Properties of a New Fractional Derivative without Singular Kernel

  title={Properties of a New Fractional Derivative without Singular Kernel},
  author={Jorge Losada and Juan J. Nieto},
We introduce the fractional integral corresponding to the n ew concept of fractional derivative recently introduced by Caputo and Fabrizio and we study some related fractional different ial equations. 
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Linear models of dissipation whose Q is almost frequency independent: II

  • M. Caputo
  • Geophys. J. R. Astron. Soc. 13, 529–539
  • 1967
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4 Excerpts

Analytical Solutions for the m ulti-term time-space fractional reaction-diffusion equa tions on an infinite domain,Fract

  • X.-L. Ding, J. J. Nieto
  • Calc. Appl. Anal.8,
  • 2015
2 Excerpts

Theory and Applications of Fractional Differential Equati ons

  • A. A. Kilbas, H. M. Srivastava, J. J. Trujillo
  • Elsevier, Amsterdam
  • 2006
1 Excerpt

Applications of Fractional Calculus in Physics

  • R. Hilfer
  • World Scientific, Singapore
  • 2000
1 Excerpt

On the fractional calculus m odel of viscoelastic behavior

  • R. L. Bagley, P. J. Torvik
  • J. Rheol.30, 133–155
  • 1986
1 Excerpt

A new dissipation model based o n memory mechanism

  • M. Caputo, F. Mainardi
  • Pure Appl. Geophys. 91, 134–147
  • 1971

Linear models of dissipation whose Q is almost frequency independent : II , Geophys

  • Caputo
  • J . R . Astron . Soc .
  • 1967

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