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Ulam stability for nonlinear implicit differential equations with Hilfer-Katugampola fractional derivative and impulses

  • Received: 26 November 2021 Revised: 04 April 2022 Accepted: 17 April 2022 Published: 05 May 2022
  • MSC : 26A33

  • In this paper, we investigate the existence, uniqueness and stability results for a class of nonlinear impulsive Hilfer-Katugampola problems. Our reasoning is founded on the Banach contraction principle and Krasnoselskii's fixed point theorem. In addition, an example is provided to demonstrate the effectiveness of the main results.

    Citation: Soufyane Bouriah, Mouffak Benchohra, Juan J. Nieto, Yong Zhou. Ulam stability for nonlinear implicit differential equations with Hilfer-Katugampola fractional derivative and impulses[J]. AIMS Mathematics, 2022, 7(7): 12859-12884. doi: 10.3934/math.2022712

    Related Papers:

  • In this paper, we investigate the existence, uniqueness and stability results for a class of nonlinear impulsive Hilfer-Katugampola problems. Our reasoning is founded on the Banach contraction principle and Krasnoselskii's fixed point theorem. In addition, an example is provided to demonstrate the effectiveness of the main results.



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