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.
|Journal of Pseudo-Differential Operators and Applications
|Published - Mar 2024
- Fixed point methodology
- Fractional operators
- Integro-differential equation
- Random analysis
- Sectorial operators