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    STUDIA MATHEMATICA - Issue no. 1 / 2017  
         
  Article:   EXISTENCE AND ULAM STABILITY FOR NONLINEAR IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS WITH HADAMARD DERIVATIVE.

Authors:  .
 
       
         
  Abstract:  
DOI: https://doi.org/10.24193/subbmath.2017.0003
Published Online: 2017-03-03
Published Print: 2017-03-31


VIEW PDF: EXISTENCE AND ULAM STABILITY FOR NONLINEAR IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS WITH HADAMARD DERIVATIVE

The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit Hadamard fractional-order differential equation.

Mathematics Subject Classification (2010) : 26A33, 34A08.

Keywords: Initial value problem, Hadamard’s fractional derivative, implicit fractional differential equations, fractional integral, existence, Gronwall’s lemma, fixed point, Ulam-Hyers stability, Ulam-Hyers-Rassias stability.
 
         
     
         
         
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