Solvability of coupled systems of hybrid fractional differential equations and inclusions
by Nana Jin; Shurong Sun
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 8, No. 4, 2018

Abstract: In this paper, we investigate the boundary value problems of the coupled systems of hybrid fractional differential equations and inclusions with coupled boundary conditions involving Caputo fractional derivative. By means of Leary-Schauder alternative and Bohnenblust-Karlin fixed point theorem, some results concerning the existence of solutions are obtained. At the same time, we also give the relationship between solutions and upper and lower solutions. Finally, examples are presented to illustrate our main results.

Online publication date: Fri, 16-Nov-2018

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