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Initial and Boundary Value Problems for Hybrid Hadamard Fractional Differential Equations and Inclusions

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Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

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Abstract

This chapter is devoted to the study of initial and boundary value problems of hybrid fractional differential equations and inclusions involving Hadamard derivative and integral. Several existence results for local and nonlocal cases of the given problems are obtained.

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References

  1. Ahmad, B., and S.K. Ntouyas. 2014. Initial value problems for hybrid Hadamard fractional differential equations. Electronic Journal of Differential Equations 2014(161):1–8.

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  2. Ahmad, B., and S.K. Ntouyas. 2014. An existence theorem for fractional hybrid differential inclusions of Hadamard type with Dirichlet boundary conditions. Abstract and Applied Analysis 2014:Article ID 705809:7 pp.

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  3. Ahmad, B., and S.K. Ntouyas. 2014. An existence theorem for fractional hybrid differential inclusions of Hadamard type. Dissc. Math. Diff. Incl. Contr. Optim. 34:207–218.

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  4. Ahmad, B., and S.K. Ntouyas. 2015. Nonlocal boundary value problems for hybrid fractional differential equations and inclusions of Hadamard type. Fractional Differential Calculus 5:107–123.

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  5. Ahmad, B., and S.K. Ntouyas. 2014. An existence theorem for fractional hybrid differential inclusions of Hadamard type with Dirichlet boundary conditions. Abstract and Applied Analysis 2014:Article ID 705809:7 pp.

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  6. Ahmad, B., and S.K. Ntouyas. 2015. On Hadamard fractional integro-differential boundary value problems. Journal of Applied Mathematics and Computing 47:119–131.

    Article  MathSciNet  MATH  Google Scholar 

  7. Ammi, M., E. El Kinani, and D. Torres. 2012. Existence and uniqueness of solutions to functional integro-differential fractional equations. Electronic Journal of Differential Equations 2012(103), 1–9.

    MathSciNet  MATH  Google Scholar 

  8. El Borai, M., and M. Abbas. 2007. On some integro-differential equations of fractional orders involving Carathéodory nonlinearities. International Journal of Mathematics 2:41–52.

    MathSciNet  MATH  Google Scholar 

  9. Zhao, Y., S. Sun, Z. Han, and Q. Li. 2011. Theory of fractional hybrid differential equations. Computers and Mathematics with Applications 62:1312–1324.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

    Bashir Ahmad & Ahmed Alsaedi

  2. Department of Mathematics, University of Ioannina, Ioannina, Greece

    Sotiris K. Ntouyas

  3. Department of Mathematics, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

    Jessada Tariboon

Authors
  1. Bashir Ahmad
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  2. Ahmed Alsaedi
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  3. Sotiris K. Ntouyas
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  4. Jessada Tariboon
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Ahmad, B., Alsaedi, A., Ntouyas, S.K., Tariboon, J. (2017). Initial and Boundary Value Problems for Hybrid Hadamard Fractional Differential Equations and Inclusions. In: Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities. Springer, Cham. https://doi.org/10.1007/978-3-319-52141-1_9

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