Existence of Mild solutions of Fractional order Hybrid Deferential Equations with Impulses

Authors

  • Prakashkumar H. Patel  Department of Mathematics, Faculty of Science, The M. S. University of Baroda, Vadodara, Gujarat, India

DOI:

https://doi.org/10.32628/IJSRSET218375

Keywords:

Deferential Equations, Hybrid Dynamical System, Integro-Differential Equation

Abstract

This article derive sufficient conditions for existence of mild solution for the hybrid fractional order differential equation with impulses of the form eq1 on a Banach space X over interval [0,T]. The results are obtained using the concept of hybrid fixed point theorem. Finally an illustration is added to show validation of the derived results.

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2019-04-30

Issue

Volume 6, Issue 2, March-April-2019

Section

Research Articles

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How to Cite

[1]
Prakashkumar H. Patel "Existence of Mild solutions of Fractional order Hybrid Deferential Equations with Impulses" International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 6, Issue 2, pp.718-725, March-April-2019. Available at doi : https://doi.org/10.32628/IJSRSET218375