Multiple Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations on the Half-line

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作者
Zagharide Zine El Abidine
机构
[1] Université de Tunis El Manar,Faculté des Sciences de Tunis
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关键词
coupled system; Riemann–Liouville fractional derivative; positive solutions; Schäuder fixed point theorem; Primary 26A33; 34A08; Secondary 34B18; 34B40;
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摘要
In this paper, we study a boundary value problem for a coupled differential system of fractional order on the half-line. The differential operator is taken in the Riemann–Liouville sense and the nonlinear terms involve the fractional derivative of the unknown functions. Applying the Schäuder fixed point theorem, we prove the existence of infinitely many positive unbounded solutions of the fractional differential system. Also, we give examples to illustrate our main result.
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