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Theory and Modern Applications

Advances in Continuous and Discrete Models Cover Image

Articles

Page 4 of 98

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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
  36. 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
  37. 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

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