Existence and uniqueness of solutions for nonlinear hyperbolic fractional differential equation with integral boundary conditions

  • Authors

    • Brahim Tellab Ouargla University
    • Kamel Haouam Tebessa University
    2016-01-20
    https://doi.org/10.14419/ijamr.v5i1.5239
  • Fractional Derivatives, Contraction Principle, Fixed Point Theorem, Integral Equation.
  • In this paper, we investigate the existence and uniqueness of solutions for second order nonlinear fractional differential equation with integral boundary conditions. Our result is an application of the Banach contraction principle and the Krasnoselskii fixed point theorem.

  • References

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    Tellab, B., & Haouam, K. (2016). Existence and uniqueness of solutions for nonlinear hyperbolic fractional differential equation with integral boundary conditions. International Journal of Applied Mathematical Research, 5(1), 18-23. https://doi.org/10.14419/ijamr.v5i1.5239