Initial time difference quasilinearization method for fractional differential equations involving generalized Hilfer fractional derivative

被引：21
|
作者：
Kucche, Kishor D. [1 ]
Mali, Ashwini D. [1 ]
机构：
[1] Shivaji Univ, Dept Math, Kolhapur 416004, Maharashtra, India
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2020年 / 39卷 / 01期
关键词：
Generalized Hilfer fractional derivative; Quasilinearization method; Initial time difference; Comparison theorems; STABILITY; SYSTEM;
D O I：
10.1007/s40314-019-1004-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We build the quasilinearization method with initial time difference for nonlinear fractional differential equations (FDEs) involving generalized Hilfer fractional derivative under various conditions on the nonlinear function involved in the right hand side of the equation. An essential comparison result concerning lower and upper solutions is obtained for this generalized FDEs without demanding the Holder continuity assumption.
引用
收藏
页数：33
相关论文
共 50 条
  • [41] Nonlinear Integral Inequalities Involving Tempered ?-Hilfer Fractional Integral and Fractional Equations with Tempered ?-Caputo Fractional Derivative
    Medved', Milan
    Pospisil, Michal
    Brestovanska, Eva
    FRACTAL AND FRACTIONAL, 2023, 7 (08)
  • [42] Nonlocal initial value problems for implicit differential equations with Hilfer-Hadamard fractional derivative
    Vivek, Devaraj
    Kanagarajan, Kuppusamy
    Elsayed, Elsayed M.
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2018, 23 (03): : 341 - 360
  • [43] Existence and stability results for nonlocal initial value problems for differential equations with Hilfer fractional derivative
    Benchohra, Mouffak
    Bouriah, Soufyane
    Nieto, Juan J.
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2018, 63 (04): : 447 - 464
  • [44] Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative
    Wei, Zhongli
    Li, Qingdong
    Che, Junling
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 367 (01) : 260 - 272
  • [45] A novel numerical method for solution of fractional partial differential equations involving the ψ-Caputo fractional derivative
    Ali, Amjid
    Minamoto, Teruya
    Shah, Rasool
    Nonlaopon, Kamsing
    AIMS MATHEMATICS, 2023, 8 (01): : 2137 - 2153
  • [46] THE SOLUTION OF LOCAL FRACTIONAL DIFFUSION EQUATION INVOLVING HILFER FRACTIONAL DERIVATIVE
    Qiao, Yun
    Qiao, Quan-xi
    THERMAL SCIENCE, 2019, 23 : S809 - S814
  • [47] Using the Hilfer-Katugampola fractional derivative in initial-value Mathieu fractional differential equations with application to a particle in the plane
    Berhail, Amel
    Tabouche, Nora
    Alzabut, Jehad
    Samei, Mohammad Esmael
    ADVANCES IN CONTINUOUS AND DISCRETE MODELS, 2022, 2022 (01):
  • [48] 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
    BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2022, 17 (04): : 383 - 399
  • [49] Note on the solution of random differential equations via ψ-Hilfer fractional derivative
    S. Harikrishnan
    Kamal Shah
    Dumitru Baleanu
    K. Kanagarajan
    Advances in Difference Equations, 2018
  • [50] EXISTENCE AND UNIQUENESS FOR FRACTIONAL ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS WITH HILFER DERIVATIVE
    Karakoc, Fatma
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2020, 12 (04): : 323 - 336
12345