Controllability of (k,ϕ)‐Hilfer Fractional Differential Equation With Infinite Delay
ABSTRACT In this work, we determine a mild solution for the Hilfer differential equation, which comprises two characteristic operators related to the semigroup and certain probability density functions. By using Mönch fixed‐point theorem and the noncompactness measure, we provide a set of sufficient conditions for the controllability of ‐Hilfer fractional differential equation with infinite delay.
Authors
- Javid Ali (ORCID: https://orcid.org/0000-0003-0904-1426)
- Ananta Thakur (ORCID: https://orcid.org/0009-0008-4440-8143)
Institutions
- Aligarh Muslim University (IN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-05-04
- DOI
- https://doi.org/10.1002/mma.10999
- Citations
- 1
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 3.73