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
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
  • [1] Positive Solutions to Nonlinear Systems Involving Fully Nonlinear Fractional Operators
    Pengcheng Niu
    Wu Leyun
    Xiaoxue Ji
    Fractional Calculus and Applied Analysis, 2018, 21 : 552 - 574
  • [2] POSITIVE SOLUTIONS TO NONLINEAR SYSTEMS INVOLVING FULLY NONLINEAR FRACTIONAL OPERATORS
    Niu, Pengcheng
    Wu, Leyun
    Ji, Xiaoxue
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (02) : 552 - 574
  • [3] On differential equations involving the ψ-shifted fractional operators
    Benjemaa, Mondher
    Jerbi, Fatma
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (03) : 3371 - 3383
  • [4] On solvability of nonlinear fractional differential systems involving nonlocal initial conditions
    Matar, Mohammed M.
    Abu Skhail, Esmail S.
    Alzabut, Jehad
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (10) : 8254 - 8265
  • [5] Fractional nonlinear systems with sequential operators
    Mozyrska, Dorota
    Girejko, Ewa
    Wyrwas, Malgorzata
    CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2013, 11 (10): : 1295 - 1303
  • [6] Approximate Controllability of Fractional Nonlinear Hybrid Differential Systems via Resolvent Operators
    Matar, Mohammed M.
    JOURNAL OF MATHEMATICS, 2019, 2019
  • [7] On a Differential Inclusion Involving Dirichlet–Laplace Operators of Fractional Orders
    Rafał Kamocki
    Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 4089 - 4106
  • [8] VARIATIONAL FORMULATION OF PROBLEMS INVOLVING FRACTIONAL ORDER DIFFERENTIAL OPERATORS
    Jin, Bangti
    Lazarov, Raytcho
    Pasciak, Joseph
    Rundell, William
    MATHEMATICS OF COMPUTATION, 2015, 84 (296) : 2665 - 2700
  • [9] PERTURBATION RESULTS FOR SOME NONLINEAR EQUATIONS INVOLVING FRACTIONAL OPERATORS
    Secchi, Simone
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2013, 5 (02): : 221 - 236
  • [10] Analytical Study of Two Nonlinear Coupled Hybrid Systems Involving Generalized Hilfer Fractional Operators
    Almalahi, Mohammed A.
    Bazighifan, Omar
    Panchal, Satish K.
    Askar, S. S.
    Oros, Georgia Irina
    FRACTAL AND FRACTIONAL, 2021, 5 (04)