Abstract
In this paper, we investigate the existence of extremal solutions for fractional differential systems involving the p-Laplacian operator and Riemann-Liouville integral boundary conditions. We derive our results based on the monotone iterative technique, combined with the method of upper and lower solutions. An example is added to illustrate the main result.
Highlights
1 Introduction In this paper, we study the existence of extremal solutions of the following fractional differential systems involving the p-Laplacian operator and Riemann-Liouville integral boundary conditions:
He Advances in Difference Equations (2018) 2018:3 monotone iteration method, Ding [15] investigated a fractional boundary value problem with p-Laplacian operator
We consider a kind of fractional differential equations involving pLaplacian operators and nonlocal boundary conditions based on the Riemann-Liouville integral
Summary
1 Introduction In this paper, we study the existence of extremal solutions of the following fractional differential systems involving the p-Laplacian operator and Riemann-Liouville integral boundary conditions: He Advances in Difference Equations (2018) 2018:3 monotone iteration method, Ding [15] investigated a fractional boundary value problem with p-Laplacian operator Where 0 < α, β ≤ 1, 1 < α + β ≤ 2, and Dα is the standard Riemann-Liouville fractional derivative, and established the existence and uniqueness of extremal solutions for the BVP (1.2) under the condition that the nonlinear functions f and g are continuous and satisfy certain growth conditions. Zhang [16] considered the following nonlinear fractional integral boundary value problem:
Sign-in/Register to view highlights & summary 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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
