"Upper and Lower Solutions to a Coupled System of Nonlinear Fractional " by Kamal Shah, Hammad Khalil et al.

Progress in Fractional Differentiation & Applications

Article Title

Upper and Lower Solutions to a Coupled System of Nonlinear Fractional Differential Equations

Authors

Kamal Shah, Department of Mathematics, University of Malakand, Chakdara Dir(Lower), Khyber, Pakhtunkhwa, PakistanFollow
Hammad Khalil
Rahmat Ali Khan

Author Country (or Countries)

Pakistan

Abstract

In this article, we investigate upper and lower solutions to a system of coupled nonlinear fractional differential equations with multi-point coupled boundary conditions. Using monotone type iterative techniques combined with the upper and lower solutions method, some necessary and sufficient conditions are developed to guarantee existence of multiple solutions of the problem. The main result is demonstrated by analyzing two test problems.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/020104

Recommended Citation

Shah, Kamal; Khalil, Hammad; and Ali Khan, Rahmat (2016) "Upper and Lower Solutions to a Coupled System of Nonlinear Fractional Differential Equations," Progress in Fractional Differentiation & Applications: Vol. 2: Iss. 1, Article 4.
DOI: http://dx.doi.org/10.18576/pfda/020104
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol2/iss1/4

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