Monotone iterative sequences for positive solutions of a p-Laplacian Hadamard fractional boundary value problem on an unbounded domain
Makaleler > Tam Makale · 2026
Yazarlar: Fulya YÖRÜK DEREN, Tugba Senlik Cerdik, Ravi P. Agarwal
Nonlinear Analysis: Modelling and Control, Uluslararası, Wos, 2026, cilt 31, ss 131-159
DOI: 10.15388/namc.2026.31.44238
Özet
In this paper, we ensure the existence and uniqueness of positive solutions for a Hadamard fractional boundary value problem with the p-Laplacian operator on an unbounded domain. The problem is formulated as a nonlinear differential equation involving a fractional derivative of order ℓ ∈ (n – 1, n], n ∈ N, along with boundary conditions of the Hadamard fractional integral and derivative. Using the monotone iterative technique, we establish the existence of positive solutions by constructing monotone sequences that approach the solution. An error estimation formula is provided. An example is also discussed to illustrate the main result.