RESEARCH ARTICLE
Controllability of (k,ϕ)-Hilfer Fractional Differential Equation With Infinite Delay
Ananta Thakur,
Javid Ali,
Ananta Thakur
Department of Mathematics, Aligarh Muslim University, Aligarh, India
Contribution: Conceptualization, Writing - original draft, Methodology
Search for more papers by this authorCorresponding Author
Javid Ali
Department of Mathematics, Aligarh Muslim University, Aligarh, India
Correspondence:
Javid Ali ([email protected])
Contribution: Conceptualization, Investigation, Writing - review & editing, Supervision
Search for more papers by this authorAnanta Thakur,
Javid Ali,
Ananta Thakur
Department of Mathematics, Aligarh Muslim University, Aligarh, India
Contribution: Conceptualization, Writing - original draft, Methodology
Search for more papers by this authorCorresponding Author
Javid Ali
Department of Mathematics, Aligarh Muslim University, Aligarh, India
Correspondence:
Javid Ali ([email protected])
Contribution: Conceptualization, Investigation, Writing - review & editing, Supervision
Search for more papers by this authorFirst published: 04 May 2025
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.
Conflicts of Interest
The authors declare no conflicts of interest.
Open Research
Data Availability Statement
The authors have nothing to report.
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