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  1. Keeping in view the latest trends toward quantum calculus, due to its various applications in physics and applied mathematics, we introduce a new subclass of meromorphic multivalent functions in Janowski domai...

    Authors: Bakhtiar Ahmad, Wali Khan Mashwani, Serkan Araci, Saima Mustafa, Muhammad Ghaffar Khan and Bilal Khan
    Citation: Advances in Continuous and Discrete Models 2022 2022:5
  2. The three-term conjugate gradient (CG) algorithms are among the efficient variants of CG algorithms for solving optimization models. This is due to their simplicity and low memory requirements. On the other ha...

    Authors: Ibrahim Mohammed Sulaiman, Maulana Malik, Aliyu Muhammed Awwal, Poom Kumam, Mustafa Mamat and Shadi Al-Ahmad
    Citation: Advances in Continuous and Discrete Models 2022 2022:1
  3. In this paper, we consider a new stage-structured population model with transient and nontransient impulsive effects in a polluted environment. By using the theories of impulsive differential equations, we obt...

    Authors: Qi Quan, Wenyan Tang, Jianjun Jiao and Yuan Wang
    Citation: Advances in Difference Equations 2021 2021:518
  4. This paper considers the initial-boundary value problem of the one-dimensional full compressible nematic liquid crystal flow problem. The initial density is allowed to touch vacuum, and the viscous and heat co...

    Authors: Tariq Mahmood and Mei Sun
    Citation: Advances in Difference Equations 2021 2021:517
  5. Our objective in this paper is to study the oscillatory and asymptotic behavior of the solutions of third-order neutral differential equations with damping and distributed deviating arguments. New oscillation ...

    Authors: Yakun Wang, Fanwei Meng and Juan Gu
    Citation: Advances in Difference Equations 2021 2021:515
  6. In this paper, we establish sufficient conditions for various stability aspects of a nonlinear Volterra integro-dynamic matrix Sylvester system on time scales. We convert the nonlinear Volterra integro-dynamic...

    Authors: Sreenivasulu Ayyalappagari and Venkata Appa Rao Bhogapurapu
    Citation: Advances in Difference Equations 2021 2021:514
  7. In this paper, we introduce the concept of lacunary statistical boundedness of Δ-measurable real-valued functions on an arbitrary time scale. We also give the relations between statistical boundedness and lacu...

    Authors: Bayram Sözbir and Selma Altundağ
    Citation: Advances in Difference Equations 2021 2021:513
  8. Convection and diffusion are two harmonious physical processes that transfer particles and physical quantities. This paper deals with a new aspect of solving the convection–diffusion equation in fractional ord...

    Authors: Reem Edwan, Shrideh Al-Omari, Mohammed Al-Smadi, Shaher Momani and Andreea Fulga
    Citation: Advances in Difference Equations 2021 2021:510
  9. In this paper we address the weak Radon measure-valued solutions associated with the Young measure for a class of nonlinear parabolic equations with initial data as a bounded Radon measure. This problem is des...

    Authors: Quincy Stévène Nkombo, Fengquan Li and Christian Tathy
    Citation: Advances in Difference Equations 2021 2021:509
  10. The present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman–Korovkin theorem. In order to examine their approximation behaviours, the approximation p...

    Authors: Reyhan Özçelik, Emrah Evren Kara, Fuat Usta and Khursheed J. Ansari
    Citation: Advances in Difference Equations 2021 2021:508
  11. In this paper, we construct a method with eight steps that belongs to the family of Obrechkoff methods. Due to the explicit nature of the new method, not only does it not require another method as predictor, b...

    Authors: Ali Shokri, Higinio Ramos, Mohammad Mehdizadeh Khalsaraei, Fikret A. Aliev and Martin Bohner
    Citation: Advances in Difference Equations 2021 2021:506
  12. In this paper, we define framed slant helices and give a necessary and sufficient condition for them in three-dimensional Euclidean space. Then, we introduce the spherical images of a framed curve. Also, we ex...

    Authors: Osman Zeki Okuyucu and Mevlüt Canbirdi
    Citation: Advances in Difference Equations 2021 2021:504
  13. In this work, we investigate h-ϕ contraction mappings with two metrics endowed with a directed graph which involve auxiliary functions. The achievement allows us to obtain applications for the existence of the so...

    Authors: Ben Wongsaijai, Phakdi Charoensawan, Teeranush Suebcharoen and Watchareepan Atiponrat
    Citation: Advances in Difference Equations 2021 2021:503
  14. The impact of Newtonian heating on a time-dependent fractional magnetohydrodynamic (MHD) Maxwell fluid over an unbounded upright plate is investigated. The equations for heat, mass and momentum are established...

    Authors: Nazish Iftikhar, Fatima Javed, Muhammad Bilal Riaz, Muhammad Abbas, Abdullah M. Alsharif and Y. S. Hamed
    Citation: Advances in Difference Equations 2021 2021:501
  15. In this paper a new approach is taken to find the exact solutions for generalized unsteady magnetohydrodynamic transport of a rate-type fluid near an unbounded upright plate and is analyzed for ramped wall tem...

    Authors: Muhammad Bilal Riaz, Jan Awrejcewicz, Aziz Ur Rehman and Muhammad Abbas
    Citation: Advances in Difference Equations 2021 2021:500
  16. The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and none...

    Authors: Jufang Wang, Changlong Yu, Boya Zhang and Si Wang
    Citation: Advances in Difference Equations 2021 2021:499
  17. This research is conducted for studying some qualitative specifications of solution to a generalized fractional structure of the standard snap boundary problem. We first rewrite the mathematical model of the e...

    Authors: Mohammad Esmael Samei, Mohammed M. Matar, Sina Etemad and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:498
  18. The main purpose of this paper is to prove the existence of positive solutions for a system of nonlinear Caputo-type fractional differential equations with two parameters. By using the Guo–Krasnosel’skii fixed...

    Authors: Yang Chen and Hongyu Li
    Citation: Advances in Difference Equations 2021 2021:497
  19. Two new iterative methods for the simultaneous determination of all multiple as well as distinct roots of nonlinear polynomial equation are established, using two suitable corrections to achieve a very high co...

    Authors: Mudassir Shams, Naila Rafiq, Nasreen Kausar, Praveen Agarwal, Choonkil Park and Shaher Momani
    Citation: Advances in Difference Equations 2021 2021:495
  20. Chemical graph theory is a field of mathematics that studies ramifications of chemical network interactions. Using the concept of star graphs, several investigators have looked into the solutions to certain bo...

    Authors: Ali Turab, Zoran D. Mitrović and Ana Savić
    Citation: Advances in Difference Equations 2021 2021:494
  21. The theory of fractional integral inequalities plays an intrinsic role in approximation theory also it has been a key in establishing the uniqueness of solutions for some fractional differential equations. Fra...

    Authors: Tariq A. Aljaaidi, Deepak B. Pachpatte, Thabet Abdeljawad, Mohammed S. Abdo, Mohammed A. Almalahi and Saleh S. Redhwan
    Citation: Advances in Difference Equations 2021 2021:493
  22. In this work we propose an accelerated algorithm that combines various techniques, such as inertial proximal algorithms, Tseng’s splitting algorithm, and more, for solving the common variational inclusion prob...

    Authors: Raweerote Suparatulatorn, Watcharaporn Cholamjiak, Aviv Gibali and Thanasak Mouktonglang
    Citation: Advances in Difference Equations 2021 2021:492
  23. In this article, we establish a new class of mixed integral fractional delay dynamic systems with impulsive effects on time scales. We investigate the qualitative properties of the considered systems. In fact,...

    Authors: Bakhtawar Pervaiz, Akbar Zada, Sina Etemad and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:491
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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

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