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Initial-boundary value problem for a difference-differential diffusion equation with fractional derivative and distributed delay

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References

  1. Samko, S.G., Kilbas, A.A., and Marichev, O.I., Integraly i proizvodnye drobnogo poryadka i ikh prilozheniya (Fractional Integrals and Derivatives and Their Applications), Minsk: Nauka i Tekhnika, 1987.

    MATH  Google Scholar 

  2. Zarubin, E.A., Vestn. Nauki, Orel, 2005, vol. 4, pp. 73–79.

    Google Scholar 

  3. Jahnke, E., Emde, F., and Lösch, F., Tafeln höherer Funktionen, Stuttgart: Teubner Verlagsgesellschaft, 1966. Translated under the title Spetsial’nye funktsii, Moscow: Nauka, 1977.

    Google Scholar 

  4. Arkhipov, G.I., Sadovnichii, V.A., and Chubarikov, V.N., Lektsii po matematicheskomu analizu (Lectures on Mathematical Analysis), Moscow: Vysshaya Shkola, 1999.

    Google Scholar 

  5. Nakhushev, A.M., Elementy drobnogo ischisleniya i ikh primenenie (Elements of Fractional Calculus and Their Applications), Nalchik: Izd-vo KBNTs RAN, 2000.

    Google Scholar 

  6. Zarubin, A.N., Kraevye zadachi dlya differentsial’nykh i differentsial’no-raznostnykh uravnenii (Boundary Value Problems for Quasidifferential and Difference-Differential Equations), Orel: Trud, 2002.

    Google Scholar 

  7. Podlubny, I., The Laplace Transform Method for Linear Differential Equations of the Fractional Order, Kosice, 1994.

  8. Ditkin, V.A. and Prudnikov, A.P., Operatsionnye ischisleniya (Operational Calculus), Moscow: Energiya, 1975.

    Google Scholar 

  9. Dzhrbashchyan, M.M., Integral’nye preobrazovaniya i predstavleniya funktsii v kompleksnoi oblasti (Integral Transforms and Representations of Functions in the Complex Domain), Moscow, 1966.

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Authors and Affiliations

  1. Orel State University, Orel, Russia

    P. S. Aleshin & A. N. Zarubin

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  1. P. S. Aleshin
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  2. A. N. Zarubin
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Original Russian Text © P.S. Aleshin, A.N. Zarubin, 2007, published in Differentsial’nye Uravneniya, 2007, Vol. 43, No. 10, pp. 1363–1368.

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Aleshin, P.S., Zarubin, A.N. Initial-boundary value problem for a difference-differential diffusion equation with fractional derivative and distributed delay. Diff Equat 43, 1396–1402 (2007). https://doi.org/10.1134/S0012266107100072

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  • DOI: https://doi.org/10.1134/S0012266107100072

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