Revisiting Generalized Caputo Derivatives in the Context of Two-Point Boundary Value Problems With the P-Laplacian Operator at Resonance
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Date
2023
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Springer
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Abstract
The novelty of this paper is that, based on Mawhin's continuation theorem, we present some sufficient conditions that ensure that there is at least one solution to a particular kind of a boundary value problem with the p-Laplacian and generalized fractional Caputo derivative.
Description
Panda, Sumati Kumari/0000-0002-0220-8222
ORCID
Keywords
Two-Point Boundary Value Problem, Generalized Caputo Derivative, P-Laplacian, Resonance, Coincidence Degree, Mawhin'S Continuation Theorem, Operator (biology), Resonance, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, Context (archaeology), Differential equation, Numerical Methods for Singularly Perturbed Problems, FOS: Mathematics, Boundary value problem, Biology, Anomalous Diffusion Modeling and Analysis, Two-point boundary value problem, QA299.6-433, Numerical Analysis, Applied Mathematics, p-Laplacian, Generalized Caputo derivative, Mawhin’s continuation theorem, Fractional calculus, Pure mathematics, Coincidence degree, Continuation, Paleontology, Partial differential equation, Applied mathematics, Partial derivative, Computer science, Programming language, Chemistry, Boundary Value Problems, Laplace operator, Modeling and Simulation, Physical Sciences, Repressor, Transcription factor, Analysis, Mathematics, Ordinary differential equation, Nonlinear boundary value problems for ordinary differential equations, generalized Caputo derivative, two-point boundary value problem, Fractional ordinary differential equations, coincidence degree, Fractional derivatives and integrals, resonance, Degree theory for nonlinear operators, \(p\)-Laplacian, Mawhin's continuation theorem
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Fields of Science
01 natural sciences, 0101 mathematics
Citation
Adjabi, Yassine;...et.al. (2023). "Revisiting generalized Caputo derivatives in the context of two-point boundary value problems with the p-Laplacian operator at resonance", Boundary Value Problems, Vol.2023, No.1.
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Boundary Value Problems
Volume
2023
Issue
1
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