Mild solution for fractional integro-differential equations with non-instantaneous impulses through sectorial operator in Banach space

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DOI:

https://doi.org/10.26637/MJM0704/0038

Abstract

The main aim of this manuscript is to analyze the existence of PC-mild solution of fractional integro-differential equations with non-instantaneous impulses through sectorial operator 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
  • M. Mallika Arjunan Department of Mathematics, Vel Tech High Tech Dr. Rangarajan Dr. Sakunthala Engineering College, Avadi-600062, Tamil Nadu, India.
  • Pages: 858-861
  • 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 Integro-Differential Equations With Non-Instantaneous Impulses through Sectorial Operator in Banach Space”. Malaya Journal of Matematik, vol. 7, no. 04, Oct. 2019, pp. 858-61, doi:10.26637/MJM0704/0038.