SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS AND SYSTEMS USING THE MITTAG-LEFFLER FUNCTION

SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS AND SYSTEMS USING THE MITTAG-LEFFLER FUNCTION

Authors

  • Damir Suyesin uli. Shamuratov

Keywords:

Mittag-Leffler function, generalized Mittag-Leffler function, fractional differential equation, fractional differential system.

Abstract

A timely topic in mathematics and its application is the theory of fractional differential equations. Many real problems lead to such mathematical models. In this article, fractional differential equations and systems are organized and these equations are solved using the Mittag-Leffler function.

References

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Gross, B.: On creep and relaxation. J. Appl. Phys. 18, 212–221 (1947)

Barret, J.H.: Differential equations of non-integer order. Can. J. Math. 6, 529–541 (1954)

Caputo, M., Mainardi, F.: Linear models of dissipation in anelastic solids. Riv. Nuovo Cimento 1(2), 161–198 (1971)

I. Podlubny, Fractional differential equations, Academic Press, San Diego, 1999.

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Published

2024-06-04
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