On nonlinear differential systems involving three fractional operators

被引：0
|
作者：
Benmehidi, Hammou [1 ]
Dahmani, Zoubir [2 ]
机构：
[1] Univ Tiaret, Dept Nat & Life Sci, Tiaret 14000, Algeria
[2] Univ Mostaganem, Lab Math LMPA, Mostaganem 27000, Algeria
来源：
JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2022年 / 25卷 / 02期
关键词：
Riemann-Liouville integral; Hadamard derivative; Caputo derivative; Sequential differential equation; existence and uniqueness; INEQUALITIES;
D O I：
10.1080/09720502.2021.1932864
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present new ideas to establish new results for the existence and uniqueness of solutions for a class of nonlinear sequential fractional differential systems that involve Hadamard, Riemann-Liouville and Caputo operators with initial conditions.
引用
收藏
页码：493 / 509
页数：17
相关论文
共 50 条
  • [31] NONEXISTENCE RESULTS FOR NONLINEAR FRACTIONAL DIFFERENTIAL INEQUALITIES INVOLVING WEIGHTED
    De Gaetano, Andrea
    Jleli, Mohamed
    Ragusa, Maria Alessandra
    Samet, Bessem
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2023, 16 (06): : 1300 - 1322
  • [32] Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives
    Jleli, Mohamed
    Samet, Bessem
    Zhou, Yong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
  • [33] Solutions to the nonlinear Schrodinger systems involving the fractional Laplacian
    Qu, Meng
    Yang, Liu
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [34] Nonlinear Inverse Problems for Fractional Differential Equations with Sectorial Operators
    Fedorov, V. E.
    Ivanova, N. D.
    Borel, L. V.
    Avilovich, A. S.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (11) : 3125 - 3141
  • [35] Nonlinear Inverse Problems for Fractional Differential Equations with Sectorial Operators
    V. E. Fedorov
    N. D. Ivanova
    L. V. Borel
    A. S. Avilovich
    Lobachevskii Journal of Mathematics, 2022, 43 : 3125 - 3141
  • [36] Existence and uniqueness for nonlinear fractional differential systems
    Zhao, Yige
    Sun, Yibing
    2021 PROCEEDINGS OF THE 40TH CHINESE CONTROL CONFERENCE (CCC), 2021, : 567 - 570
  • [37] AN INSTABILITY THEOREM FOR NONLINEAR FRACTIONAL DIFFERENTIAL SYSTEMS
    Nguyen Dinh Cong
    Doan Thai Son
    Siegmund, Stefan
    Hoang The Tuan
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (08): : 3079 - 3090
  • [38] PERIODIC SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL SYSTEMS
    Abbas, Said
    Benchohra, Mouffak
    Bouriah, Soufyane
    Nieto, Juan J.
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2018, 10 (03): : 299 - 316
  • [39] Pseudo-Differential Operators Involving Fractional Fourier Cosine (Sine) Transform
    Prasad, Akhilesh
    Singh, Manoj Kumar
    FILOMAT, 2017, 31 (06) : 1791 - 1801
  • [40] Existence for fractional evolutionary inclusions involving nonlinear weakly continuous operators with applications
    Zeng, Biao
    Wang, Shuhua
    CHAOS SOLITONS & FRACTALS, 2024, 185
12345