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  1. 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

    Content type: Research

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  2. 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

    Content type: Research

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  3. 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

    Content type: Research

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  4. 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

    Content type: Research

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  5. 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

    Content type: Research

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  6. 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

    Content type: Research

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  7. 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

    Content type: Research

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  8. 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

    Content type: Research

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  9. 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

    Content type: Research

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  10. 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

    Content type: Research

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  11. 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

    Content type: Research

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  12. 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

    Content type: Research

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  13. 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

    Content type: Research

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  14. 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

    Content type: Research

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  15. 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

    Content type: Research

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  16. 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

    Content type: Research

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  17. 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

    Content type: Research

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  18. 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

    Content type: Research

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  19. 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

    Content type: Research

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  20. 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

    Content type: Research

    Published on:

  21. 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

    Content type: Research

    Published on:

  22. 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

    Content type: Research

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  23. 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

    Content type: Research

    Published on:

  24. 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

    Content type: Research

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  25. 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

    Content type: Research

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  26. 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

    Content type: Research

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  27. 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

    Content type: Review

    Published on:

  28. 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

    Content type: Research

    Published on:

  29. 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

    Content type: Research

    Published on:

  30. 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

    Content type: Research

    Published on:

  31. 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

    Content type: Research

    Published on:

  32. 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

    Content type: Research

    Published on:

  33. 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

    Content type: Research

    Published on:

  34. 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

    Content type: Research

    Published on:

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