Abstract
Abstract This paper is concerned with the existence of solutions for a new class of boundary value problems involving nonlinear Liouville–Caputo type fractional differential equations of arbitrary order and nonlocal multi-point and sub-strips boundary conditions. The nonlinearity depends on the unknown function as well as its lower-order fractional derivative. The existence results are obtained with the aid of Schauder type fixed point theorem and Krasnoselskii’s fixed point theorem, while the uniqueness of solutions is established by means of classical contraction mapping principle. We also discuss some variants of the given problem.
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