Research article

Caputo-Hadamard fractional differential equation with three-point boundary conditions in Banach spaces

  • Received: 11 August 2019 Accepted: 23 October 2019 Published: 07 November 2019
  • MSC : 26A33, 34A60

  • We introduce a more general class of fractional-order boundary value problems involving the Caputo-Hadamard fractional derivative. Existence results for the given problem are established by applying the Mönchos fixed point theorem and the technique of measures of noncompactness. an example is given to illustrate our results. The boundary conditions introduced in this work are of quite general nature and reduce to many special cases by fixing the parameters involved in the conditions.

    Citation: Abdelatif Boutiara, Kaddour Guerbati, Maamar Benbachir. Caputo-Hadamard fractional differential equation with three-point boundary conditions in Banach spaces[J]. AIMS Mathematics, 2020, 5(1): 259-272. doi: 10.3934/math.2020017

    Related Papers:

  • We introduce a more general class of fractional-order boundary value problems involving the Caputo-Hadamard fractional derivative. Existence results for the given problem are established by applying the Mönchos fixed point theorem and the technique of measures of noncompactness. an example is given to illustrate our results. The boundary conditions introduced in this work are of quite general nature and reduce to many special cases by fixing the parameters involved in the conditions.


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