Author:
Zhao Yige,Sun Shurong,Han Zhenlai,Feng Wenquan
Abstract
Abstract
In this article, we study the existence of positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders
"Equation missing"
where 2 < α ≤ 3, 3 < β ≤ 4, "Equation missing", "Equation missing" are the standard Riemann-Liouville fractional derivative, and f, g : [0, 1] × [0, +∞) → [0, +∞) are given continuous functions, f(t, 0) ≡ 0, g(t, 0) ≡ 0. Our analysis relies on fixed point theorems on cones. Some sufficient conditions for the existence of at least one or two positive solutions for the boundary value problem are established. As an application, examples are presented to illustrate the main results.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference33 articles.
1. Miller KS, Ross B: An Introduction to the Fractional Calculus and Fractional Differential Equation. Wiley, New York; 1993.
2. Oldham KB, Spanier J: The Fractional Calculus. Academic Press, New York; 1974.
3. Podlubny I: Fractional Differential Equations, Mathematics in Science and Engineering. Academic Press, New York, Lindon, Toronto; 1999.
4. Samko SG, Kilbas AA, Marichev OI: Fractional Integral and Derivative. In Theory and Applications. Gordon and Breach, Yverdon; 1993.
5. Kilbas AA, Trujillo JJ: Differential equations of fractional order: methods, results and problem. I Appl Anal 2001, 78: 153-192.
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