**
Volume 2018 **
Existence Criteria and Hyers-Ulam Theorem for a Coupled P-Laplacian System of Fractional Differential Equations

(International Journal of Engineering Works)

Vol. 5, Issue 5, PP. 76-86, May 2018

**Keywords: **Fractional differential equations (FDEs), Hyer-Ulam stability (HUS), topological degree theory, existence and uniqueness of solutions (EUS)

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## Abstract

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.

## Author

- Kiran Tabassum: College of Science, Hohai University, 210098, Nanjing, P. R. China.e-mail: kirantabassam@gmail.com
- Liu Xiangyang: College of Science, Hohai University, 210098, Nanjing, P. R. China. e-mail: liuxy@hhu.edu.cn
- Syed Furqan Rafique: Department of Electrical Engineering, North China Electric Power University, Beijing, P.R.China. e-mail: syedfurqan@ncepu.edu.cn
- Irfan Jamil: College of Energy and Electrical Engineering, Hohai University, 210098, Nanjing, P.R.China. e-mail: I.jamil@hhu.edu.cn

## Full Text

## Cite

Kiran Tabassum, Liu Xiangyang, Syed Furqan Rafique, Irfan Jamil, "Existence Criteria and Hyers-Ulam Theorem for a Coupled P-Laplacian System of Fractional Differential Equations"* International Journal of Engineering Works*, Vol. 5, Issue 5, PP. 76-86, May 2018.

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