Existence and stability of fractional differential equations involving generalized Katugampola derivative

被引：3
|
作者：
Bhairat, Sandeep P. [1 ]
机构：
[1] Inst Chem Technol Mumbai, Fac Engn Math, Marathwada Campus, Jalna 431203, MS, India
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2020年 / 65卷 / 01期
关键词：
Fractional differential equations; fixed point theory; stability of solutions; HADAMARD;
D O I：
10.24193/subbmath.2020.1.03
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present article deals with the existence and stability results for a class of fractional differential equations involving generalized Katugampola derivative. Some fixed point theorems are used to obtain the results and enlightening examples of obtained result are also given.
引用
收藏
页码：29 / 46
页数：18
相关论文
共 50 条
  • [1] Ulam stability for nonlocal differential equations involving the Hilfer–Katugampola fractional derivative
    Mouffak Benchohra
    Soufyane Bouriah
    Johnny Henderson
    [J]. Afrika Matematika, 2021, 32 : 829 - 851
  • [2] Ulam stability for nonlocal differential equations involving the Hilfer-Katugampola fractional derivative
    Benchohra, Mouffak
    Bouriah, Soufyane
    Henderson, Johnny
    [J]. AFRIKA MATEMATIKA, 2021, 32 (5-6) : 829 - 851
  • [3] On the Stability of Fractional Differential Equations Involving Generalized Caputo Fractional Derivative
    Tran, Minh Duc
    Ho, Vu
    Van, Hoa Ngo
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [4] EXISTENCE AND STABILITY RESULTS TO A CLASS OF FRACTIONAL RANDOM IMPLICIT DIFFERENTIAL EQUATIONS INVOLVING A GENERALIZED HILFER FRACTIONAL DERIVATIVE
    Jarad, Fahd
    Harikrishnan, Sugumaran
    Shah, Kamal
    Kanagarajan, Kuppusamy
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (03): : 723 - 739
  • [5] EXISTENCE AND STABILITY OF NONLOCAL INITIAL VALUE PROBLEMS INVOLVING GENERALIZED KATUGAMPOLA DERIVATIVE
    BAGWAN, A. R. I. F. S.
    PACHPATTE, D. E. E. P. A. K. B.
    [J]. KRAGUJEVAC JOURNAL OF MATHEMATICS, 2022, 46 (03): : 443 - 460
  • [6] EXISTENCE AND STABILITY RESULTS FOR DIFFERENTIAL EQUATIONS WITH COMPLEX ORDER INVOLVING HILFER FRACTIONAL DERIVATIVE
    Harikrishnan, S.
    Kanagarajan, K.
    Elsayed, E. M.
    [J]. TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, 10 (01): : 94 - 101
  • [7] Stability of Nonlinear Implicit Differential Equations with Caputo-Katugampola Fractional Derivative
    Dai, Qun
    Zhang, Yunying
    [J]. MATHEMATICS, 2023, 11 (14)
  • [8] EXISTENCE AND STABILITY OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH HADAMARD DERIVATIVE
    Wang, JinRong
    Zhou, Yong
    Medved, Milan
    [J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2013, 41 (01) : 113 - 133
  • [9] Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola-Caputo Fractional Derivative
    Ahmad, Manzoor
    Jiang, Jiqiang
    Zada, Akbar
    Shah, Syed Omar
    Xu, Jiafa
    [J]. COMPLEXITY, 2020, 2020
  • [10] Existence and Stability Results for Generalized Fractional Differential Equations
    A. Ben Makhlouf
    D. Boucenna
    M. A. Hammami
    [J]. Acta Mathematica Scientia, 2020, 40 : 141 - 154
12345