Mild solution for fractional mixed type integro-differential equations with non-instantaneous impulses through sectorial operator

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DOI:

https://doi.org/10.26637/MJM0704/0036

Abstract

The main aim of this manuscript is to analyze the existence of PC-mild solution of fractional order mixed type integro-differential equations with non-instantaneous impulses in Banach space through sectorial operator. Based on the general 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: 848-851
  • 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. “Mild Solution for Fractional Mixed Type Integro-Differential Equations With Non-Instantaneous Impulses through Sectorial Operator”. Malaya Journal of Matematik, vol. 7, no. 04, Oct. 2019, pp. 848-51, doi:10.26637/MJM0704/0036.