On solvability of coupled hybrid system of quadratic fractional integral equations

Authors

  • Kazem Ghanbari
  • Yousef Gholami

DOI:

https://doi.org/10.5556/j.tkjm.47.2016.1943

Keywords:

Fractional calculus, Integral equations, Fixed point theory, Positive solution.

Abstract

Of concern is studying solvability of the hybrid systems of quadratic fractional integral equations. To this aim applying hybrid fixed point theory due to $Dhage$, existence of at least one positive solution for mentioned systems via so called D-Lipschitzian mappings will be concluded . We illustrate the obtained results by presenting an example.

Author Biographies

Kazem Ghanbari

Department of Mathematics, Sahand University of Technology, P. O. Box: 51335-1996, Tabriz, Iran.

Yousef Gholami

Department of Mathematics, Sahand University of Technology, P. O. Box: 51335-1996, Tabriz, Iran.

References

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Published

2016-09-30

How to Cite

Ghanbari, K., & Gholami, Y. (2016). On solvability of coupled hybrid system of quadratic fractional integral equations. Tamkang Journal of Mathematics, 47(3), 279-288. https://doi.org/10.5556/j.tkjm.47.2016.1943

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