Abstract
In this paper, we construct a new generalized result to study the existence of solutions of nonlinear fractional boundary value problems (FBVPs). The proposed results unify the existence criteria of certain FBVPs including periodic and antiperiodic as special cases that have been previously studied separately in the literature. The method we employ is topological in its nature and manifests themselves in the forms of differential inequalities (lower and upper solutions, and coupled lower and upper solutions (CLUSs)). Two examples are given to demonstrate the applicability of the developed theoretical results.
Acknowledgements
The authors would like to thank the anonymous referees and the handling editor for many useful comments and suggestions, leading to a substantial improvement of the presentation of this article.
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: This work was supported by nonlinear Analysis group, Virtual University of Pakistan.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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