Skip to main content
SpringerLink
Log in

Fractional Derivatives and Cauchy Problem for Differential Equations of Fractional Order

  • Archive Paper
  • Published:
Fractional Calculus and Applied Analysis Aims and scope Submit manuscript

Abstract

Editorial Note: This is a paper by M.M. Djrbashian and A.B. Nersesian of 1968, that was published in Russian.

There is a constant interest to Djrbashian’s contributions to the topic of fractional calculus and theory of Mittag-Leffler function. Unfortunately, his works were published in Russian and thus, are not easy accessible and not enough popular. Therefore, we invited S. Rogosin and M. Dubatovskaya to prepare the survey paper in this same issue of “FCAA” and also to translate and edit the present paper in English. On behalf of Editorial Board and fractional calculus’ community, we express to them our thanks for this hard work, including also retyping, mentioning some typos, etc.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M.M. Dzherbashian, A.B. Nersesian, A criterion of an expansion of functions into Dirichlet series. Izv. AN Armenian SSR, Ser. Phys.-Math. XI, No 5 (1958), 85–106 (in Russian).

    Google Scholar 

  2. M.M. Dzherbashian, On a new integral transform and its application in the theory of entire functions. Izv. AN SSSR, Ser. Mat. 19, No 2 (1955), 133–190 (in Russian).

    MathSciNet  Google Scholar 

  3. M.M. Dzherbashian, Integral Transforms and Rpresentation of Functions in a Complex Domain. Nauka, Moscow (1966) (in Russian).

    Google Scholar 

  4. M.M. Dzherbashian, A.B. Nersesian, Expansion in special biorthogonal systems and boundary value problems for differential equations of fractional order. Trudy Moscow Mat. Obshch. 10 (1961), 89–179 (in Russian).

    Google Scholar 

  5. J.D. Tamarkin, On integrable solution of Abel’s integral equation. Ann. of Math. 31, No 2 (1930), 214–228.

    Article  MathSciNet  Google Scholar 

  6. R. Tricomi, Integral Equations. Nauka, Moscow (1960) (in Russian).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics and Mechanics AN Armenian SSR, Erevan State University, Armenia

    M. M. Dzherbashian & A. B. Nersesian

  2. Sergei Rogosin, Maryna Dubatovskaya Dept. of Economics, Belarusian State University, Nezavisimosti ave 4, BY-220030, Minsk, Belarus

    M. M. Dzherbashian & A. B. Nersesian

Authors
  1. M. M. Dzherbashian
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. B. Nersesian
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. M. Dzherbashian.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dzherbashian, M.M., Nersesian, A.B. Fractional Derivatives and Cauchy Problem for Differential Equations of Fractional Order. Fract Calc Appl Anal 23, 1810–1836 (2020). https://doi.org/10.1515/fca-2020-0090

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1515/fca-2020-0090

Search

Navigation