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Existence Of Solution To A Boundary Value Problem Of Hybrid Fractio nal Differential Equations Using Degree Method

Author

Listed:
  • Ghulam Hussain

    (Department of Mathematics, University of Malakand, Chakadara, Dir (L), Khyber Pakhtunkhwa, Pakistan)

  • Rahmat Ali Khan

    (Department of Mathematics, University of Malakand, Chakadara, Dir (L), Khyber Pakhtunkhwa, Pakistan)

Abstract

The main purpose of this research paper is to prove the existence of solution to the hybrid differential equation of order which satisfied some growth conditions. The concerned results are obtained via using prior estimate method known as topological degree method. In order to prove the existence of fixed point for We prove this by using condensing and boundness for T

Suggested Citation

  • Ghulam Hussain & Rahmat Ali Khan, 2018. "Existence Of Solution To A Boundary Value Problem Of Hybrid Fractio nal Differential Equations Using Degree Method," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 2(1), pages 24-28, January.
  • Handle: RePEc:zib:zbmsmk:v:2:y:2018:i:1:p:24-28
    DOI: 10.26480/msmk.01.2018.24.28
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    References listed on IDEAS

    as
    1. Shah, Kamal & Khalil, Hammad & Khan, Rahmat Ali, 2015. "Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 240-246.
    2. Khalil, Hammad & Khan, Rahmat Ali & Shah, Kamal, 2015. "Corrigendum to “Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations” [Chaos, Solitons & Fractals Volume 77," Chaos, Solitons & Fractals, Elsevier, vol. 78(C), pages 329-330.
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