Existence theory and stability analysis to the system of infinite point fractional order BVPs by multivariate best proximity point theorem

Author(s):

Khuddush Mahammad * , Rajendra Prasad Kapulinda , Doddi Leela

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

This paper deals with the existence of solutions to the system of nonlinear infinite-point fractional order boundary value problems by an application of n-best proximity point theorem in a complete metric space. Further, we study Hyers-Ulam stability of the addressed system. An appropriate example is given to demonstrate the established results.

Keywords:

Fractional derivative , boundary value problem , n-best proximity point theorem , metric space , Hyers-Ulam stability

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:13 Issue: 2, Summer-Autumn 2022
Pages:
1713 to 1733
https://www.magiran.com/p2465517