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Theory and Modern Applications

Advances in Continuous and Discrete Models Cover Image

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Page 3 of 98

  1. We consider a version of the pole placement problem for tempered one-sided linear discrete-time time-varying linear systems. We prove a sufficient condition for assignability of the nonuniform dichotomy spectr...

    Authors: Artur Babiarz, Adam Czornik and Stefan Siegmund
    Citation: Advances in Continuous and Discrete Models 2022 2022:20
  2. In this paper, we investigate the partial asymptotic stability (PAS) of neutral pantograph stochastic differential equations with Markovian switching (NPSDEwMSs). The main tools used to show the results are th...

    Authors: Lassaad Mchiri, Tomás Caraballo and Mohamed Rhaima
    Citation: Advances in Continuous and Discrete Models 2022 2022:18
  3. According to the theory of regular geometric functions, the relevance of geometry to analysis is a critical feature. One of the significant tools to study operators is to utilize the convolution product. The d...

    Authors: F. Ghanim, Hiba F. Al-Janaby and Omar Bazighifan
    Citation: Advances in Continuous and Discrete Models 2022 2022:17
  4. The objective of this article is to study a three-step iteration process in the framework of Banach spaces and to obtain convergence results for Suzuki generalized nonexpansive mappings. We also provide numeri...

    Authors: Izhar Uddin, Chanchal Garodia, Thabet Abdeljawad and Nabil Mlaiki
    Citation: Advances in Continuous and Discrete Models 2022 2022:16
  5. In this paper, the dynamical behavior of a mathematical model of cancer including tumor cells, immune cells, and normal cells is investigated when a delay term is induced. Though the model was originally propo...

    Authors: Anusmita Das, Kaushik Dehingia, Hemanta Kumar Sarmah, Kamyar Hosseini, Khadijeh Sadri and Soheil Salahshour
    Citation: Advances in Continuous and Discrete Models 2022 2022:15
  6. We investigate the functioning of a classifying biological neural network from the perspective of statistical learning theory, modelled, in a simplified setting, as a continuous-time stochastic recurrent neura...

    Authors: Youness Boutaib, Wiebke Bartolomaeus, Sandra Nestler and Holger Rauhut
    Citation: Advances in Continuous and Discrete Models 2022 2022:13
  7. We investigate a general sequential hybrid class of fractional differential equations in the Caputo and Atangana–Baleanu fractional senses of derivatives. We consider the existence and uniqueness of solutions ...

    Authors: Aziz Khan, Zareen A. Khan, Thabet Abdeljawad and Hasib Khan
    Citation: Advances in Continuous and Discrete Models 2022 2022:12
  8. We analyze a time-delay Caputo-type fractional mathematical model containing the infection rate of Beddington–DeAngelis functional response to study the structure of a vector-borne plant epidemic. We prove the...

    Authors: Pushpendra Kumar, Dumitru Baleanu, Vedat Suat Erturk, Mustafa Inc and V. Govindaraj
    Citation: Advances in Continuous and Discrete Models 2022 2022:11
  9. In this work, we explore the limiting behavior of Riemann solutions to the Euler equations in isentropic gas dynamics with general pressure law. We demonstrate that in the distributional sense the delta wave o...

    Authors: Muhammad Ibrahim, Anwarud Din, Abdullahi Yusuf, Yu-Pei Lv, Hadi Jahanshahi and Ayman A. Aly
    Citation: Advances in Continuous and Discrete Models 2022 2022:10
  10. We present unified versions of Minkowski-type fractional integral inequalities with the help of fractional integral operator based on a unified Mittag-Leffler function. These inequalities provide new as well a...

    Authors: Shuang-Shuang Zhou, Ghulam Farid and Ayyaz Ahmad
    Citation: Advances in Continuous and Discrete Models 2022 2022:9
  11. Fractional calculus operators play a very important role in generalizing concepts of calculus used in diverse fields of science. In this paper, we use Riemann–Liouville fractional integrals to establish genera...

    Authors: Ghulam Farid, Josip Pec̆arić and Kamsing Nonlaopon
    Citation: Advances in Continuous and Discrete Models 2022 2022:8
  12. In this paper, the mathematical models for flow and heat-transfer analysis of a non-Newtonian fluid with axisymmetric channels and porous walls are analyzed. The governing equations of the problem are derived ...

    Authors: Naveed Ahmad Khan, Muhammad Sulaiman, Poom Kumam and Fawaz Khaled Alarfaj
    Citation: Advances in Continuous and Discrete Models 2022 2022:7
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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

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  • 2022 Citation Impact
    4.1 - 2-year Impact Factor
    2.9 - 5-year Impact Factor
    1.702 - SNIP (Source Normalized Impact per Paper)
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