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Analysis of some Katugampola fractional differential equations with fractional boundary conditions

  • Received: 23 July 2021 Accepted: 10 August 2021 Published: 27 August 2021
  • In this work, some class of the fractional differential equations under fractional boundary conditions with the Katugampola derivative is considered. By proving the Lyapunov-type inequality, there are deduced the conditions for existence, and non-existence of the solutions to the considered boundary problem. Moreover, we present some examples to demonstrate the effectiveness and applications of the new results.

    Citation: Barbara Łupińska, Ewa Schmeidel. Analysis of some Katugampola fractional differential equations with fractional boundary conditions[J]. Mathematical Biosciences and Engineering, 2021, 18(6): 7269-7279. doi: 10.3934/mbe.2021359

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  • In this work, some class of the fractional differential equations under fractional boundary conditions with the Katugampola derivative is considered. By proving the Lyapunov-type inequality, there are deduced the conditions for existence, and non-existence of the solutions to the considered boundary problem. Moreover, we present some examples to demonstrate the effectiveness and applications of the new results.



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