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Matematicheskie Zametki, 2019, Volume 106, Issue 6, Pages 860–865
DOI: https://doi.org/10.4213/mzm12209 (Mi mzm12209) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Nonlocal Boundary-Value Problem for a Linear Ordinary Differential Equation with Fractional Discretely Distributed Differentiation Operator

L. Kh. Gadzova

Institute of Applied Mathematics and Automation, Nalchik
Full-text PDF (516 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm12209
Abstract: A nonlocal boundary-value problem for a linear ordinary differential equation with fractional discretely distributed differentiation operator is considered. The existence and uniqueness theorem for the solution of this problem is proved.
Keywords: Caputo derivative, boundary-value problem, fractional derivative, ordinary differential equation of fractional order, discretely distributed differentiation operator.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00462-А
This work was supported by the Russian Foundation for Basic Research under grant 16-01-00462-A.
Received: 02.10.2018
Revised: 29.01.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 6, Pages 904–908
DOI: https://doi.org/10.1134/S0001434619110269
Bibliographic databases:
Document Type: Article
UDC: 517.911
Language: Russian
Citation: L. Kh. Gadzova, “Nonlocal Boundary-Value Problem for a Linear Ordinary Differential Equation with Fractional Discretely Distributed Differentiation Operator”, Mat. Zametki, 106:6 (2019), 860–865; Math. Notes, 106:6 (2019), 904–908
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm12209
  • https://www.mathnet.ru/eng/mzm/v106/i6/p860
    • This publication is cited in the following 10 articles:
    1. Arsen V. Pskhu, “Inversion formulas for distributed order integration and differentiation operators”, J Math Sci, 2025  crossref
    2. Zhongdi Cen, Jian Huang, Aimin Xu, “An integral discretization scheme on a graded mesh for a fractional differential equation with integral boundary conditions”, J Math Chem, 2024  crossref
    3. L. Kh Gadzova, “NAYMARK PROBLEM FOR AN ORDINARY DIFFERENTIAL EQUATION WITH A FRACTIONAL DISCRETE DISTRIBUTED DIFFERENTIATION OPERATOR”, Differencialʹnye uravneniâ, 60:11 (2024), 1452  crossref
    4. L. Kh. Gadzova, “Naimark Problem for an Ordinary Differential Equation with a Fractional Discrete Distributed Differentiation Operator”, Diff Equat, 60:11 (2024), 1515  crossref
    5. A. Pskhu, “Transmutation operators intertwining first-order and distributed-order derivatives”, Bol. Soc. Mat. Mex., 29:3 (2023), 93  crossref
    6. A. Seal, S. Natesan, “Convergence analysis of a second-order scheme for fractional differential equation with integral boundary conditions”, J. Appl. Math. Comput., 69:1 (2023), 465  crossref  mathscinet
    7. L. Kh. Gadzova, “Obobschennaya kraevaya zadacha dlya obyknovennogo differentsialnogo uravneniya drobnogo poryadka”, Chelyab. fiz.-matem. zhurn., 7:1 (2022), 20–29  mathnet  crossref  mathscinet
    8. B. I. Efendiev, “Problem with sturm type conditions for a second-order ordinary differential equation with a distributed differentiation operator”, Diff Equat, 58:12 (2022), 1579  crossref  mathscinet
    9. Mary S. Joe Christin, Tamilselvan A., “Numerical Method For a Non-Local Boundary Value Problem With Caputo Fractional Order”, J. Appl. Math. Comput., 67:1-2 (2021), 671–687  crossref  mathscinet  isi
    10. B. I. Efendiev, “Zadacha Dirikhle dlya obyknovennogo differentsialnogo uravneniya vtorogo poryadka s operatorom raspredelennogo differentsirovaniya”, Doklady AMAN, 21:4 (2021), 37–44  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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