Terminal value problem for neutral fractional functional differential equations with Hilfer-Katugampola fractional derivative

被引:0
|
作者
Bouriah, Soufyane [1 ]
Benchohra, Mouffak [2 ]
Ozyurt, Selma Gulyaz [3 ]
机构
[1] Hassiba Benbouali Univ, Dept Math, Fac Exact Sci & Informat, POB 151, Chlef 02000, Algeria
[2] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria
[3] Sivas Cumhuriyet Univ, Fac Sci, Dept Math, POB 58140, Sivas, Turkiye
关键词
Hilfer-Katugampola fractional derivative; neutral fractional differential equations; existence; uniqueness; fixed point; INTEGRODIFFERENTIAL EQUATIONS; COMPARISON PRINCIPLE; DARBOUX PROBLEM;
D O I
10.2298/FIL2321131B
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish the existence of solutions for a class of nonlinear neutral fractional dif-ferential equations with terminal condition and Hilfer-Katugampola fractional derivative. The arguments are based upon the Banach contraction principle, and Krasnoselskii's fixed point theorem. An example is included to show the applicability of our results.
引用
收藏
页码:7131 / 7147
页数:17
相关论文
共 50 条
  • [1] Terminal Value Problem for Differential Equations with Hilfer-Katugampola Fractional Derivative
    Benchohra, Mouffak
    Bouriah, Soufyane
    Nieto, Juan J.
    SYMMETRY-BASEL, 2019, 11 (05):
  • [2] Ulam stability for nonlocal differential equations involving the Hilfer-Katugampola fractional derivative
    Benchohra, Mouffak
    Bouriah, Soufyane
    Henderson, Johnny
    AFRIKA MATEMATIKA, 2021, 32 (5-6) : 829 - 851
  • [3] On the Existence and Stability of Boundary Value Problem for Differential Equation with Hilfer-Katugampola Fractional Derivative
    Elsayed, E. M.
    Harikrishnan, S.
    Kanagarajan, K.
    ACTA MATHEMATICA SCIENTIA, 2019, 39 (06) : 1568 - 1578
  • [4] On the controllability of Hilfer-Katugampola fractional differential equations
    Abbas, Mohamed, I
    ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2020, 24 (02): : 195 - 204
  • [5] ON THE EXISTENCE AND STABILITY OF BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVE
    E.M.ELSAYED
    S.HARIKRISHNAN
    K.KANAGARAJAN
    ActaMathematicaScientia, 2019, 39 (06) : 1568 - 1578
  • [6] On the Existence and Stability of Boundary Value Problem for Differential Equation with Hilfer-Katugampola Fractional Derivative
    E. M. Elsayed
    S. Harikrishnan
    K. Kanagarajan
    Acta Mathematica Scientia, 2019, 39 : 1568 - 1578
  • [7] U am stability for nonlinear implicit differential equations with Hilfer-Katugampola fractional derivative and impulses
    Bouriah, Soufyane
    Benchohra, Mouffak
    Nieto, Juan J.
    Zhou, Yong
    AIMS MATHEMATICS, 2022, 7 (07): : 12859 - 12884
  • [8] A study on Hilfer-Katugampola fractional differential equations with boundary conditions
    Zhang, Jing
    Gou, Haide
    BOUNDARY VALUE PROBLEMS, 2025, 2025 (01):
  • [9] Hilfer-Katugampola fractional derivatives
    Oliveira, D. S.
    Capelas de Oliveira, E.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (03) : 3672 - 3690
  • [10] Existence and uniqueness for fuzzy differential equation with Hilfer-Katugampola fractional derivative
    Chen, Xingru
    Gu, Haibo
    Wang, Xingzhao
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)