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Impulsive fractional q-integro-difference equations with separated boundary conditions

Author

Listed:
  • Ahmad, Bashir
  • Ntouyas, Sotiris K.
  • Tariboon, Jessada
  • Alsaedi, Ahmed
  • Alsulami, Hamed H.

Abstract

In this paper, we discuss the existence of solutions for impulsive fractional q-integro-difference equations with separated boundary conditions. Existence results are proved via fixed point theorems due to Krasnoselskii and O’Regan, while the uniqueness of solutions is accomplished by means of Banach’s contraction mapping principle. Examples illustrating the obtained results are also presented.

Suggested Citation

  • Ahmad, Bashir & Ntouyas, Sotiris K. & Tariboon, Jessada & Alsaedi, Ahmed & Alsulami, Hamed H., 2016. "Impulsive fractional q-integro-difference equations with separated boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 199-213.
    • Handle: RePEc:eee:apmaco:v:281:y:2016:i:c:p:199-213
    DOI: 10.1016/j.amc.2016.01.051
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    Citations

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    Cited by:

    1. Sudsutad, Weerawat & Ahmad, Bashir & Ntouyas, Sotiris K. & Tariboon, Jessada, 2016. "Impulsively hybrid fractional quantum Langevin equation with boundary conditions involving Caputo qk-fractional derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 47-62.
    2. Chao Wang & Ravi P. Agarwal & Donal O’Regan, 2019. "δ -Almost Periodic Functions and Applications to Dynamic Equations," Mathematics, MDPI, vol. 7(6), pages 1-27, June.
    3. Sina Etemad & Sotiris K. Ntouyas & Bashir Ahmad, 2019. "Existence Theory for a Fractional q -Integro-Difference Equation with q -Integral Boundary Conditions of Different Orders," Mathematics, MDPI, vol. 7(8), pages 1-15, July.

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