Nonlinear Singular P-Laplacian Boundary Value Problems in the Frame of Conformable Derivative
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Date
2021
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Amer inst Mathematical Sciences-aims
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GOLD
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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.
Description
Keywords
Conformable Derivative, Necessary And Suf-Ficient Condition, Multipoint Boundary Value Problem, Singular Nonlinear Boundary Value Problem, P-Laplace Operator, Positive Solution, Upper And Lower Solutions Method, Fixed Point Theorems, Cone, Local Fractional Derivative, \(p\) -Laplace operator, Singular nonlinear boundary value problems for ordinary differential equations, upper and lower solutions method, conformable derivative, Fractional ordinary differential equations, Positive solutions to nonlinear boundary value problems for ordinary differential equations, multipoint boundary value problem, cone, fixed point theorems, Fixed-point theorems, Fractional derivatives and integrals, positive solution, Green's functions for ordinary differential equations, singular nonlinear boundary value problem, local fractional derivative, necessary and sufficient condition
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Fields of Science
0101 mathematics, 01 natural sciences
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.
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
2
Source
Discrete and Continuous Dynamical Systems - Series S
Volume
14
Issue
10
Start Page
3497
End Page
3528
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