A Fractional Analog of the Duhamel Principle
Umarov, Sabir, Saydamatov, Erkin (2006)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 35CXX, 26A33, 35S10 The well known Duhamel principle allows to reduce the Cauchy problem for linear inhomogeneous partial differential equations to the Cauchy problem for corresponding homogeneous equations. In the paper one of the possible generalizations of the classical Duhamel principle to the time-fractional pseudo-differential equations is established. * This work partially supported by NIH grant P20 GMO67594. ...