Mawhin’s Continuation Technique for a Nonlinear BVP of Variable Order at Resonance via Piecewise Constant Functions

Mawhin’s Continuation Technique for a Nonlinear BVP of Variable Order at Resonance via Piecewise Constant Functions

In this paper, we establish the existence of solutions to a nonlinear boundary value problem (BVP) of variable order at resonance. The main theorem in this study is proved with the help of generalized intervals and piecewise constant functions, in which we convert the mentioned Caputo BVP of fractio...

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Bibliographic Details
Main Authors: Shahram Rezapour, Mohammed Said Souid, Sina Etemad, Zoubida Bouazza, Sotiris K. Ntouyas, Suphawat Asawasamrit, Jessada Tariboon
Format: Article
Language:English
Published: MDPI AG 2021-11-01
Series:Fractal and Fractional
Subjects:
piecewise constant function
Mawhin’s continuation technique
variable order
resonance
existence
Online Access:https://www.mdpi.com/2504-3110/5/4/216

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