Displaying similar documents to “About the derivatives of Cauchy type integrals in the polydisc.”

Cauchy Problem for Differential Equation with Caputo Derivative

Kilbas, Anatoly, Marzan, Sergei (2004)

Fractional Calculus and Applied Analysis

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The paper is devoted to the study of the Cauchy problem for a nonlinear differential equation of complex order with the Caputo fractional derivative. The equivalence of this problem and a nonlinear Volterra integral equation in the space of continuously differentiable functions is established. On the basis of this result, the existence and uniqueness of the solution of the considered Cauchy problem is proved. The approximate-iterative method by Dzjadyk is used to obtain the approximate...

Cauchy-Type Problem for Diffusion-Wave Equation with the Riemann-Liouville Partial Derivative

Kilbas, Anatoly, Trujillo, Juan, Voroshilov, Aleksandr (2005)

Fractional Calculus and Applied Analysis

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2000 Mathematics Subject Classification: 35A15, 44A15, 26A33 The paper is devoted to the study of the Cauchy-type problem for the differential equation [...] involving the Riemann-Liouville partial fractional derivative of order α > 0 [...] and the Laplace operator.