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

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DOI:

https://doi.org/10.26637/MJM0804/0150

Abstract

The key purpose of this manuscript is to examine 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 general Banach contraction principle, we develop the main results.

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: 2204-2207
  • 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. “Existence of Solutions of Nonlocal Fractional Mixed Type Integro-Differential Equations With Non-Instantaneous Impulses in Banach Space”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 2204-7, doi:10.26637/MJM0804/0150.