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Existence results for nonlinear fractional integro-differential equations with integral and antiperiodic boundary conditions

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Abstract

The objective of this paper is to investigate the existence and uniqueness for a nonlinear fractional integro-differential equations with integral and anti-periodic boundary conditions by means of fixed point theorems. The existence of solutions is obtained from the well known Krasnoselskii’s fixed point theorem, whereas the uniqueness of solutions is established via the Banach’s contraction principle. Two examples are given to validate the results.

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No data were used to support this study.

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Acknowledgements

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Authors and Affiliations

  1. Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco

    Lahcen Ibnelazyz, Karim Guida, Khalid Hilal & Said Melliani

Authors
  1. Lahcen Ibnelazyz
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  2. Karim Guida
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  3. Khalid Hilal
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  4. Said Melliani
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Correspondence to Lahcen Ibnelazyz.

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Communicated by José Tenreiro Machado.

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Ibnelazyz, L., Guida, K., Hilal, K. et al. Existence results for nonlinear fractional integro-differential equations with integral and antiperiodic boundary conditions. Comp. Appl. Math. 40, 33 (2021). https://doi.org/10.1007/s40314-021-01419-4

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  • DOI: https://doi.org/10.1007/s40314-021-01419-4

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