Research article

Implicit fractional differential equation with anti-periodic boundary condition involving Caputo-Katugampola type

  • Received: 30 December 2019 Accepted: 25 March 2020 Published: 20 April 2020
  • MSC : 34B15, 34B18, 26A33, 34A12

  • This paper deals with a nonlinear implicit fractional differential equation with the anti-periodic boundary condition involving the Caputo-Katugampola type. The existence and uniqueness results are established by applying the fixed point theorems of Krasnoselskii and Banach. Further, by using generalized Gronwall inequality the Ulam-Hyers stability results are proved. To demonstrate the effectiveness of the main results, appropriate examples are granted.

    Citation: Saleh S. Redhwan, Sadikali L. Shaikh, Mohammed S. Abdo. Implicit fractional differential equation with anti-periodic boundary condition involving Caputo-Katugampola type[J]. AIMS Mathematics, 2020, 5(4): 3714-3730. doi: 10.3934/math.2020240

    Related Papers:

  • This paper deals with a nonlinear implicit fractional differential equation with the anti-periodic boundary condition involving the Caputo-Katugampola type. The existence and uniqueness results are established by applying the fixed point theorems of Krasnoselskii and Banach. Further, by using generalized Gronwall inequality the Ulam-Hyers stability results are proved. To demonstrate the effectiveness of the main results, appropriate examples are granted.


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