamed R. Ali
    Citation: Advances in Difference Equations 2021 2021:486
  4. The purpose of this paper is to consider some F-contraction mappings in a dualistic partial metric space and to provide sufficient related conditions for the existence of a fixed point. The obtained results are e...

    Authors: Muhammad Nazam, Hassen Aydi, Choonkil Park, Muhammad Arshad, Ekrem Savas and Dong Yun Shin
    Citation: Advances in Difference Equations 2021 2021:485
  5. The approximate controllability of second-order integro-differential evolution control systems using resolvent operators is the focus of this work. We analyze approximate controllability outcomes by referring ...

    Authors: Velusamy Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar, Wasim Jamshed and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:484
  6. In this paper, we investigate the problem of combating terrorism by the government, which is one of the most serious problems that direct governments and countries. We formulate the problem and use the Nash ap...

    Authors: Abd El-Monem A. Megahed
    Citation: Advances in Difference Equations 2021 2021:483
  7. In this paper, we propose the conditions on which a class of boundary value problems, presented by fractional q-differential equations, is well-posed. First, under the suitable conditions, we will prove the exist...

    Authors: Mohammad Esmael Samei, Ahmad Ahmadi, A. George Maria Selvam, Jehad Alzabut and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:482
  8. In this article, we construct a family of iterative methods for finding a single root of nonlinear equation and then generalize this family of iterative methods for determining all roots of nonlinear equations...

    Authors: Mudassir Shams, Naila Rafiq, Nasreen Kausar, Praveen Agarwal, Choonkil Park and Nazir Ahmad Mir
    Citation: Advances in Difference Equations 2021 2021:480
  9. The main aim of the work is to present a general class of two time scales discrete-time epidemic models. In the proposed framework the disease dynamics is considered to act on a slower time scale than a second...

    Authors: Rafael Bravo de la Parra and Luis Sanz-Lorenzo
    Citation: Advances in Difference Equations 2021 2021:478
  10. This paper discusses different types of Ulam stability of first-order nonlinear Volterra delay integro-differential equations with impulses. Such types of equations allow the presence of two kinds of memory ef...

    Authors: D. A. Refaai, M. M. A. El-Sheikh, Gamal A. F. Ismail, Bahaaeldin Abdalla and Thabet Abdeljawad
    Citation: Advances in Difference Equations 2021 2021:477
  11. In this paper, we study the uniqueness and existence of the solution of a non-autonomous and nonsingular delay difference equation using the well-known principle of contraction from fixed point theory. Further...

    Authors: Gul Rahmat, Atta Ullah, Aziz Ur Rahman, Muhammad Sarwar, Thabet Abdeljawad and Aiman Mukheimer
    Citation: Advances in Difference Equations 2021 2021:474
  12. In this study, we discuss a cancer model considering discrete time-delay in tumor-immune interaction and stimulation processes. This study aims to analyze and observe the dynamics of the model along with varia...

    Authors: Kaushik Dehingia, Hemanta Kumar Sarmah, Yamen Alharbi and Kamyar Hosseini
    Citation: Advances in Difference Equations 2021 2021:473
  13. In this paper, we establish certain new subclasses of meromorphic harmonic functions using the principles of q-derivative operator. We obtain new criteria of sense preserving and univalency. We also address other...

    Authors: Neelam Khan, H. M. Srivastava, Ayesha Rafiq, Muhammad Arif and Sama Arjika
    Citation: Advances in Difference Equations 2021 2021:471
  14. In this paper, the problem of finding the source function for the Rayleigh–Stokes equation is considered. According to Hadamard’s definition, the sought solution of this problem is both unstable and independen...

    Authors: Phuong Nguyen Duc, Ho Duy Binh, Le Dinh Long and Ho Thi Kim Van
    Citation: Advances in Difference Equations 2021 2021:470
  15. This paper deals with the generalized Bagley–Torvik equation based on the concept of the Caputo–Fabrizio fractional derivative using a modified reproducing kernel Hilbert space treatment. The generalized Bagle...

    Authors: Shatha Hasan, Nadir Djeddi, Mohammed Al-Smadi, Shrideh Al-Omari, Shaher Momani and Andreea Fulga
    Citation: Advances in Difference Equations 2021 2021:469
  16. Pneumonia is a highly transmitted disease in children. According to the World Health Organization (WHO), the most affected regions include South Asia and sub-Saharan Africa. 15% deaths of children are due to p...

    Authors: Muhammad Naveed, Dumitru Baleanu, Ali Raza, Muhammad Rafiq, Atif Hassan Soori and Muhammad Mohsin
    Citation: Advances in Difference Equations 2021 2021:468
  17. The goal of this study is to propose the existence results for the Sobolev-type Hilfer fractional integro-differential systems with infinite delay. We intend to implement the outcomes and realities of fraction...

    Authors: K. Kavitha, Kottakkaran Sooppy Nisar, Anurag Shukla, Velusamy Vijayakumar and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:467
  18. In this work, we study a q-differential inclusion with doubled integral boundary conditions under the Caputo derivative. To achieve the desired result, we use the endpoint property introduced by Amini-Harandi and...

    Authors: Mehdi Shabibi, Mohammad Esmael Samei, Mehran Ghaderi and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:466
  19. A highly efficient new three-step derivative-free family of numerical iterative schemes for estimating all roots of polynomial equations is presented. Convergence analysis proved that the proposed simultaneous...

    Authors: Mudassir Shams, Naila Rafiq, Nasreen Kausar, Praveen Agarwal, Choonkil Park and Nazir Ahmad Mir
    Citation: Advances in Difference Equations 2021 2021:465
  20. The central purpose of this effort is to investigate analytic and geometric properties of a class of normalized analytic functions in the open unit disk involving Bernoulli’s formula. As a consequence, some so...

    Authors: Rabha W. Ibrahim, Ibtisam Aldawish and Dumitru Baleanu
    Citation: Advances in Difference Equations 2021 2021:463
  21. The purpose of this paper is to provide sufficient conditions for the local and global existence of solutions for the general nonlinear distributed-order fractional differential equations in the time domain. A...

    Authors: Tahereh Eftekhari, Jalil Rashidinia and Khosrow Maleknejad
    Citation: Advances in Difference Equations 2021 2021:461
  22. Developable surfaces have a vital part in geometric modeling, architectural design, and material manufacturing. Developable Bézier surfaces are the important tools in the construction of developable surfaces, ...

    Authors: Sidra Maqsood, Muhammad Abbas, Kenjiro T. Miura, Abdul Majeed, Gang Hu and Tahir Nazir
    Citation: Advances in Difference Equations 2021 2021:459
  23. In this paper, we introduce a new structure of the generalized multi-point thermostat control model motivated by its standard model. By presenting integral solution of this boundary problem, the existence prop...

    Authors: Sina Etemad, Brahim Tellab, Chernet Tuge Deressa, Jehad Alzabut, Yongkun Li and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:458
  24. In this paper, we formulate an SVITR deterministic model and extend it to a stochastic model by introducing intensity of stochastic factors and Brownian motion. Our basic qualitative analysis of both models inclu...

    Authors: Aychew Wondyfraw Tesfaye and Tesfaye Sama Satana
    Citation: Advances in Difference Equations 2021 2021:457
  25. In our manuscript, we extend the controllability outcomes given by Bashirov (Math. Methods Appl. Sci. 44(9):7455–7462, 2021) for a family of second-order semilinear control system by formulating a sequence of pie...

    Authors: Urvashi Arora, V. Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar, Shahram Rezapour and Wasim Jamshed
    Citation: Advances in Difference Equations 2021 2021:455
  26. In this work, we consider a generalized quantum fractional Sturm–Liouville–Langevin difference problem with terminal boundary conditions. The relevant results rely on Mönch’s fixed point theorem along with a t...

    Authors: Abdelatif Boutiara, Maamar Benbachir, Sina Etemad and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:454
  27. For finding a common fixed point of a finite family of G-nonexpansive mappings, we implement a new parallel algorithm based on the Ishikawa iteration process with the inertial technique. We obtain the weak conver...

    Authors: Phakdi Charoensawan, Damrongsak Yambangwai, Watcharaporn Cholamjiak and Raweerote Suparatulatorn
    Citation: Advances in Difference Equations 2021 2021:453
  28. In this paper, for the first time the inverse problem of reconstructing the time-dependent potential (TDP) and displacement distribution in the hyperbolic problem with periodic boundary conditions (BCs) and no...

    Authors: M. J. Huntul, Muhammad Abbas and Dumitru Baleanu
    Citation: Advances in Difference Equations 2021 2021:452
  29. Infection of hepatitis B virus (HBV) is a global health problem. We provide the study about hepatitis B virus dynamics that can be controlled by education campaign (awareness), vaccination, and treatment. Init...

    Authors: Inam Zada, Muhammad Naeem Jan, Nigar Ali, Dalal Alrowail, Kottakkaran Sooppy Nisar and Gul Zaman
    Citation: Advances in Difference Equations 2021 2021:451
  30. Some complicated events can be modeled by systems of differential equations. On the other hand, inclusion systems can describe complex phenomena having some shocks better than the system of differential equati...

    Authors: Seher Melike Aydogan, Fethiye Muge Sakar, Mostafa Fatehi, Shahram Rezapour and Hashem Parvaneh Masiha
    Citation: Advances in Difference Equations 2021 2021:449
  31. The aim of this paper is to investigate the interpolative contractions involving rational forms in the framework of b-metric spaces. We prove the existence of a fixed point of such a mapping with different combin...

    Authors: Andreea Fulga
    Citation: Advances in Difference Equations 2021 2021:448
  32. In the work (Bouaouid et al. in Adv. Differ. Equ. 2019:21, 2019), the authors have used the Krasnoselskii fixed point theorem for showing the existence of mild solutions of an abstract class of conformable fracti...

    Authors: Mustapha Atraoui and Mohamed Bouaouid
    Citation: Advances in Difference Equations 2021 2021:447
  33. In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping and general source terms. According to some suitable hypothesis, we study the blow-up of solutions. This is the ...

    Authors: Salah Boulaaras, Abdelbaki Choucha, Praveen Agarwal, Mohamed Abdalla and Sahar Ahmed Idris
    Citation: Advances in Difference Equations 2021 2021:446
  34. The main target of this paper is to study a problem of recovering a spherically symmetric domain with fractional derivative from observed data of nonlocal type. This problem can be established as a new boundar...

    Authors: Le Dinh Long, Ho Thi Kim Van, Ho Duy Binh and Reza Saadati
    Citation: Advances in Difference Equations 2021 2021:445
  35. A memristor is naturally a nonlinear and at the same time memory element that may substitute resistors for next-generation nonlinear computational circuits that can show complex behaviors including chaos. A fo...

    Authors: Chernet Tuge Deressa, Sina Etemad and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:444
  36. The interaction among phytoplankton and zooplankton is one of the most important processes in ecology. Discrete-time mathematical models are commonly used for describing the dynamical properties of phytoplankt...

    Authors: Muhammad Salman Khan, Maria Samreen, Hassen Aydi and Manuel De la Sen
    Citation: Advances in Difference Equations 2021 2021:443

    The Correction to this article has been published in Advances in Difference Equations 2021 2021:519

  37. In this paper, we present a new structure of the n-dimensional trigonometric cubic B-spline collocation algorithm, which we show in three different formats: one-, two-, and three-dimensional. These constructs are...

    Authors: K. R. Raslan, Khalid K. Ali, Mohamed S. Mohamed and Adel R. Hadhoud
    Citation: Advances in Difference Equations 2021 2021:442
  38. This paper deals with Al-Salam fractional q-integral operator and its application to certain q-analogues of Bessel functions and power series. Al-Salam fractional q-integral operator has been applied to various t...

    Authors: Shrideh Al-Omari, Dayalal Suthar and Serkan Araci
    Citation: Advances in Difference Equations 2021 2021:441
  39. This paper proposes two numerical approaches for solving the coupled nonlinear time-fractional Burgers’ equations with initial or boundary conditions on the interval http://static-content.springer.com/image/art%3A10.1186%2Fs13662-021-03604-5/13662_2021_3604_Article_IEq1.gif ...

    Authors: Adel R. Hadhoud, H. M. Srivastava and Abdulqawi A. M. Rageh
    Citation: Advances in Difference Equations 2021 2021:439

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)

    2022 Speed
    12 days submission to first editorial decision for all manuscripts (Median)
    235 days submission to accept (Median)

    2022 Usage 
    927,536 downloads
    9 Altmetric mentions