Existence and boundary behaviour of positive solutions for a coupled fractional system
by Imen Ben Saad; Sameh Turki; Zagharide Zine El Abidine
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 12, No. 3, 2022

Abstract: We consider the following semilinear fractional system

where α, β ∈ (0,1), a, b ∈ (-1, 1), r, s ∈ ℝ such that (1 -|a|)(1 - |b|) - |rs| > 0,D^α,D^β are the Riemann-Liouville fractional derivatives of orders α, β and the nonlinearities p, q are positive measurable functions on (0, 1). Applying the Schäuder fixed point theorem, we establish the existence and the boundary behaviour of positive solutions in the space of weighted continuous functions.

Online publication date: Fri, 02-Sep-2022

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