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

نویسندگان
Kapulinda, Rajendra Prasad ID 1
Leela, Doddi ID 2
Mahammad, Khuddush ID 3

1 Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India

2 Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India

3 Department of Mathematics, Dr. Lankapalli Bullayya College of Engineering, Resapuvanipalem, Visakhapatnam, 530013, India

doi
10.22075/ijnaa.2022.25945.3167
چکیده

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.

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