Twin positive solutions to the RL-type nonlinear FBVPs with $p$-Laplacian operator

	Twin positive solutions to the RL-type nonlinear FBVPs with $p$-Laplacian operator
International Journal of Nonlinear Analysis and Applications
مقاله 21، دوره 14، شماره 12، اسفند 2023، صفحه 263-274 اصل مقاله (424.05 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.26331.3296
نویسندگان
Boddu Muralee Bala Krushna^* ¹؛ Kapula Rajendra Prasad²
¹Department of Mathematics, MVGR College of Engineering, Vizianagaram, 535 005, India
²Department of Applied Mathematics, Andhra University, Visakhapatnam, 530 003, India
چکیده
In this work, we establish the existence of at least two positive solutions for a coupled system of $p$-Laplacian fractional-order boundary value problems. Establishing the existence of positive solutions to the problem is challenging for a variety of reasons, the most important of which is a lack of compatibility with the kernel. To address these issues, we have included the necessary conditions for overcoming certain methodological hurdles on the kernel as well as adapting to the problem's nature of positivity. The method is based on the AH functional fixed point theorem.
کلیدواژه‌ها
Fractional derivative؛ boundary value problem؛ $p$-Laplacian؛ Integral equation؛ Kernel؛ positive solution
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