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  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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

  19. 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
  20. 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
  21. In the present investigation, with the help of certain higher-order q-derivatives, some new subclasses of multivalent q-starlike functions which are associated with the Janowski functions are defined. Then, certa...

    Authors: Bilal Khan, Zhi-Guo Liu, H. M. Srivastava, Serkan Araci, Nazar Khan and Qazi Zahoor Ahmad
    Citation: Advances in Difference Equations 2021 2021:440
  22. 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
  23. In this work, we establish some necessary results about existence theory to a class of boundary value problems (BVPs) of hybrid fractional differential equations (HFDEs) in the frame of Atangana–Baleanu–Caputo (A...

    Authors: Rozi Gul, Kamal Shah, Zareen A. Khan and Fahd Jarad
    Citation: Advances in Difference Equations 2021 2021:437
  24. In this research, we study a general class of variable order integro-differential equations (VO-IDEs). We propose a numerical scheme based on the shifted fifth-kind Chebyshev polynomials (SFKCPs). First, in th...

    Authors: H. Jafari, S. Nemati and R. M. Ganji
    Citation: Advances in Difference Equations 2021 2021:435
  25. In this paper, we consider the biparabolic problem under nonlocal conditions with both linear and nonlinear source terms. We derive the regularity property of the mild solution for the linear source term while...

    Authors: Le Dinh Long, Ho Duy Binh, Kim Van Ho Thi and Van Thinh Nguyen
    Citation: Advances in Difference Equations 2021 2021:434
  26. In this paper, we investigate the growth and fixed points of solutions of higher-order linear differential equations in the unit disc. We extend the coefficient conditions to a type of one-constant-control coe...

    Authors: Yu Chen, Guan-Tie Deng, Zhan-Mei Chen and Wei-Wei Wang
    Citation: Advances in Difference Equations 2021 2021:431
  27. HIV patients are vulnerable to developing active visceral leishmaniasis (VL). To understand this complication, we studied a mathematical model for HIV and visceral leishmaniasis coinfection. In this approach, ...

    Authors: Zinabu Teka Melese and Haileyesus Tessema Alemneh
    Citation: Advances in Difference Equations 2021 2021:429
  28. In this paper, we consider a new coupled system of fractional boundary value problems based on the thermostat control model. With the help of fixed point theory, we investigate the existence criterion of the s...

    Authors: Sina Etemad, Brahim Tellab, Jehad Alzabut, Shahram Rezapour and Mohamed Ibrahim Abbas
    Citation: Advances in Difference Equations 2021 2021:428
  29. The main objective of this paper is to investigate the existence, uniqueness, and Ulam–Hyers stability of positive solutions for fractional integro-differential boundary values problem. Uniqueness result is ob...

    Authors: Mohammed M. Matar, Manar abu Jarad, Manzoor Ahmad, Akbar Zada, Sina Etemad and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:423
  30. The aim of this paper is to introduce the degenerate generalized Laguerre polynomials as the degenerate version of the generalized Laguerre polynomials and to derive some properties related to those polynomial...

    Authors: Taekyun Kim, Dmitry V. Dolgy, Dae San Kim, Hye Kyung Kim and Seong Ho Park
    Citation: Advances in Difference Equations 2021 2021:421
  31. Recently, Kim et al. (Adv. Differ. Equ. 2020:168, 2020) considered the poly-Bernoulli numbers and polynomials resulting from the moderated version of degenerate polyexponential functions. In this paper, we invest...

    Authors: Waseem A. Khan, Ghulam Muhiuddin, Abdulghani Muhyi and Deena Al-Kadi
    Citation: Advances in Difference Equations 2021 2021:420
  32. In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous ...

    Authors: Tariq A. Aljaaidi, Deepak B. Pachpatte, Wasfi Shatanawi, Mohammed S. Abdo and Kamaleldin Abodayeh
    Citation: Advances in Difference Equations 2021 2021:419
  33. The main purpose of this paper is to present some fixed-point results for a pair of fuzzy dominated mappings which are generalized V-contractions in modular-like metric spaces. Some theorems using a partial order...

    Authors: Tahair Rasham, Awais Asif, Hassen Aydi and Manuel De La Sen
    Citation: Advances in Difference Equations 2021 2021:417
  34. In this article, we consider a temporally second-order unconditionally energy stable computational method for the Allen–Cahn (AC) equation with a high-order polynomial free energy potential. By modifying the n...

    Authors: Junseok Kim and Hyun Geun Lee
    Citation: Advances in Difference Equations 2021 2021:416

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