EXISTENCE AND STABILITY RESULTS FOR GENERALIZED FRACTIONAL DIFFERENTIAL EQUATIONS

被引：0
|
作者：
A.BEN MAKHLOUF [1 ,2 ]
D.BOUCENNA [3 ]
M.A.HAMMAMI [2 ]
机构：
[1] Department of Mathematics, College of Sciences, Jouf University
来源：
ActaMathematicaScientia | 2020年 / 40卷 / 01期
关键词：
nonlinear fractional differential equations; stability analysis; generalized fractional derivative; Krasnoselskii’s fixed point theorem;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper, a sufficient conditions to guarantee the existence and stability of solutions for generalized nonlinear fractional differential equations of order α(1 < α < 2)are given. The main results are obtained by using Krasnoselskii’s fixed point theorem in a weighted Banach space. Two examples are given to demonstrate the validity of the proposed results.
引用
收藏
页码：141 / 154
页数：14
相关论文
共 50 条
  • [21] Existence and Stability Results for Caputo Fractional Stochastic Differential Equations with Levy Noise
    Umamaheswari, P.
    Balachandran, K.
    Annapoorani, N.
    FILOMAT, 2020, 34 (05) : 1739 - 1751
  • [22] EXISTENCE AND STABILITY RESULTS OF FRACTIONAL DIFFERENTIAL EQUATIONS MITTAG-LEFFLER KERNEL
    Abbas, Ahsan
    Mehmood, Nayyar
    Akgul, Ali
    Amacha, Inas
    Abdeljawad, Thabet
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2024, 32 (07N08)
  • [23] Existence and Ulam stability results for two orders neutral fractional differential equations
    Khochemane, Houssem Eddine
    Ardjouni, Abdelouaheb
    Zitouni, Salah
    AFRIKA MATEMATIKA, 2022, 33 (02)
  • [24] Existence and Ulam Stability Results for Fractional Differential Equations with Mixed Nonlocal Conditions
    Lachouri, A.
    Ardjouni, A.
    Djoudi, A.
    AZERBAIJAN JOURNAL OF MATHEMATICS, 2021, 11 (02): : 78 - 97
  • [25] Existence and stability results for a coupled system of impulsive fractional differential equations with Hadamard fractional derivatives
    Hammad, Hasanen A.
    Aydi, Hassen
    Isik, Huseyin
    De la Sen, Manuel
    AIMS MATHEMATICS, 2023, 8 (03): : 6913 - 6941
  • [26] Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations
    Salim, Abdelkrim
    Benchohra, Mouffak
    Karapinar, Erdal
    Lazreg, Jamal Eddine
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [27] Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations
    Abdelkrim Salim
    Mouffak Benchohra
    Erdal Karapınar
    Jamal Eddine Lazreg
    Advances in Difference Equations, 2020
  • [28] Generalized existence results for solutions of nonlinear fractional differential equations with nonlocal boundary conditions
    Aljurbua, Saleh Fahad
    AIN SHAMS ENGINEERING JOURNAL, 2024, 15 (11)
  • [29] 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
  • [30] Existence and finite-time stability results for impulsive fractional differential equations with maxima
    Zhang Y.
    Wang J.
    Journal of Applied Mathematics and Computing, 2016, 51 (1-2) : 67 - 79
12345