Existence results for nonlocal fractional mixed type integro-differential equations with non-instantaneous impulses in Banach space

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DOI:

https://doi.org/10.26637/MJM0704/0034

Abstract

The main aim of this manuscript is to analyze the existence and uniqueness of PC-mild solution of nonlocal
fractional mixed type integro-differential equations with non-instantaneous impulses in Banach space. Based on the Banach contraction principle, we develop the main results. An example is ultimately given for the theoretical results to be justified.

Keywords:

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

Mathematics Subject Classification:

Mathematics
  • Pages: 837-840
  • Date Published: 01-10-2019
  • Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)

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Published

01-10-2019

How to Cite

M. Mallika Arjunan. “Existence Results for Nonlocal Fractional Mixed Type Integro-Differential Equations With Non-Instantaneous Impulses in Banach Space”. Malaya Journal of Matematik, vol. 7, no. 04, Oct. 2019, pp. 837-40, doi:10.26637/MJM0704/0034.