Existence and uniqueness results for generalized fractional integrodifferential equations with nonlocal terminal condition

Document Type : Research Paper

Authors

1 Department of Mathematics, N. B. N. Sinhgad College of Engineering, Kegaon-Solapur-413255, India.

2 Department of Mathematics, D. B. F. Dayanand College of Arts and Science, Solapur-413002, India.

3 Department of Mathematics, Shivaji University, Kolhapur-416004, India.

Abstract

In this study, we give results on the existence and uniqueness of solutions for generalized fractional integrodifferential equations with a nonlocal terminal condition. We have proved the existence of solutions to the problem proposed using the Schauder fixed point theorem and the uniqueness of its solutions is proved using the Banach fixed point theorem. At the end, we discussed the examples to support our results.

Keywords

References

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Computational Methods for Differential Equations
Volume 12, Issue 1
January 2024
Pages 89-99

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History

  • Receive Date: 30 August 2022
  • Revise Date: 22 June 2023
  • Accept Date: 28 June 2023

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