Fractional Sobolev space with Riemann-Liouville fractional derivative and application to a fractional concave-convex problem

Ledesma Cesar E. Torres; Bonilla Manuel C. Montalvo

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Fractional Sobolev space with Riemann-Liouville fractional derivative and application to a fractional concave-convex problem

机译：分数与Riemann-Liouville水列夫空间分数导数及其应用部分凹凸问题

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摘要

A new fractional function space E-L(alpha)[a, b] with Riemann-Liouville fractional derivative and its related properties are established in this paper. Under this configuration, the following fractional concave-convex problem:

机译：一个新的部分函数空间E-L(α)[A, b]与Riemann-Liouville分数导数相关属性是建立纸。部分凹凸问题:

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来源
《Advances in operator theory》 |2021年第4期|共38页
作者
Ledesma Cesar E. Torres; Bonilla Manuel C. Montalvo;
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作者单位

Univ Nacl Trujillo, Dept Matemat, Av Juan Pablo II S-N, Trujillo, Peru;

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原文格式 PDF
正文语种英语
中图分类
关键词
Sobolev space; Calculus of variation; DerivativesFunction spaces;

机译：水列夫空间;演算变化,DerivativesFunction空间;

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2. An inverse problem to estimate an unknown order of a Riemann-Liouville fractional derivative for a fractional Stokes' first problem for a heated generalized second grade fluid [J] . Bo Yu, Xiaoyun Jiang, Haitao Qi 力学学报：英文版 . 2015,第002期
3. Existence of Solutions for Fractional Differential Equations Involving Two Riemann-Liouville Fractional Orders [J] . Mohamed Houas 分析、理论与应用（英文版） . 2018,第003期
4. Pfaff-Birkhoff Variational Problem and Noether Symmetry in Terms of Riemann-Liouville Fractional Derivatives of Variable Order [J] . YAN Bin, ZHANG Yi 东华大学学报（英文版） . 2017,第004期
5. Caputo Fractional Derivative Hadamard Inequalities for Strongly -Convex Functions [J] . Xue Feng, Baolin Feng, Ghulam Farid, Journal of Function Spaces and Applications . 2021,第a期

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7. ASYMPTOTIC BEHAVIORS OF SOLUTION TO PARTIAL DIFFERENTIAL EQUATION WITH CAPUTO{HADAMARD DERIVATIVE AND FRACTIONAL LAPLACIAN: HYPERBOLIC CASE [J] . CHANGPIN LI, ZHIQIANG LI Discrete and Continuous Dynamical Systems,Series S . 2021,第10期

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8. Kelvin-Voigt Fractional Derivative Approach Reduces Parameter Space for Elasticity Imaging [C] . Cecile Coussot, Sureshkumar Kalyanam, Rebecca D. Yapp, IEEE Ultrasonics Symposium . 2007

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9. Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem =变阶分数阶偏微分方程: 分析，近似与反问题 [D] . Zheng, Xiangcheng. 2020

机译：Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem =变阶分数阶偏微分方程: 分析，近似与反问题
10. An extension by means of ω-weighted classes of the generalized Riemann-Liouville k-fractional integral inequalities [O] . Praveen Agarwal, J. E. Restrepo 2020

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11. Sobolev Spaces [R] . Wegman, E. J. 1988

机译：sobolev spaces

Fractional Sobolev space with Riemann-Liouville fractional derivative and application to a fractional concave-convex problem

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