Skip to main content

Articles

Page 1 of 84

  1. In this paper an SIR deterministic mathematical model for co-infection of dengue and leptospirosis is proposed. We use a compartment model by using ordinary differential equations. The positivity of future sol...

    Authors: Haileyesus Tessema Alemneh

    Citation: Advances in Difference Equations 2020 2020:664

    Content type: Research

    Published on:

  2. In this manuscript, we investigate a nonlinear delayed model to study the dynamics of human-immunodeficiency-virus in the population. For analysis, we find the equilibria of a susceptible–infectious–immune sys...

    Authors: Ali Raza, Ali Ahmadian, Muhammad Rafiq, Soheil Salahshour, Muhammad Naveed, Massimiliano Ferrara and Atif Hassan Soori

    Citation: Advances in Difference Equations 2020 2020:663

    Content type: Research

    Published on:

  3. Deposition of lipid in the artery wall called atherosclerosis is recognized as a major cause of cardiovascular disease that leads to death worldwide. A better understanding into factors that may influence the ...

    Authors: Angkhana Prommarat and Farida Chamchod

    Citation: Advances in Difference Equations 2020 2020:662

    Content type: Research

    Published on:

  4. In this paper, based on Galerkin–Legendre spectral method for space discretization and a linearized Crank–Nicolson difference scheme in time, a fully discrete spectral scheme is developed for solving the stron...

    Authors: Mingfa Fei, Guoyu Zhang, Nan Wang and Chengming Huang

    Citation: Advances in Difference Equations 2020 2020:661

    Content type: Research

    Published on:

  5. In this paper we have proposed a stochastic model for studying the dynamics of tuberculosis (TB) by incorporating vaccination of newly born babies. The total population in this model is subdivided in to four c...

    Authors: Getachew Teshome Tilahun, Melisew Tefera Belachew and Zinabu Gebreselassie

    Citation: Advances in Difference Equations 2020 2020:658

    Content type: Research

    Published on:

  6. In the paper, we extend some previous results dealing with the Hermite–Hadamard inequalities with fractal sets and several auxiliary results that vary with local fractional derivatives introduced in the recent...

    Authors: Zareen A. Khan, Saima Rashid, Rehana Ashraf, Dumitru Baleanu and Yu-Ming Chu

    Citation: Advances in Difference Equations 2020 2020:657

    Content type: Research

    Published on:

  7. This manuscript is related to finding a solution of the SIR model under Mittag-Leffler type derivative. For the required results, we use Laplace transform together with Adomian decomposition method (LADM). The...

    Authors: Anwar Zeb, Ghazala Nazir, Kamal Shah and Ebraheem Alzahrani

    Citation: Advances in Difference Equations 2020 2020:654

    Content type: Research

    Published on:

  8. In this paper, we study the injection strategies of insulin for the impulsive therapy of diabetes in a limited time. According to whether we consider the risk of hypoglycemia or not, we develop two different c...

    Authors: Shouzong Liu, Ling Yu, Mingzhan Huang and Xiangyun Shi

    Citation: Advances in Difference Equations 2020 2020:653

    Content type: Research

    Published on:

  9. With the rapid development of information society, rumor plays an increasingly crucial part in social communication, and its spreading has a significant impact on human life. In this paper, a stochastic rumor-...

    Authors: Liang’an Huo and Xiaomin Chen

    Citation: Advances in Difference Equations 2020 2020:651

    Content type: Research

    Published on:

  10. In this paper, the existence and uniqueness of the interface coupling (IC) of time and spatial (TS) arbitrary-order fractional (AOF) nonlinear hyperbolic scalar conservation laws (NHSCL) are investigated. The tec...

    Authors: S. M. R. Shirkhorshidi, W. A. M. Othman, M. A. Omar Awang, D. Rostamy and A. S. Shirkhorshidi

    Citation: Advances in Difference Equations 2020 2020:650

    Content type: Research

    Published on:

  11. In this study, a hybrid technique for improving the differential transform method (DTM), namely the modified differential transform method (MDTM) expressed as a combination of the differential transform method...

    Authors: Seyyedeh Roodabeh Moosavi Noori and Nasir Taghizadeh

    Citation: Advances in Difference Equations 2020 2020:649

    Content type: Research

    Published on:

  12. We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities. Taking into consideration t...

    Authors: Shu-Bo Chen, Saima Rashid, Zakia Hammouch, Muhammad Aslam Noor, Rehana Ashraf and Yu-Ming Chu

    Citation: Advances in Difference Equations 2020 2020:647

    Content type: Research

    Published on:

  13. According to the World Health Organization reports, tuberculosis (TB) remains one of the top 10 deadly diseases of recent decades in the world. In this paper, we present the modeling, analysis and simulation o...

    Authors: Selain Kasereka Kabunga, Emile F. Doungmo Goufo and Vinh Ho Tuong

    Citation: Advances in Difference Equations 2020 2020:642

    Content type: Research

    Published on:

  14. In this article, we employ the lower regularized incomplete gamma functions to demonstrate the existence and uniqueness of solutions for fractional differential equations involving nonlocal fractional derivati...

    Authors: Zaid Laadjal, Thabet Abdeljawad and Fahd Jarad

    Citation: Advances in Difference Equations 2020 2020:641

    Content type: Research

    Published on:

  15. Variants of the Newton method are very popular for solving unconstrained optimization problems. The study on global convergence of the BFGS method has also made good progress. The q-gradient reduces to its classi...

    Authors: Shashi Kant Mishra, Geetanjali Panda, Suvra Kanti Chakraborty, Mohammad Esmael Samei and Bhagwat Ram

    Citation: Advances in Difference Equations 2020 2020:638

    Content type: Research

    Published on:

  16. In the article, we establish serval novel Hermite–Jensen–Mercer-type inequalities for convex functions in the framework of the k-fractional conformable integrals by use of our new approaches. Our obtained results...

    Authors: Saad Ihsan Butt, Muhammad Umar, Saima Rashid, Ahmet Ocak Akdemir and Yu-Ming Chu

    Citation: Advances in Difference Equations 2020 2020:635

    Content type: Research

    Published on:

  17. In the present research manuscript, we formulate a new generalized structure of the nonlinear Caputo fractional quantum multi-integro-differential equation in which such a multi-order structure of quantum inte...

    Authors: Nguyen Duc Phuong, Fethiye Muge Sakar, Sina Etemad and Shahram Rezapour

    Citation: Advances in Difference Equations 2020 2020:633

    Content type: Research

    Published on:

  18. The principal objective of the present paper is to manifest the exact traveling wave and numerical solutions of the good Boussinesq (GB) equation by employing He’s semiinverse process and moving mesh approache...

    Authors: Mohammed Bakheet Almatrafi, Abdulghani Ragaa Alharbi and Cemil Tunç

    Citation: Advances in Difference Equations 2020 2020:629

    Content type: Research

    Published on:

  19. In this paper, a novel rumor-spreading model is proposed under bilingual environment and heterogenous networks, which considers that exposures may be converted to spreaders or stiflers at a set rate. Firstly, ...

    Authors: Shuai Yang, Haijun Jiang, Cheng Hu, Juan Yu and Jiarong Li

    Citation: Advances in Difference Equations 2020 2020:628

    Content type: Research

    Published on:

  20. This paper aims to investigate the class of fifth-order Korteweg–de Vries equations by devising suitable novel hyperbolic and exponential ansatze. The class under consideration is endowed with a time-fractiona...

    Authors: Choonkil Park, R. I. Nuruddeen, Khalid K. Ali, Lawal Muhammad, M. S. Osman and Dumitru Baleanu

    Citation: Advances in Difference Equations 2020 2020:627

    Content type: Research

    Published on:

  21. The paper investigates control and synchronization of fractional-order maps described by the Caputo h-difference operator. At first, two new fractional maps are introduced, i.e., the Two-Dimensional Fractional-or...

    Authors: Ibtissem Talbi, Adel Ouannas, Amina-Aicha Khennaoui, Abdelhak Berkane, Iqbal M. Batiha, Giuseppe Grassi and Viet-Thanh Pham

    Citation: Advances in Difference Equations 2020 2020:624

    Content type: Research

    Published on:

  22. The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involv...

    Authors: Kottakkaran Sooppy Nisar, Gauhar Rahman, Dumitru Baleanu, Muhammad Samraiz and Sajid Iqbal

    Citation: Advances in Difference Equations 2020 2020:623

    Content type: Research

    Published on:

  23. In this article, a hybrid technique of Elzaki transformation and decomposition method is used to solve the Navier–Stokes equations with a Caputo fractional derivative. The numerical simulations and examples ar...

    Authors: Hajira, Hassan Khan, Adnan Khan, Poom Kumam, Dumitru Baleanu and Muhammad Arif

    Citation: Advances in Difference Equations 2020 2020:622

    Content type: Research

    Published on:

  24. In this paper, we investigate the necessary conditions on any s-type sequence space to form an operator ideal. As a result, we show that the s-type Nakano generalized difference sequence space X fails to generate...

    Authors: Awad A. Bakery and Afaf R. Abou Elmatty

    Citation: Advances in Difference Equations 2020 2020:620

    Content type: Research

    Published on:

  25. This paper deals with the derivation of some new dynamic Hilbert-type inequalities in time scale nabla calculus. In proving the results, the basic idea is to use some algebraic inequalities, Hölder’s inequalit...

    Authors: H. M. Rezk, Ghada AlNemer, H. A. Abd El-Hamid, Abdel-Haleem Abdel-Aty, Kottakkaran Sooppy Nisar and M. Zakarya

    Citation: Advances in Difference Equations 2020 2020:619

    Content type: Research

    Published on:

  26. In this work, we propose a framelet method based on B-spline functions for solving nonlinear Volterra–Fredholm integro-differential equations and by involving Atangana–Baleanu fractional derivative, which can ...

    Authors: Mutaz Mohammad and Alexander Trounev

    Citation: Advances in Difference Equations 2020 2020:618

    Content type: Research

    Published on:

  27. In this article, we are concerned with the existence of mild solutions and approximate controllability of Hilfer fractional evolution equations with almost sectorial operators and nonlocal conditions. The exis...

    Authors: Pallavi Bedi, Anoop Kumar, Thabet Abdeljawad, Zareen A. Khan and Aziz Khan

    Citation: Advances in Difference Equations 2020 2020:615

    Content type: Research

    Published on:

  28. In this paper, we investigate the optical solitons of the fractional complex Ginzburg–Landau equation (CGLE) with Kerr law nonlinearity which shows various phenomena in physics like nonlinear waves, second-ord...

    Authors: Amjad Hussain, Adil Jhangeer, Naseem Abbas, Ilyas Khan and El-Syed M. Sherif

    Citation: Advances in Difference Equations 2020 2020:612

    Content type: Research

    Published on:

  29. The effect of infectious diseases cannot be overemphasised. The continuing surfacing of the infectious diseases gives the stakeholders a great concern. In this paper, the nature of the spread of Ebola virus ou...

    Authors: A. U. Chukwu, J. A. Akinyemi, M. O. Adeniyi and S. O. Salawu

    Citation: Advances in Difference Equations 2020 2020:610

    Content type: Research

    Published on:

Annual Journal Metrics

Editors-in-Chief

​​​​​​​mbnk_edit Martin Bohner, Missouri University of Science and Technology, United States of America | 

Martin's SpringerNature Publications

Elena_Braverman_image_edit Elena Braverman, University of Calgary Canada | 

Elena's SpringerNature Publications