Existence theory and stability analysis to the system of infinite point fractional order BVPs by multivariate best proximity point theorem | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 138، دوره 13، شماره 2، مهر 2022، صفحه 1713-1733 اصل مقاله (491.71 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25945.3167 | ||
| نویسندگان | ||
| Khuddush Mahammad* 1؛ Rajendra Prasad Kapulinda2؛ Doddi Leela2 | ||
| 1Department of Mathematics, Dr. Lankapalli Bullayya College of Engineering, Resapuvanipalem, Visakhapatnam, 530013, India | ||
| 2Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India | ||
| 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 | ||
| مراجع | ||
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