On one class of differential equations of fractional order
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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.
KeywordsDifferential Equation Integral Equation Approximate Solution Cauchy Problem Fractional Order
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