A fractional operator algorithm method for construction of solutions of fractional order differential equations

DOI10.2478/s13540-012-0020-5zbMath1273.34014OpenAlexW2075071911MaRDI QIDQ5327118

Kanat M. Shinaliyev, Sabir R. Umarov, Batirkhan Kh. Turmetov

Publication date: 2 August 2013

Published in: Fractional Calculus and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-012-0020-5

zbMATH Keywords

operator methodfractional-order differential equationnormed systemoperator of fractional differentiation and integration

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Mittag-Leffler functions and generalizations (33E12) Fractional ordinary differential equations (34A08)

Related Items

On certain operator method for solving differential equations, Operator method for construction of solutions of linear fractional differential equations with constant coefficients

Cites Work

• A Cauchy-type problem for the diffusion-wave equation with Riemann-Liouville partial derivative
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative
• On the real zeros of functions of Mittag-Leffler type
• Professor Rudolf Gorenflo and his contribution to fractional calculus
• Fractional Fokker-Planck-Kolmogorov type equations and their associated stochastic differential equations
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