Generalized Liouville–Caputo Fractional Differential Equations and Inclusions with Nonlocal Generalized Fractional Integral and Multipoint Boundary Conditions

Ahmed Alsaedi, Madeaha Alghanmi, Bashir Ahmad, Sotiris Ntouyas
2018 Symmetry  
We develop the existence criteria for solutions of Liouville–Caputo-type generalized fractional differential equations and inclusions equipped with nonlocal generalized fractional integral and multipoint boundary conditions. Modern techniques of functional analysis are employed to derive the main results. Examples illustrating the main results are also presented. It is imperative to mention that our results correspond to the ones for a symmetric second-order nonlocal multipoint integral
more » ... value problem under suitable conditions (see the last section).
doi:10.3390/sym10120667 fatcat:it6dzlm375h3nnvo2jtglmiqu4