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ISSN E 2409-2770
ISSN P 2521-2419

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

DOI

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

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  • 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.

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

Kiran Tabassum Liu Xiangyang Syed Furqan Rafique Irfan Jamil


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