A New Generalized Definition of Fractional Derivative with Non-Singular Kernel

This paper proposes a new definition of fractional derivative with non-singular kernel in the sense of Caputo which generalizes various forms existing in the literature. Furthermore, the version in the sense of Riemann–Liouville is defined. Moreover, fundamental properties of the new generalized fractional derivatives in the sense of Caputo and Riemann–Liouville are rigorously studied. Finally, an application in epidemiology as well as in virology is presented.

• Publication year

  2020

• Venue

  De Computis

• Publication date

  2020-05-21

• Fields of study

  Mathematics, Medicine, Computer Science

• Identifiers
  DOI 10.3390/computation8020049
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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