IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2022i1p32-d1010979.html
   My bibliography  Save this article

A New Projection Method for a System of Fractional Cauchy Integro-Differential Equations via Vieta–Lucas Polynomials

Author

Listed:
  • Abdelkader Moumen

    (Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 55425, Saudi Arabia
    These authors contributed equally to this work.)

  • Abdelaziz Mennouni

    (Department of Mathematics, LTM, University of Batna 2, Mostefa Ben Boulaïd, Fesdis, Batna 05078, Algeria
    These authors contributed equally to this work.)

Abstract

This work presents a projection method based on Vieta–Lucas polynomials and an effective approach to solve a Cauchy-type fractional integro-differential equation system. The suggested established model overcomes two linear equation systems. We prove the existence of the problem’s approximate solution and conduct an error analysis in a weighted space. The theoretical results are numerically supported.

Suggested Citation

  • Abdelkader Moumen & Abdelaziz Mennouni, 2022. "A New Projection Method for a System of Fractional Cauchy Integro-Differential Equations via Vieta–Lucas Polynomials," Mathematics, MDPI, vol. 11(1), pages 1-14, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:32-:d:1010979
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/1/32/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/1/32/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Li, Bo & Liang, Houjun & Shi, Lian & He, Qizhi, 2022. "Complex dynamics of Kopel model with nonsymmetric response between oligopolists," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    2. Li, Bo & Liang, Houjun & He, Qizhi, 2021. "Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    3. Qu, Hai-Dong & Liu, Xuan & Lu, Xin & ur Rahman, Mati & She, Zi-Hang, 2022. "Neural network method for solving nonlinear fractional advection-diffusion equation with spatiotemporal variable-order," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    4. Saeed Althubiti & Abdelaziz Mennouni, 2022. "A Novel Projection Method for Cauchy-Type Systems of Singular Integro-Differential Equations," Mathematics, MDPI, vol. 10(15), pages 1-11, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Timilehin Opeyemi Alakoya & Oluwatosin Temitope Mewomo, 2023. "A Relaxed Inertial Tseng’s Extragradient Method for Solving Split Variational Inequalities with Multiple Output Sets," Mathematics, MDPI, vol. 11(2), pages 1-26, January.
    2. Li, Xiaoliang & Li, Bo & Liu, Li, 2023. "Stability and dynamic behaviors of a limited monopoly with a gradient adjustment mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    3. Najariyan, Marzieh & Qiu, Li, 2023. "Singular fuzzy fractional quadratic regulator problem," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    4. Zorica Dodevska & Sandro Radovanović & Andrija Petrović & Boris Delibašić, 2023. "When Fairness Meets Consistency in AHP Pairwise Comparisons," Mathematics, MDPI, vol. 11(3), pages 1-18, January.
    5. Xiaoliang Li & Bo Li, 2023. "A Bertrand duopoly game with differentiated products reconsidered," Papers 2301.01007, arXiv.org.
    6. Liu, Dayong, 2023. "Does green finance and natural resources agglomeration have potential for green economic growth? Evidence from Asian perspective," Resources Policy, Elsevier, vol. 84(C).
    7. Ngo, Thanh & Trinh, Hai Hong & Haouas, Ilham & Ullah, Subhan, 2022. "Examining the bidirectional nexus between financial development and green growth: International evidence through the roles of human capital and education expenditure," Resources Policy, Elsevier, vol. 79(C).
    8. Xiaoliang Li & Kongyan Chen, 2023. "Equilibria and their stability in an asymmetric duopoly model of Kopel," Papers 2301.12628, arXiv.org.
    9. Abdelkader Moumen & Abdelaziz Mennouni & Mohamed Bouye, 2023. "A Novel Vieta–Fibonacci Projection Method for Solving a System of Fractional Integrodifferential Equations," Mathematics, MDPI, vol. 11(18), pages 1-14, September.
    10. Li, Bo & Liang, Houjun & Shi, Lian & He, Qizhi, 2022. "Complex dynamics of Kopel model with nonsymmetric response between oligopolists," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    11. Biswas, Chetna & Singh, Anup & Chopra, Manish & Das, Subir, 2023. "Study of fractional-order reaction-advection-diffusion equation using neural network method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 15-27.
    12. Liang Song & Shaodong Chen & Guoxin Wang, 2023. "Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations," Mathematics, MDPI, vol. 11(16), pages 1-14, August.
    13. Qian, Jiamin & Chen, Lincong, 2021. "Stochastic P-bifurcation analysis of a novel type of unilateral vibro-impact vibration system," Chaos, Solitons & Fractals, Elsevier, vol. 149(C).
    14. Rais Ahmad & Mohd Ishtyak & Arvind Kumar Rajpoot & Yuanheng Wang, 2022. "Solving System of Mixed Variational Inclusions Involving Generalized Cayley Operator and Generalized Yosida Approximation Operator with Error Terms in q -Uniformly Smooth Space," Mathematics, MDPI, vol. 10(21), pages 1-17, November.
    15. Dongpo Hu & Xuexue Liu & Kun Li & Ming Liu & Xiao Yu, 2023. "Codimension-Two Bifurcations of a Simplified Discrete-Time SIR Model with Nonlinear Incidence and Recovery Rates," Mathematics, MDPI, vol. 11(19), pages 1-24, September.
    16. Xiaoliang Li & Jiacheng Fu & Wei Niu, 2023. "Complex dynamics of knowledgeable monopoly models with gradient mechanisms," Papers 2301.01497, arXiv.org.
    17. Wu, Qihan & Yan, Dong & Umair, Muhammad, 2023. "Assessing the role of competitive intelligence and practices of dynamic capabilities in business accommodation of SMEs," Economic Analysis and Policy, Elsevier, vol. 77(C), pages 1103-1114.
    18. Mohsen Mortazavi, 2023. "Selecting Sustainable Optimal Stock by Using Multi-Criteria Fuzzy Decision-Making Approaches Based on the Development of the Gordon Model: A case study of the Toronto Stock Exchange," Papers 2304.13818, arXiv.org.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:32-:d:1010979. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.