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Two fractional derivative inclusion problems via integral boundary condition

Author

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  • Agarwal, Ravi P.
  • Baleanu, Dumitru
  • Hedayati, Vahid
  • Rezapour, Shahram

Abstract

The goal of the manuscript is to analyze the existence of solutions for the Caputo fractional differential inclusion cDqx(t)∈F(t,x(t),cDβx(t)) with the boundary value conditions x(0)=0 and x(1)+x′(1)=∫0ηx(s)ds, such that 0<η<1, 11. Also, we investigate the existence of solutions for the Caputo fractional differential inclusion cDqx(t)∈F(t,x(t)) such that x(0)=a∫0νx(s)ds and x(1)=b∫0ηx(s)ds, where 0<ν, η<1, 1

Suggested Citation

  • Agarwal, Ravi P. & Baleanu, Dumitru & Hedayati, Vahid & Rezapour, Shahram, 2015. "Two fractional derivative inclusion problems via integral boundary condition," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 205-212.
    • Handle: RePEc:eee:apmaco:v:257:y:2015:i:c:p:205-212
    DOI: 10.1016/j.amc.2014.10.082
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    References listed on IDEAS

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    1. Xiaoyou Liu & Zhenhai Liu, 2012. "Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower‐Order Derivative," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. Bashir Ahmad & Ahmed Alsaedi & Sotiris K. Ntouyas & Hamed H. Al-Sulami, 2019. "On Neutral Functional Differential Inclusions involving Hadamard Fractional Derivatives," Mathematics, MDPI, vol. 7(11), pages 1-13, November.

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