On one class of differential equations of fractional order |
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Authors: | A. N. Vityuk A. V. Mikhailenko |
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Affiliation: | 1.Institute of Mathematics, Economics, and Mechanics,Odessa National University,Odessa,Ukraine |
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Abstract: | We consider the Darboux problem for a differential equation of fractional order that contains a regularized mixed derivative. Sufficient conditions for the existence and uniqueness of a solution of this problem are obtained in the class of continuous functions. We also propose a method for finding an approximate solution of this problem and prove the convergence of this method. |
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