| Citation: |
J. Vanterler da C. Sousa. EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR THE FRACTIONAL DIFFERENTIAL EQUATIONS WITH P -LAPLACIAN IN $ \mathbb{H}^{\nu,\eta;\psi}_{p}$[J]. Journal of Applied Analysis & Computation, 2022, 12(2): 622-661. doi: 10.11948/20210258
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EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR THE FRACTIONAL DIFFERENTIAL EQUATIONS WITH P -LAPLACIAN IN $ \mathbb{H}^{\nu,\eta;\psi}_{p}$
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Abstract
This present paper is dedicated to investigate the existence, uniqueness and minimization properties of weak solutions for a fractional differential equation in the sense of the $\psi$-Hilfer fractional operator, with $p$-Laplacian in the $\psi$-fractional space $\mathbb{H}^{\nu, \eta;\psi}_{p}$. To obtain such results, we use a variational structure for the main operator of the problem and the Harnack inequality.
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References
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J. Vanterler da C. Sousa. EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR THE FRACTIONAL DIFFERENTIAL EQUATIONS WITH P -LAPLACIAN IN $ \mathbb{H}^{\nu,\eta;\psi}_{p}$[J]. Journal of Applied Analysis & Computation, 2022, 12(2): 622-661. doi: 10.11948/20210258
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