Abstract
We study the system \(D_{0y}^\alpha u_i + ( - 1)^{i - 1} \lambda \frac{\partial } {{\partial x}}u_i = a_{i1} u_1 + a_{i2} u_2 + f_i \) , i = 1, 2, of Riemann-Liouville fractional partial differential equations with constant coefficients and prove theorems on the existence and uniqueness of a solution of a Cauchy problem in nonlocal statement.
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Original Russian Text © M.O. Mamchuev, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 3, pp. 351–358.
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Mamchuev, M.O. Cauchy problem in nonlocal statement for a system of fractional partial differential equations. Diff Equat 48, 354–361 (2012). https://doi.org/10.1134/S0012266112030068
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DOI: https://doi.org/10.1134/S0012266112030068