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Differentsial'nye Uravneniya, 2003, Volume 39, Number 10, Pages 1430–1433 (Mi de10932)  

This article is cited in 39 scientific papers (total in 39 papers)

Short Communications

Solution of Boundary Value Problems for the Fractional Diffusion Equation by the Green Function Method

A. V. Pskhu

Institute of Applied Mathematics and Automation, Nalchik
Received: 09.07.2002
English version:
Differential Equations, 2003, Volume 39, Issue 10, Pages 1509–1513
DOI: https://doi.org/10.1023/B:DIEQ.0000017925.68789.e9
Bibliographic databases:
Document Type: Article
UDC: 517.954
Language: Russian
Citation: A. V. Pskhu, “Solution of Boundary Value Problems for the Fractional Diffusion Equation by the Green Function Method”, Differ. Uravn., 39:10 (2003), 1430–1433; Differ. Equ., 39:10 (2003), 1509–1513
Citation in format AMSBIB
\Bibitem{Psk03}
\by A.~V.~Pskhu
\paper Solution of Boundary Value Problems for the Fractional Diffusion Equation by the Green Function Method
\jour Differ. Uravn.
\yr 2003
\vol 39
\issue 10
\pages 1430--1433
\mathnet{http://mi.mathnet.ru/de10932}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1955042}
\transl
\jour Differ. Equ.
\yr 2003
\vol 39
\issue 10
\pages 1509--1513
\crossref{https://doi.org/10.1023/B:DIEQ.0000017925.68789.e9}
Linking options:
  • https://www.mathnet.ru/eng/de10932
  • https://www.mathnet.ru/eng/de/v39/i10/p1430
  • This publication is cited in the following 39 articles:
    1. D. K. Durdiev, J.J. Jumaev, H. H. Turdiev, “INVERSE PROBLEM FOR DETERMINING TIME DEPENDENT COEFFICIENT AND SOURCE FUNCTIONS IN A TIME-FRACTIONAL DIFFUSION EQUATION”, J Math Sci, 2024  crossref
    2. M. Kh. Ruziev, R. T. Zunnunov, N. T. Yuldasheva, G. B. Rakhimova, “Bitsadze-Samarskii type problem for the diffusion equation and degenerate hyperbolic equation”, Vestnik KRAUNTs. Fiz.-mat. nauki, 48:3 (2024), 33–42  mathnet  crossref
    3. Erkinjon Karimov, Michael Ruzhansky, Bakhodirjon Toshtemirov, “Solvability of the boundary‐value problem for a mixed equation involving hyper‐Bessel fractional differential operator and bi‐ordinal Hilfer fractional derivative”, Math Methods in App Sciences, 46:1 (2023), 54  crossref
    4. A. A. Matchanova, “Inverse Problem for a Third-Order Parabolic-Hyperbolic Equation Involves Fractional Derivatives”, Lobachevskii J Math, 44:3 (2023), 1197  crossref
    5. Menglibay Kh. Ruziev, Nargiza T. Yuldasheva, “Nonlocal Boundary Value Problem for a Mixed Type Equation with Fractional Partial Derivative”, J Math Sci, 274:2 (2023), 275  crossref
    6. A. V. Pskhu, “D'Alembert Formula for Diffusion-Wave Equation”, Lobachevskii J Math, 44:2 (2023), 644  crossref
    7. D. K. Durdiev, J. J. Jumaev, “Inverse Coefficient Problem for a Time-Fractional Diffusion Equation in the Bounded Domain”, Lobachevskii J Math, 44:2 (2023), 548  crossref
    8. F.T. Bogatyreva, “O korrektnosti nachalnykh zadach dlya uravneniya drobnoi diffuzii”, Doklady AMAN, 23:4 (2023), 16–22  mathnet  crossref  elib
    9. F.T. Bogatyreva, “O predstavlenii resheniya uravneniya diffuzii s operatorami Dzhrbashyana-Nersesyana”, Vestnik KRAUNTs. Fiz.-mat. nauki, 40:3 (2022), 16–27  mathnet  crossref  mathscinet
    10. M. S. Ivshin, “Zadacha optimalnogo upravleniya dlya uravneniya drobnoi diffuzii c proizvodnoi v uslovii minimizatsii”, Doklady AMAN, 22:2 (2022), 21–28  mathnet  crossref  elib
    11. Isolda E. Cardoso, Sabrina D. Roscani, Domingo A. Tarzia, “About the convergence of a family of initial boundary value problems for a fractional diffusion equation of robin type”, Applied Mathematics and Computation, 433 (2022), 127375  crossref
    12. N. K. Ochilova, T. K. Yuldashev, “On a Nonlocal Boundary Value Problem for a Degenerate Parabolic-Hyperbolic Equation with Fractional Derivative”, Lobachevskii J Math, 43:1 (2022), 229  crossref
    13. O. Kh. Abdullaev, A. A. Matchanova, “On a Problem for the Third Order Equation with Parabolic-Hyperbolic Operator Including a Fractional Derivative”, Lobachevskii J Math, 43:2 (2022), 275  crossref
    14. F. M. Losanova, “Vnutrennekraevaya zadacha s integralnym usloviem dlya uravneniya drobnoi diffuzii”, Vestnik KRAUNTs. Fiz.-mat. nauki, 37:4 (2021), 24–29  mathnet  crossref  elib
    15. B. I. Islomov, O. Kh. Abdullaev, “On non-local problems for third order equation with Caputo operator and non-linear loaded part”, Ufa Math. J., 13:3 (2021), 44–56  mathnet  mathnet  crossref  isi  scopus
    16. F. G. Khushtova, “Third Boundary Value Problem in a Half-Strip for the Fractional Diffusion Equation”, Diff Equat, 57:12 (2021), 1610  crossref
    17. O. Kh. Abdullaev, “Gellerstedt Type Problem with Integral Gluing Condition for a Mixed Type Equation with Non-linear Loaded Term”, Lobachevskii J Math, 42:3 (2021), 479  crossref
    18. B. I. Islomov, O. Kh. Abdullaev, “Gellerstedt type problem for the loaded parabolic-hyperbolic type equation with Caputo and Erdelyi-Kober operators of fractional order”, Russian Math. (Iz. VUZ), 64:10 (2020), 29–42  mathnet  crossref  crossref  isi
    19. F. M. Losanova, “Vnutrennekraevaya zadacha dlya uravneniya drobnoi diffuzii”, Doklady AMAN, 20:3 (2020), 14–18  mathnet  crossref  elib
    20. F. G. Khushtova, “Ob ekvivalentnosti dvukh predstavlenii funktsii Grina pervoi kraevoi zadachi dlya uravneniya diffuzii drobnogo poryadka”, Doklady AMAN, 20:2 (2020), 12–15  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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