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Existence Of Positive Solutions To a Coupled System Of Fractional Hybrid Differential Equations

Author

Listed:
  • Ghulam Hussain

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

  • Muhammad Irfaq Khan

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

  • Muhammad Iqbal

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

Abstract

where Dα is the Caputo’s fractional derivative of order α ,1 0 and the functions f : j × R × R → R , f (0,0) = 0 and g : j × R× R → R satisfy certain conditions. The proof of the existence theorem is based on a coupled fixed-point theorem of Krasnoselskii type, which extends a fixed-point theorem of Burton. Finally, our results are illustrated by providing a counter example.

Suggested Citation

  • Ghulam Hussain & Muhammad Irfaq Khan & Muhammad Iqbal, 2018. "Existence Of Positive Solutions To a Coupled System Of Fractional Hybrid Differential Equations," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 2(1), pages 9-12, January.
    • Handle: RePEc:zib:zbmsmk:v:2:y:2018:i:1:p:9-12
    DOI: 10.26480/msmk.01.2018.09.12
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