Abstract
In this paper the existence of unique positive solutions for system of (p,q,r)-Lapalacian Sturm-Liouville type two-point fractional order boundary vaue problems is established by an application of n-fixed point theorem of ternary operators on partially ordered metric spaces.
Highlights
Fractional calculus is deeply related to the dynamics of complicated real-world problems
Many mathematical models are accurately governed by fractional order dierential equations
There are certain papers and monographs dealing with the existence, uniqueness, multiple solutions and positive solutions of fractional order nonlinear boundary value problems, see [3, 6, 8, 7, 9, 13, 14, 15, 16, 17, 24, 25, 26] and references therein
Summary
Fractional calculus is deeply related to the dynamics of complicated real-world problems. The study of turbulent ow through porous media is important for a wide range of scientic and engineering applications such as uidized bed combustion, compact heat exchangers, combustion in an inert porous matrix, high temperature gas-cooled reactors, chemical catalytic reactors [5] and drying of dierent products such as iron ore [12] To study such type of problems, Leibenson [11] introduced the following p-Laplacian equation, φp(u (t)) = f t, u(t), u (t) , where φp(τ) = |τ|p−2τ, p > 1, is the p-Laplacian operator its inverse function is denoted by φq(τ) with φq (τ). We provide an example to check the validity of our obtained results
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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
