<p>In this paper, we apply the Picard method for solving the Cauchy problem for some fractional differential equations with Atangana–Baleanu fractional derivative. An iterative scheme is derived and its convergence is proved.</p>

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APPLICATION OF THE PICARD METHOD TO SOLVING THE CAUCHY PROBLEM FOR SOME FRACTIONAL DIFFERENTIAL EQUATIONS

  • N. A. Antonov

摘要

In this paper, we apply the Picard method for solving the Cauchy problem for some fractional differential equations with Atangana–Baleanu fractional derivative. An iterative scheme is derived and its convergence is proved.