Nonlinear singular p-Laplacian boundary value problems in the frame of conformable derivative
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Date
2021
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Abstract
This paper studies a class of fourth point singular boundary value problem of p-Laplacian operator in the setting of a specific kind of conformable derivatives. By using the upper and lower solutions method and fixed point theorems on cones., necessary and sufficient conditions for the existence of positive solutions are obtained. In addition, we investigate the dependence of the solution on the order of the conformable differential equation and on the initial conditions. © 2021 American Institute of Mathematical Sciences. All rights reserved.
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Keywords
Cone, Conformable Derivative, Fixed Point Theorems, Local Fractional Derivative, Multipoint Boundary Value Problem, Necessary and Sufficient Condition, P -Laplace Operator, Positive Solution, Singular Nonlinear Boundary Value Problem, Upper and Lower Solutions Method
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Citation
Bouloudene, Mokhtar...et al. (2021). "Nonlinear singular p-Laplacian boundary value problems in the frame of conformable derivative", Discrete and Continuous Dynamical Systems - Series S, Vol. 14, No. 10, pp. 3497-3528.
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Discrete and Continuous Dynamical Systems - Series S
Volume
14
Issue
10
Start Page
3497
End Page
3528