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The existence of solutions for fractional differential equations with p-Laplacian at resonance.

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By giving proper transformation, selecting suitable Banach spaces and operators, and using Mawhin's coincident theory, we investigate the existence of solutions for fractional differential equations with p-Laplacian at resonance under… Click to show full abstract

By giving proper transformation, selecting suitable Banach spaces and operators, and using Mawhin's coincident theory, we investigate the existence of solutions for fractional differential equations with p-Laplacian at resonance under two kinds of boundary conditions, respectively. Examples are given to illustrate our main results.

Keywords: solutions fractional; equations laplacian; laplacian resonance; fractional differential; differential equations; existence solutions

Journal Title: Chaos
Year Published: 2017

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