Solving delay integro-differential inclusions with applications

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)16313-16334
Number of pages22
JournalAIMS Mathematics
Volume9
Issue number6
DOIs
Publication statusPublished - 2024
Externally publishedYes

Keywords

  • fixed point technique
  • mild solution
  • partial integro-differential inclusion
  • semilinear integro-differential inclusion

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