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Existence theorems and Hyers-Ulam stability for a class of Hybrid fractional differential equations with $p$-Laplacian operator
Authors:Hasib Khan  Cemil Tun  Wen Chen and Aziz Khan
Abstract:In this paper, we prove necessary conditions for existence and uniqueness of solution (EUS) as well Hyers-Ulam stability for a class of hybrid fractional differential equations (HFDEs) with $p$-Laplacian operator. For these aims, we take help from topological degree theory and Leray Schauder-type fixed point theorem. An example is provided to illustrate the results.
Keywords:Hybrid fractional differential equations  Hyers-Ulam stability  Caputo''s fractional derivative  existence and uniqueness    topological degree theory  
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