Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with p-Laplacian operator

Khan, HasibLi, YongjinChen, WenBaleanu, DumitruKhan, Aziz2019-12-102019-12-102017Khan, Hasib...et al. (2017). Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with p-Laplacian operator. Boundary Value Problems.1687-2770http://hdl.handle.net/20.500.12416/2143In this paper, we study the existence and uniqueness of solution (EUS) as well as Hyers-Ulam stability for a coupled system of FDEs in Caputo's sense with nonlinear p-Laplacian operator. For this purpose, the suggested coupled system is transferred to an integral system with the help of four Green functions G(alpha 1) (t, s), G(beta 1) (t, s), G(alpha 2) (t, s), G(beta 2) (t, s). Then using topological degree theory and Leray-Schauder's-type fixed point theorem, existence and uniqueness results are proved. An illustrative and expressive example is given as an application of the results.eninfo:eu-repo/semantics/openAccessCaputo's Fractional DerivativeTopological Degree TheoryExistence and UniquenessHyers-Ulam StabilityCoupled System of FdesExistence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with p-Laplacian operatorExistence Theorems and Hyers-Ulam Stability for a Coupled System of Fractional Differential Equations With P-Laplacian OperatorArticle10.1186/s13661-017-0878-6