Fractional Calculus of P-transforms
Kumar, Dilip, Kilbas, Anatoly (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 44A20, 33C60, 44A10, 26A33, 33C20, 85A99 The fractional calculus of the P-transform or pathway transform which is a generalization of many well known integral transforms is studied. The Mellin and Laplace transforms of a P-transform are obtained. The composition formulae for the various fractional operators such as Saigo operator, Kober operator and Riemann-Liouville fractional integral and differential operators with P-transform are proved. Application of the P-transform...