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.
Highlights
1 Introduction Fractional differential equations have been of great interest recently
There are a large number of papers dealing with the existence of solutions of nonlinear fractional differential equations by the use of techniques of nonlinear analysis, see [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21]
Yu and Jiang [20] examined the existence of positive solutions for the following problem
Summary
Fractional differential equations have been of great interest recently. It is caused by the both intensive development of the theory of fractional calculus itself and applications, see [1,2,3,4,5,6]. Dsu = f (t, v), 0 < t < 1, Dpv = g(t, u), 0 < t < 1, where 0
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
