Existence and uniqueness of fractional mixed type integro-differential equations with non-instantaneous impulses through sectorial operator

M. Mallika Arjunan

doi:10.26637/MJM0704/0040

Abstract

The key purpose of this paper is to examine the existence and uniqueness 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 Banach contraction principle, we develop the main results. At the end, an example is offered to explain theoretical outcomes

Keywords:

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

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

M. Mallika Arjunan Department of Mathematics, Vel Tech High Tech Dr. Rangarajan Dr. Sakunthala Engineering College, Avadi-600062, Tamil Nadu, India

Pages: 867-870
Date Published: 01-10-2019
Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)

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