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September 10, 2025Filomat0 citationsOpen Access

Hyers-Ulam stability of non-linear Volterra-Fredhlom integro-differential equations via successive approximation method

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RSRahim ShahLWLaiba WajidZHZainab Hameed

Key Points

  • The research shows new stability results for non-linear integro-differential equations.
  • Main findings include applications of the successive approximation method in solving fractional equations.
  • Methodological approaches highlight boundary conditions for integro-differential equations.
  • This research emphasizes practical examples illustrating the theoretical results obtained.

Abstract

In this work, we examine the Hyers-Ulam and Hyers-Ulam-Rassias stability of non-linear Volterra-Fredhlom integro-differential equations of fractional order with boundary conditions using the suc-cessive approximation approach. This study investigates a boundary value problem involving a non-linear Volterra-Fredholm integro-differential equations of fractional order, along with its boundary conditions. The main results are demonstrated through several examples.

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Cite This Study

Shah et al. (2025) studied this question.

synapsesocial.com/papers/68c1c62654b1d3bfb60f19b3https://doi.org/10.2298/fil2507385s
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