Existence Result and Uniqueness for Some Fractional Problem

Guotao Wang, Abdeljabbar Ghanmi, Samah Horrigue and Samar Madian
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Guotao Wang: School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, China
Abdeljabbar Ghanmi: Faculté des Sciences de Tunis, Université de Tunis El Manar, Tunis 1060, Tunisia
Samah Horrigue: Department of Mathematics, Higher Institute of Applied Science and Technology, University of Monastir, Monastir 5000, Tunisia
Samar Madian: Basic Sciences Department, Higher Institute for Engineering and Technology, New Damietta 34517, Egypt

Mathematics, 2019, vol. 7, issue 6, 1-12

Abstract: In this article, by the use of the lower and upper solutions method, we prove the existence of a positive solution for a Riemann–Liouville fractional boundary value problem. Furthermore, the uniqueness of the positive solution is given. To demonstrate the serviceability of the main results, some examples are presented.

Keywords: positive solution; green function; fractional differential equation; the method of lower and upper solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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