A study of Hilfer-Katugampola type pantograph equations with complex order

被引：7
|
作者：
Harikrishnan, S. [1 ]
Elsayed, E. M. [2 ]
Kanagarajan, K. [3 ]
Vivek, D. [4 ]
机构：
[1] TIPS Coll Arts & Sci, Dept Math, Coimbatore, India
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
[3] Sri Ramakrishna Mission Vidyalaya Coll Arts & Sci, Dept Math, Coimbatore, India
[4] PSG Coll Arts & Sci, Dept Math, Coimbatore, India
来源：
EXAMPLES AND COUNTEREXAMPLES | 2022年 / 2卷
关键词：
Fractional derivative; Non-local condition; Ulam-Hyers-Rassias stability; Complex order; FRACTIONAL DIFFERENTIAL-EQUATIONS; ULAM STABILITY; DERIVATIVES; EXISTENCE;
D O I：
10.1016/j.exco.2021.100045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article deals with existence, uniqueness and Ulam-Hyers-Rassias stability solutions for complex Hilfer-Katugampola type pantograph equations involving initial and nonlocal condition.
引用
收藏
页数：5
相关论文
共 50 条
  • [21] EXISTENCE AND CONTINUATION OF SOLUTIONS OF HILFER-KATUGAMPOLA-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS
    Salamooni, Ahmad Y. A.
    Pawar, D. D.
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2021, 13 (03): : 257 - 279
  • [22] New Lyapunov-type inequalities for fractional multi-point boundary value problems involving Hilfer-Katugampola fractional derivative
    Zhang, Wei
    Zhang, Jifeng
    Ni, Jinbo
    AIMS MATHEMATICS, 2022, 7 (01): : 1074 - 1094
  • [23] New Generalized Reverse Minkowski Inequality and Related Integral Inequalities via Generalized κ-Fractional Hilfer-Katugampola Derivative
    Naz, Samaira
    Naeem, Muhammad Nawaz
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2021, 53 (04): : 247 - 260
  • [24] Ostrowski-type inequalities for n-polynomial P-convex function for k-fractional Hilfer-Katugampola derivative
    Naz, Samaira
    Naeem, Muhammad Nawaz
    Chu, Yu-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01):
  • [25] Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer-Katugampola fractional derivative
    Ahmed, Idris
    Kumam, Poom
    Jarad, Fahd
    Borisut, Piyachat
    Sitthithakerngkiet, Kanokwan
    Ibrahim, Alhassan
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [26] A Study on the Existence and Uniqueness of Random Impulsive Hilfer Pantograph Differential Equations
    Radhakrishnan, B.
    Tamilarasi, M.
    Anukokila, P.
    IRANIAN JOURNAL OF SCIENCE, 2025,
  • [27] RETRACTION: Existence of solutions of nonlocal initial value problems for differential equations with Hilfer-Katugampola fractional derivative (Retraction of Vol 144, Pg 203, 2018)
    Harikrishnan, S.
    Kanagarajan, K.
    Elsayed, E. M.
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (04) : 3903 - 3903
  • [28] Hilfer-Katugampola分数阶模糊Volterra-Fredholm型非局部问题附视频
    丁玮麒
    顾海波
    新疆师范大学学报(自然科学版), 2023, (03) : 13 - 25
  • [29] ATTRACTIVITY FOR DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER AND ψ-HILFER TYPE
    Sousa, J. Vanterler da C.
    Benchohra, Mouffak
    N'Guerekata, Gaston M.
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2020, 23 (04) : 1188 - 1207
  • [30] Attractivity for Differential Equations of Fractional order and ψ-Hilfer Type
    J. Vanterler da C. Sousa
    Mouffak Benchohra
    Gaston M. N’Guérékata
    Fractional Calculus and Applied Analysis, 2020, 23 : 1188 - 1207
12345