Differential Equations

, Volume 46, Issue 2, pp 208–213 | Cite as

Fractional differential equations with worsening right-hand sides

  • E. A. Barkova
  • P. P. Zabreiko
Partial Differential Equations


We suggest methods for studying fractional differential equations with Caputo and Riemann-Liouville derivatives. Existence and uniqueness theorems are proved for the Cauchy problem for differential equations with worsening operators in scales of Banach spaces.


Banach Space Cauchy Problem Uniqueness Theorem Lipschitz Condition Fractional Differential Equation 
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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • E. A. Barkova
    • 1
    • 2
  • P. P. Zabreiko
    • 1
    • 2
  1. 1.Belarus State University of Computer Science and Radio ElectronicsMinskBelarus
  2. 2.Institute of MathematicsNational Academy of SciencesMinskBelarus

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