Mixed Erdélyi–Kober and Caputo Fractional Differential Equations with Nonlocal Fractional Closed Boundary Conditions
Makaleler > Tam Makale · 2026
Yazarlar: Furkan Erkan, Nüket AYKUT HAMAL, Sotiris K. Ntouyas, Bashir Ahmad
Foundations, Uluslararası, 2026, cilt 6, ss 12-12
DOI: 10.3390/foundations6010012
Özet
This work focuses on the analysis of a sequential fractional boundary value problem involving coupled Erdélyi–Kober and Caputo fractional differential operators, together with nonlocal boundary conditions of fractional type. The well-posedness of the problem is addressed by deriving conditions that ensure the existence and uniqueness of solutions. Uniqueness is obtained through an application of Banach’s contraction principle, whereas existence is established by employing Krasnosel’skiĭ’s fixed point approach and the nonlinear alternative of Leray–Schauder. Several numerical examples are presented to demonstrate and support the theoretical findings.