Existence Theory for (k,ψ)-Caputo Fractional Differential Inclusions with Multi-Point Closed Fractional Boundary Conditions
Makaleler > Tam Makale · 2026
Yazarlar: Furkan Erkan, Nüket AYKUT HAMAL, Sotiris K. Ntouyas, Bashir Ahmad
Mathematics Open, Uluslararası, Scopus, 2026, cilt 05
DOI: 10.1142/s2811007226500045
Özet
This paper examines a class of [Formula: see text]-Caputo type fractional differential inclusions complemented with nonlocal multi-point closed fractional boundary conditions. Both convex and non-convex cases of multivalued maps are addressed in this study. For upper semicontinuous, convex-valued maps satisfying the [Formula: see text]-Carathéodory condition, we establish an existence theorem by means of the Leray–Schauder nonlinear alternative for multivalued operators. In the non-convex setting — specifically when the multivalued map is Lipschitz continuous and contractive — existence results are obtained via the Covitz–Nadler fixed-point principle. To illustrate the effectiveness of the obtained theoretical work, examples are presented for highlighting both analytical and practical relevance of the fractional boundary value problem under consideration.