Stability for impulsive implicit Hadamard fractional differential equations

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DOI:

https://doi.org/10.26637/MJM0601/0004

Abstract

In this paper, we analyze the uniqueness and stability for implicit fractional differential equations with impulsive conditions involving the hadamard derivative of fractional order $\alpha$. An illustrative example is also presented.

Keywords:

Hadamard fractional derivative, Implicit Fractional Differential equations, Impulsive condition, UH (Ulam-Hyers) stability and generalized UH (Ulam-Hyers) stability

Mathematics Subject Classification:

Mathematics
  • P. Karthikeyan Department of Mathematics, Sri Vasavi college, Erode-638 136, Tamil Nadu, India.
  • R.Arul Department of Mathematics, Sri Vasavi college, Erode-638 136, Tamil Nadu, India.
  • Pages: 28-33
  • Date Published: 01-01-2018
  • Vol. 6 No. 01 (2018): Malaya Journal of Matematik (MJM)

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Published

01-01-2018

How to Cite

P. Karthikeyan, and R.Arul. “Stability for Impulsive Implicit Hadamard Fractional Differential Equations”. Malaya Journal of Matematik, vol. 6, no. 01, Jan. 2018, pp. 28-33, doi:10.26637/MJM0601/0004.