| Volume 8, Number 4, 2018, Pages 1211-1226 DOI：10.11948/2018.1211 |
| Existence theorems and Hyers-Ulam stability for a class of Hybrid fractional differential equations with $p$-Laplacian operator |
| Hasib Khan,Cemil Tunc,Wen Chen,Aziz Khan |
| Keywords:Hybrid fractional differential equations, Hyers-Ulam stability, Caputo''s fractional derivative, existence and uniqueness, topological degree theory. |
| 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. |
PDF Download reader
|
|
|
|