Cauchy problem in nonlocal statement for a system of fractional partial differential equations |
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Authors: | M. O. Mamchuev |
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Affiliation: | 1.Research Institute for Applied Mathematics and Automation, Kabardino-Balkar Scientific Center,Russian Academy of Sciences,Nalchik,Russia |
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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
$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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Keywords: | |
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