Existence of Solutions for a Fractional Derivative System of Equations

被引:0
|
作者
Arnaud Heibig
机构
[1] Université de Lyon,Institut Camille Jordan UMR5208 and Pôle de Mathématiques
[2] CNRS,undefined
[3] INSA-Lyon,undefined
来源
关键词
Primary 35R11; Secondary 45F15; Solution existence; smoothness; fractional derivative systems of equations; Newton polygonal;
D O I
暂无
中图分类号
学科分类号
摘要
We study a fractional derivative system of equations. A Newton polygonal associated with this system is partially described. Under some additional assumptions, this Newton polygonal is fully described and L2 estimates are given, as well as an existence result. We finally discuss our assumptions.
引用
收藏
页码:483 / 508
页数:25
相关论文
共 50 条
  • [1] Existence of Solutions for a Fractional Derivative System of Equations
    Heibig, Arnaud
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2012, 72 (04) : 483 - 508
  • [2] EXISTENCE OF SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS WITH FRACTIONAL-ORDER DERIVATIVE TERMS
    Sun, Ai
    Su, Youhui
    Yuan, Qingchun
    Li, Tongxiang
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (01): : 486 - 520
  • [3] Existence of solutions for nonlinear singular fractional differential equations with fractional derivative condition
    Rengui Li
    [J]. Advances in Difference Equations, 2014
  • [4] Existence of solutions for nonlinear singular fractional differential equations with fractional derivative condition
    Li, Rengui
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [5] Existence of Mild Solutions to Delay Diffusion Equations with Hilfer Fractional Derivative
    Jin, Yuhang
    He, Wenchang
    Wang, Luyao
    Mu, Jia
    [J]. FRACTAL AND FRACTIONAL, 2024, 8 (07)
  • [6] Existence of solutions for a system of mixed fractional differential equations
    Guezane-Lakoud, A.
    Ramdane, S.
    [J]. JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2018, 12 (04): : 421 - 426
  • [7] Existence of Solutions for a Coupled System of Fractional Differential Equations
    Hu, Zhigang
    Liu, Wenbin
    Rui, Wenjuan
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2014, 37 (04) : 1111 - 1121
  • [8] EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH ?-HILFER FRACTIONAL DERIVATIVE WITH NONLOCAL INTEGRAL BOUNDARY CONDITIONS
    Khelil, Kamel Ali
    Ardjouni, Abdelouaheb
    Lachouri, Adel
    Bouchelaghem, Faycal
    [J]. BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2022, 17 (04): : 383 - 399
  • [9] Existence and uniqueness of solutions to impulsive fractional differential equations via the deformable derivative
    Etefa, Mesfin
    N'Guerekata, Gaston M.
    Benchohra, Mouffak
    [J]. APPLICABLE ANALYSIS, 2021,
  • [10] Existence of nontrivial solutions for a system of fractional advection–dispersion equations
    Dexiang Ma
    Lishan Liu
    Yonghong Wu
    [J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 1041 - 1057