A new class of integral-multipoint boundary value problems for nonlinear Hadamard fractional differential equations on a semiinfinite domain

作者：Nemat Nyamoradi, Bashir Ahmad, Sotiris K. Ntouyas · 发表于：Nonlinear Analysis Modelling and Control · 年份：2025 · DOI：10.15388/namc.2025.30.42121 · 被引用次数：4 · 研究领域：Nonlinear Differential Equations Analysis、Fractional Differential Equations Solutions、Differential Equations and Numerical Methods

In this paper, we introduce and investigate a new class of Hadamard fractional differential equation with integral-multipoint boundary conditions on a positive semiinfinite domain. We use the contraction mapping principle and the fixed point index theorem, respectively, to prove the uniqueness and the existence of at least two positive solutions to the given problem. Our results are new and enrich the literature on Hadamard-type fractional differential equations on unbounded domains. Some examples illustrating the main results are presented.