Solvability analysis of a special type fractional differential system

被引:0
|
作者
Kateryna Marynets
机构
[1] Uzhhorod National University,
来源
Computational and Applied Mathematics | 2020年 / 39卷
关键词
Fractional differential equations; Anti-periodic boundary conditions; Approximation of solutions; Parametrization technique; Primary 34A08; 34K07; Secondary 34K28;
D O I
暂无
中图分类号
学科分类号
摘要
Obtained some new and original results in investigation of solutions of the boundary-value problems (BVPs) for fractional differential systems (FDS), subjected to anti-periodic boundary conditions. The approximate solution of the given BVP is built in the form of successive sequences of functions by using main ideas of the numerical–analytic technique (Marynets in Electron J Qual Theory Differ Equ 6(2016):1–14 (2016); Ronto and Marynets in Nonlinear Oscil 14:379–413 (2012), Ronto et al. in Tatra Mt Math Publ 63:247–267 (2015). The numerical values of the unknown vector-parameter are solutions of the so-called ‘determining’ system of algebraic or transcendental equations.
引用
收藏
相关论文
共 50 条
  • [41] Fractional differential equations with a Krasnoselskii-Krein type condition
    Bhaskar, T. Gnana
    Lakshmikantham, V.
    Leela, S.
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (04) : 734 - 737
  • [42] Ψ-Hilfer type linear fractional differential equations withvariable coefficients
    Li, Fang
    Wang, Huiwen
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2025, : 807 - 838
  • [43] On solutions of linear and nonlinear fractional differential equations with application to fractional order RC type circuits
    Alahmad, Rami
    Al-Khaleel, Mohammad
    Almefleh, Hasan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 438
  • [44] Solvability of infinite systems of Caputo-Hadamard fractional differential equations in the triple sequence space c3(Δ)
    Kayvanloo, Hojjatollah Amiri
    Mehravaran, Hamid
    Mursaleen, Mohammad
    Allahyari, Reza
    Allahyari, Asghar
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2024, 15 (02)
  • [45] Solvability for fractional order boundary value problems at resonance
    Zhigang Hu
    Wenbin Liu
    Boundary Value Problems, 2011
  • [46] Solvability for fractional order boundary value problems at resonance
    Hu, Zhigang
    Liu, Wenbin
    BOUNDARY VALUE PROBLEMS, 2011,
  • [47] A fractional differential quadrature method for fractional differential equations and fractional eigenvalue problems
    Mohamed, Salwa A.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020,
  • [48] Solvability of some fractional differential equations in the Holder space Hγ(R+) and their numerical treatment via measures of noncompactness
    Kayvanloo, Hojjatollah Amiri
    Mursaleen, Mohammad
    Mehrabinezhad, Mohammad
    Najafabadi, Farzaneh Pouladi
    MATHEMATICAL SCIENCES, 2023, 17 (04) : 387 - 397
  • [49] Analysis of stochastic neutral fractional functional differential equations
    Alagesan Siva Ranjani
    Murugan Suvinthra
    Krishnan Balachandran
    Yong-Ki Ma
    Boundary Value Problems, 2022
  • [50] RIEMANN-LIOUVILLE FRACTIONAL DIFFERENTIAL EQUATIONS WITH FRACTIONAL BOUNDARY CONDITIONS
    Ahmad, Bashir
    Nieto, Juan J.
    FIXED POINT THEORY, 2012, 13 (02): : 329 - 336