On fractional neutral Volterra-Fredholm integro-differential systems with non-instantaneous impulses in Banach space

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DOI:

https://doi.org/10.26637/MJM0804/0156

Abstract

The primary objective of this paper is to analyze the existence of \(PC\)-mild solution of fractional neutral VolterraFredholm integro-differential systems with non-instantaneous impulses in Banach spaces. Based on the Banach contraction principle, we develop the main results. An example is given to support the validation of the theoretical results achieved.

Keywords:

Fractional neutral equations, mild solution, non-instantaneous impulses, fixed point theorem

Mathematics Subject Classification:

Mathematics
  • Pages: 2243-2247
  • Date Published: 01-10-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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Published

01-10-2020

How to Cite

M. Mallika Arjunan. “On Fractional Neutral Volterra-Fredholm Integro-Differential Systems With Non-Instantaneous Impulses in Banach Space”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 2243-7, doi:10.26637/MJM0804/0156.