Research article

Solving delay integro-differential inclusions with applications

  • Received: 15 February 2024 Revised: 12 April 2024 Accepted: 16 April 2024 Published: 09 May 2024
  • MSC : 26A33, 26D15, 47H08, 47H10

  • 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.

    Citation: Maryam G. Alshehri, Hassen Aydi, Hasanen A. Hammad. Solving delay integro-differential inclusions with applications[J]. AIMS Mathematics, 2024, 9(6): 16313-16334. doi: 10.3934/math.2024790

    Related Papers:

  • 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.



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