On Periodic Solutions for Some Nonlinear Fractional Pantograph Problems with ?-Hilfer Derivative

被引：0
|
作者：
Benzenati, Djilali [1 ,2 ]
Bouriah, Soufyane [2 ,3 ]
Salim, Abdelkrim [1 ,4 ]
Benchohra, Mouffak [1 ]
机构：
[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, Bel Abbes 22000, Algeria
[2] Hassiba Benbouali Univ Chlef, Lab Math & Applicat, Hay Salem, Chlef, Algeria
[3] Hassiba Benbouali Univ Chlef, Fac Exact Sci & Informat, Dept Math, Chlef, Algeria
[4] Hassiba Benbouali Univ Chlef, Fac Technol, Chlef 02000, Algeria
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 04期
关键词：
and phrases; coincidence degree theory; existence; uniqueness; -Hilfer fractional derivative; systems; EQUATIONS;
D O I：
10.1134/S1995080223040054
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main goal of this paper is to study the existence and uniqueness of periodic solutions for some class of nonlinear fractional pantograph systems with ?-Hilfer derivative. The proofs are based upon the coincidence degree theory of Mawhin. To show the efficiency of the stated result, an illustrative example will be demonstrated.
引用
收藏
页码：1264 / 1279
页数：16
相关论文
共 50 条
  • [1] Existence and uniqueness of periodic solutions for some nonlinear fractional pantograph differential equations with ψ-Caputo derivative
    Bouriah, Soufyane
    Foukrach, Djamal
    Benchohra, Mouffak
    Graef, John
    ARABIAN JOURNAL OF MATHEMATICS, 2021, 10 (03) : 575 - 587
  • [2] ON THE PERIODIC SOLUTIONS FOR NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS WITH ψ-HILFER FRACTIONAL DERIVATIVE
    Bouriah, Soufyane
    Foukrach, Djamal
    Benchohra, Mouffak
    Zhou, Yong
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2022, 14 (03): : 447 - 467
  • [3] Existence Results for Nonlinear Hilfer Pantograph Fractional Integrodifferential Equations
    Radhakrishnan, B.
    Sathya, T.
    Alqudah, M. A.
    Shatanawi, W.
    Abdeljawad, T.
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (05)
  • [4] PERIODIC BOUNDARY VALUE PROBLEMS FOR FRACTIONAL IMPLICIT DIFFERENTIAL EQUATIONS INVOLVING HILFER FRACTIONAL DERIVATIVE
    Almalahi, M. A.
    Abdo, M. S.
    Panchal, S. K.
    PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2020, 9 (02): : 16 - 44
  • [5] Fractional optimal reachability problems with ψ-Hilfer fractional derivative
    Vellappandi, M.
    Govindaraj, Venkatesan
    Vanterler da C. Sousa, Jose
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (10) : 6255 - 6267
  • [6] EXISTENCE RESULTS FOR SOME p-KIRCHHOFF PROBLEMS WITH ψ-HILFER FRACTIONAL DERIVATIVE
    Alzumi, Hadeel z.
    Shammakh, Wafa
    Ghanmi, Abdeljabbar
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2025,
  • [7] On Hilfer cotangent fractional derivative and a particular class of fractional problems
    Sadek, Lakhlifa
    Lazar, Tania A.
    AIMS MATHEMATICS, 2023, 8 (12): : 28334 - 28352
  • [8] Hilfer Fractional Quantum Derivative and Boundary Value Problems
    Wongsantisuk, Phollakrit
    Ntouyas, Sotiris K.
    Passary, Donny
    Tariboon, Jessada
    MATHEMATICS, 2022, 10 (06)
  • [9] On the Ψ-Hilfer fractional derivative
    Vanterler da C. Sousa, J.
    Capelas de Oliveira, E.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 60 : 72 - 91
  • [10] Analysis and some applications of a regularized Ψ-Hilfer fractional derivative
    Jajarmi, Amin
    Baleanu, Dumitru
    Sajjadi, Samaneh Sadat
    Nieto, Juan J.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 415
12345