Research article

Existence and data dependence results for neutral fractional order integro-differential equations

  • Received: 10 August 2022 Revised: 17 September 2022 Accepted: 20 September 2022 Published: 14 October 2022
  • MSC : 34A60, 33E12, 34G20

  • We assess the multi-derivative nonlinear neutral fractional order integro-differential equations with Atangana-Baleanu fractional derivative of the Riemann-Liouville sense. We discuss results about the existence and difference solution on some data, based on the Prabhakar fractional integral operator $ \varepsilon^{\alpha}_{\delta, \eta, \mathcal{V}; c+} $ with generalized Mittag-Leffler function. The results are obtained by using Krasnoselskii's fixed point theorem and the Gronwall-Bellman inequality.

    Citation: Veliappan Vijayaraj, Chokkalingam Ravichandran, Thongchai Botmart, Kottakkaran Sooppy Nisar, Kasthurisamy Jothimani. Existence and data dependence results for neutral fractional order integro-differential equations[J]. AIMS Mathematics, 2023, 8(1): 1055-1071. doi: 10.3934/math.2023052

    Related Papers:

  • We assess the multi-derivative nonlinear neutral fractional order integro-differential equations with Atangana-Baleanu fractional derivative of the Riemann-Liouville sense. We discuss results about the existence and difference solution on some data, based on the Prabhakar fractional integral operator $ \varepsilon^{\alpha}_{\delta, \eta, \mathcal{V}; c+} $ with generalized Mittag-Leffler function. The results are obtained by using Krasnoselskii's fixed point theorem and the Gronwall-Bellman inequality.



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