EXISTENCE AND STABILITY RESULTS FOR DIFFERENTIAL EQUATIONS WITH COMPLEX ORDER INVOLVING HILFER FRACTIONAL DERIVATIVE

被引：0
|
作者：
Harikrishnan, S. [1 ]
Kanagarajan, K. [1 ]
Elsayed, E. M. [2 ]
机构：
[1] Sri Ramakrishna Mission Vidyalaya Coll Arts & Sci, Dept Math, Gudalur, Tamil Nadu, India
[2] Mansoura Univ, Dept Math, Mansoura, Egypt
来源：
TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2019年 / 10卷 / 01期
关键词：
Hilfer fractional derivative; existence; Ulam-Hyers stability; complex order; OPERATIONAL CALCULUS; OPERATORS; FAMILIES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study dynamical behaviour of differential equation involving Hilfer fractional derivative with complex order. The existence of solution, Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability results are investigated.
引用
收藏
页码：94 / 101
页数：8
相关论文
共 50 条
  • [31] Existence and Stability Results for Differential Equations with a Variable-Order Generalized Proportional Caputo Fractional Derivative
    O'Regan, Donal
    Agarwal, Ravi P.
    Hristova, Snezhana
    Abbas, Mohamed I.
    MATHEMATICS, 2024, 12 (02)
  • [32] Some Existence and Stability Results for Hilfer-fractional Implicit Differential Equations with Nonlocal Conditions
    Vivek, D.
    Kanagarajan, K.
    Elsayed, E. M.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (01)
  • [33] 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
  • [34] EXISTENCE AND STABILITY OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH HADAMARD DERIVATIVE
    Wang, JinRong
    Zhou, Yong
    Medved, Milan
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2013, 41 (01) : 113 - 133
  • [35] NON-EXISTENCE OF GLOBAL SOLUTIONS FOR A DIFFERENTIAL EQUATION INVOLVING HILFER FRACTIONAL DERIVATIVE
    Furati, Khaled M.
    Kassim, Mohammed D.
    Tatar, Nasser-Eddine
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
  • [36] 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
  • [37] On Existence and Attractivity of ψ-Hilfer Hybrid Fractional-order Langevin Differential Equations
    Rathee, Savita
    Narwal, Yogeeta
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
  • [38] Existence and Ulam-Hyers stability results of a coupled system of ψ-Hilfer sequential fractional differential equations
    Almalahi, Mohammed A.
    Abdo, Mohammed S.
    Panchal, Satish K.
    RESULTS IN APPLIED MATHEMATICS, 2021, 10
  • [39] Existence and Kummer Stability for a System of Nonlinear φ-Hilfer Fractional Differential Equations with Application
    Mottaghi, Fatemeh
    Li, Chenkuan
    Abdeljawad, Thabet
    Saadati, Reza
    Ghaemi, Mohammad Bagher
    FRACTAL AND FRACTIONAL, 2021, 5 (04)
  • [40] Existence and stability results for fractional-order pantograph differential equations involving Riemann-Liouville and Caputo fractional operators
    Mohamed Houas
    Amita Devi
    Anoop Kumar
    International Journal of Dynamics and Control, 2023, 11 : 1386 - 1395
12345