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

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  • Hari R. Kataria
  • Prakashkumar H. Patel

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.

Suggested Citation

  • Hari R. Kataria & Prakashkumar H. Patel, 2018. "Existence and Uniqueness of solutions of Fractional Order Hybrid Differential Equations with Nonlocal Conditions," International Journal of Scientific Research in Science, Engineering and Technology, International Journal of Scientific Research in Science, Engineering and Technology, vol. 4(5), pages 01-06, April.
    • Handle: RePEc:ijs:ijsrse:v4:y2018:i5:id:has001
    Note: Article URL: https://ijsrset.com/AS001
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