Analytical investigation of fractional differential inclusion with a nonlocal infinite-point or Riemann–Stieltjes integral boundary conditions

Document Type : Research Paper

Authors

1 Department of Mathematics, Lebanese International University, Saida, Lebanon

2 Department of Mathematics, The International University of Beirut, Saida, Lebanon

Abstract

Here, we investigate the existence of solutions for the initial value problem of fractional-order differential inclusion containing a nonlocal infinite-point or Riemann–Stieltjes integral boundary conditions. A sufficient condition for the uniqueness of the solution is given. The continuous dependence of the solution on the set of selections and on some data is studied. At last, examples are designed to illustrate the applicability of the theoretical results.

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References

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Journal of Mahani Mathematical Research
Volume 13, Issue 1 - Serial Number 26
November 2023
Pages 85-109

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History

  • Receive Date: 13 September 2022
  • Revise Date: 08 March 2023
  • Accept Date: 22 April 2023

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