Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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ANALYSIS OF EXISTENCE AND STABILITY RESULTS FOR FRACTIONAL IMPULSIVE 𝔍-HILFER FREDHOLM-VOLTERRA MODELS

  • Received : 2023.07.12
  • Accepted : 2023.09.10
  • Published : 2024.03.15
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Abstract

In this paper, we investigate the suitable conditions for the existence results for a class of 𝔍-Hilfer fractional nonlinear Fredholm-Volterra models with new conditions. The findings are based on Banach contraction principle and Schauder's fixed point theorem. Also, the generalized Hyers-Ulam stability and generalized Hyers-Ulam-Rassias stability for solutions of the given problem are provided.

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References

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