Solvability of Generalized Fractional Hybrid Differential Inclusions in Banach Algebras
Keywords:
differential inclusions, boundary conditions, fixed–point, generalized Caputo derivative, Banach algebraAbstract
This research paper study the solvability of hybrid fractional differential inclusions involving generalized Caputo fractional derivative with boundary conditions under certain conditions. The existence theorems are proved by using hybrid fixed–point approach in Banach algebras of Dhage, which he presented in 2006. An example, lastly, is proposed to check the efficiency of the above-mentioned theorems. The results are novel and provide extensions to some of the findings known in the literature.
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