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Discontinuity, Nonlinearity, and Complexity 13(1) (2024) 83--94 | DOI:10.5890/DNC.2024.03.007

Boddu Muralee Bala Krushna$^{1}$, Kapula Rajendra Prasad$^{2}$

$^1$ Department of Mathematics, MVGR College of Engineering (Autonomous), Vizianagaram, 535 005, India

$^2$ Department of Applied Mathematics, Andhra University, Visakhapatnam, 530 003, India

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Abstract

We study a coupled system of RL--type nonlinear fractional-order boundary value problems with a $p$-Laplacian operator in this paper. Using two Kernels, the considered coupled system can be transformed into an integral system. Due to the increased applicability of SFFPT to non-linear problems, sufficient conditions for the existence of positive solutions to the proposed problem are derived. Our technique for accomplishing these results is straightforward, but its application in the current context problem is new.

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