Positive Solutions for Hadamard Fractional Differential Equations on Infinite Domain

Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas and Jessada Tariboon
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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

Chapter Chapter 10 in Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities, 2017, pp 331-346 from Springer

Abstract: 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).

Keywords: Fractional-order Boundary Value Problems; Infinite Interval Problems; Semi-infinite Porous Medium; Australian Mathematical Society; Acta Applicandae Mathematicae (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/978-3-319-52141-1_10

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