Existence and Uniqueness of solutions of Fractional Order Hybrid Differential Equations with Nonlocal Conditions

Authors

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

Keywords:

Fractional Differential Equations, Hybrid Systems, Fixed Point Theorem

Abstract

In this article we derive sufficient conditions for existence and uniqueness of mild solution of the hybrid fractional order differential equation of the form. On a partially ordered Banach space X. The results are obtained using Dhange’s fixed point theorem. Example is added to show efficacy of the method.

References

International Journal of Scientific Research in Science, Engineering and Technology

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Published

2018-04-10

Issue

Volume 4, Issue 5, March-April-2018

Section

Research Articles

License

Copyright (c) IJSRSET

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Hari R. Kataria, Prakashkumar H. Patel "Existence and Uniqueness of solutions of Fractional Order Hybrid Differential Equations with Nonlocal Conditions" International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 4, Issue 5, pp.01-06, March-April-2018.