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On solvability of some $ p $-Laplacian boundary value problems with Caputo fractional derivative

  • Received: 01 August 2021 Accepted: 17 September 2021 Published: 26 September 2021
  • MSC : 47H08, 47H10

  • The solvability of some $ p $-Laplace boundary value problems with Caputo fractional derivative are discussed. By using the fixed-point theory and analysis techniques, some existence results of one or three non-negative solutions are obtained. Two examples showed that the conditions used in this paper are somewhat easy to check.

    Citation: Xiaoping Li, Dexin Chen. On solvability of some $ p $-Laplacian boundary value problems with Caputo fractional derivative[J]. AIMS Mathematics, 2021, 6(12): 13622-13633. doi: 10.3934/math.2021792

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  • The solvability of some $ p $-Laplace boundary value problems with Caputo fractional derivative are discussed. By using the fixed-point theory and analysis techniques, some existence results of one or three non-negative solutions are obtained. Two examples showed that the conditions used in this paper are somewhat easy to check.



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