Nonlinear Oscillations

, Volume 11, Issue 3, pp 307–319 | Cite as

On one class of differential equations of fractional order

  • A. N. Vityuk
  • A. V. Mikhailenko

We consider the Darboux problem for a differential equation of fractional order that contains a regularized mixed derivative. Sufficient conditions for the existence and uniqueness of a solution of this problem are obtained in the class of continuous functions. We also propose a method for finding an approximate solution of this problem and prove the convergence of this method.


Differential Equation Integral Equation Approximate Solution Cauchy Problem Fractional Order 
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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Institute of Mathematics, Economics, and MechanicsOdessa National UniversityOdessaUkraine

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