Further investigation of stochastic nonlinear Hilfer-fractional integro-differential inclusions using almost sectorial operators

Hasanen A. Hammad, Hassen Aydi*, Doha A. Kattan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The purpose of this work is to develop a new model of fractional operators called Hilfer-fractional random nonlinear integro-differential equations. In this paradigm, a further discussion is encouraged under almost sectorial operators. The results are supported by fractional calculus, stochastic analysis theory, and Bohnenblust–Karlin’s fixed point theorem for multi-valued mappings. In addition, a mild solution to the model under consideration is presented. Ultimately, an example is provided to support our results.

Original languageEnglish
Article number5
JournalJournal of Pseudo-Differential Operators and Applications
Volume15
Issue number1
DOIs
Publication statusPublished - Mar 2024
Externally publishedYes

Keywords

  • Fixed point methodology
  • Fractional operators
  • Integro-differential equation
  • Random analysis
  • Sectorial operators

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