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Positive Solutions for Hadamard Fractional Differential Equations on Infinite Domain

In: Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

Author

Listed:
  • Bashir Ahmad

    (King Abdulaziz University, Department of Mathematics)

  • Ahmed Alsaedi

    (King Abdulaziz University, Department of Mathematics)

  • Sotiris K. Ntouyas

    (University of Ioannina, Department of Mathematics)

  • Jessada Tariboon

    (King Mongkut’s University of Technology North Bangkok, Department of Mathematics)

Abstract

Boundary value problems on semi-infinite/infinite intervals often appear in applied mathematics and physics. Examples include unsteady flow of gas through a semi-infinite porous medium, the drain flow problems, etc. More details and works concerning the existence of solutions for boundary value problems on infinite intervals for differential, difference and integral equations may be found in the monographs (Agarwal and O’Regan, Infinite Interval Problems for Differential, Difference and Integral Equations. Kluwer Academic, Dordrecht, 2001; O’Regan, Theory of Singular Boundary Value Problems. World Scientific, River Edge, 1994). For details on fractional order boundary value problems on infinite domain, we refer the reader to a series of papers (Liang and Zhang, Mathematical and Computer Modelling 54:1334–1346, 2011; Thiramanus et al. Boundary Value Problems 2015:196, 2015; Zhang and Ahmad, Journal of Computational and Applied Mathematics 249:51–56, 2013; Zhang and Ahmad, Bulletin of the Australian Mathematical Society 91:116–128, 2015; Zhang and Ahmad, Applied and Computational Mathematics 15:149–158, 2016; Zhang et al. Abstract and Applied Analysis, 2013:Article ID 813903; Zhao and Ge, Acta Applicandae Mathematicae, 109:495–505, 2010).

Suggested Citation

  • Bashir Ahmad & Ahmed Alsaedi & Sotiris K. Ntouyas & Jessada Tariboon, 2017. "Positive Solutions for Hadamard Fractional Differential Equations on Infinite Domain," Springer Books, in: Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities, chapter 0, pages 331-346, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-52141-1_10
    DOI: 10.1007/978-3-319-52141-1_10
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