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Differential and integral relations involving fractional derivatives of Airy functions and applications

Authors
Journal
Journal of Mathematical Analysis and Applications
0022-247X
Publisher
Elsevier
Publication Date
Volume
348
Issue
1
Identifiers
DOI: 10.1016/j.jmaa.2008.06.052
Keywords
  • Fractional Derivatives Of Airy Functions
  • Integrals
  • Wronskian Relations
  • Fractional Derivative Conservation Laws
  • Equations Of Korteweg–De Vries Type

Abstract

Abstract Various differential and integral relations are deduced that involve fractional derivatives of the Airy function Ai ( x ) and the Scorer function Gi ( x ) . Several new Wronskian relations are obtained that lead to the calculation of a number of indefinite integrals containing fractional derivatives of the Airy functions. New fractional derivative conservation laws are derived for equations of the Korteweg–de Vries type.

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