In this paper, we explain the approximate controllability of Ψ-Hilfer fractional neutral differential equations with infinite delay. The outcome is demonstrated using the infinitesimal operator, fractional calculus, semigroup theory, and the Krasnoselskii’s fixed point theorem. To begin, we emphasise the presence of the mild solution and show that the Ψ-Hilfer fractional system is approximately controllable. Additionally, we present theoretical and practical examples.

Education is an essential factor in the development of a nation. We should make it appropriate according to the changing scenario of the country. Learning is an opportunity to reflect upon the social, economic, cultural, and moral issues faced by human beings. Nowadays most of the institutions are working only for a degree, students and teachers are running after attaining or providing degrees, and not towards knowledge and wisdom. A good teacher can bring the entire world to the classroom. The overall scenario of higher education in India does not match the global quality standards. Education has to develop appropriately according to the time and changing scenarios of the world. It contributes to national development through specialized knowledge and skills. So, higher education has to come out of the static environment and become more dynamic and more futuristic. The solution to all the problems is providing quality education, and teachers are the main ingredients in giving quality education.

The proposed explorative study utilizes the partial least squares-structural equation modeling (PLS-SEM) for the testing of the auxiliary relationship lies in the factors focusing on the respondent's pioneering aim. This study examines student's learning desire in entrepreneurship, the value addition on student, impact on the student career path from employment to ownership, the impact on society, and the state-of-the-art practices for training thereby getting the suitable aptitudes and related information. This assists the communities to change their focus from employment to entrepreneurship. Hence, creating enterprises encompassing personality enrichment and better insights through training will promote significant benefits to the growing society.