Existence Criteria and Hyers-Ulam Theorem for a Coupled P-Laplacian System of Fractional Differential Equations
Vol. 5, Issue 5, PP. 76-86, May 2018
Fractional differential equations (FDEs), Hyer-Ulam stability (HUS), topological degree theory, existence and uniqueness of solutions (EUS)
Dealing with high order coupled systems of FDEs through nonlinear p-Laplacian operator. We analyze existence, uniqueness & Hyer-Ulam stability (HUS) of the solutions by means of topological degree method. For this purpose, we transform the supposed problem into an integral system via Green�s function(s) and assume certain operator equivalent to the integral form of the problem. Then after, the results are proved with some necessary assumptions.
- Kiran Tabassum: College of Science, Hohai University, 210098, Nanjing, P. R. China.e-mail: email@example.com
- Liu Xiangyang: College of Science, Hohai University, 210098, Nanjing, P. R. China. e-mail: firstname.lastname@example.org
- Syed Furqan Rafique: Department of Electrical Engineering, North China Electric Power University, Beijing, P.R.China. e-mail: email@example.com
- Irfan Jamil: College of Energy and Electrical Engineering, Hohai University, 210098, Nanjing, P.R.China. e-mail: I.firstname.lastname@example.org
Kiran Tabassum Liu Xiangyang Syed Furqan Rafique Irfan Jamil
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