AIMS Mathematics (May 2024)

Solving delay integro-differential inclusions with applications

  • Maryam G. Alshehri,
  • Hassen Aydi,
  • Hasanen A. Hammad

DOI
https://doi.org/10.3934/math.2024790
Journal volume & issue
Vol. 9, no. 6
pp. 16313 – 16334

Abstract

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This work primarily delves into three key areas: the presence of mild solutions, exploration of the topological and geometrical makeup of solution sets, and the continuous dependency of solutions on a second-order semilinear integro-differential inclusion. The Bohnenblust-Karlin fixed-point method has been integrated with Grimmer's theory of resolvent operators. Ultimately, the study delves into a mild solution for a partial integro-differential inclusion to showcase the achieved outcomes.

Keywords