Abstract
In this paper, we are concerned with the existence and uniqueness of solutions for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary condition. Our results are based on the Banach contraction mapping principle and the Krasnoselskii fixed point theorem. Some examples are also given to illustrate our results.
Highlights
Fractional differential equations appear naturally in a number of fields such as physics, chemistry, electromagnetic, engineering, control, and other branches; see [ – ] and the references therein
Impulsive differential equations arising from the real world describe the dynamics of processes in which sudden discontinuous jumps occur
Motivated by the works mentioned and many known results, in this paper, we are concerned with the existence and uniqueness of solutions for impulsive fractional integrodifferential equation of mixed type with constant coefficients and antiperiodic boundary condition
Summary
Fractional differential equations appear naturally in a number of fields such as physics, chemistry, electromagnetic, engineering, control, and other branches; see [ – ] and the references therein. The recent results on impulsive fractional differential equations can be found in [ – ] and the references therein. The boundary value problem of impulsive fractional differential equations with antiperiodic boundary conditions have been studied in the literature; see [ – ]. The authors of [ – ] investigated the following antiperiodic boundary value problem for
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
