Bashir Ahmad, Sotiris K. Ntouyas, Ahmed Alsaedi, and Fawziah M. Alotaibi. Existence Results For a Ψ-Hilfer Type Nonlocal Fractional Boundary Value Problem via Topological Degree Theory. Dynamic Systems and Applications 30 (2021) No. 7, 1091-1103

https://doi.org/10.46719/dsa20213072

ABSTRACT.
We investigate a boundary value problem for fractional differential equations involving Ψ-Hilfer fractional derivative, supplemented with nonlocal multi-point boundary conditions. Sadovski and Isaia’s fixed point theorems, which are based on measure of non-compactness and degree theory, are applied to obtain the existence results for the problem at hand.

AMS (MOS) Subject Classication. 26A33; 34A08; 34B15.