Existence and Stability Results for Generalized Fractional Differential Equations

被引:0
|
作者
A. Ben Makhlouf
D. Boucenna
M. A. Hammami
机构
[1] Jouf University,Department of Mathematics, College of Sciences
[2] Faculty of Sciences of Sfax,Department of Mathematics
[3] Higher School for Professors of Technological Education,undefined
来源
Acta Mathematica Scientia | 2020年 / 40卷
关键词
nonlinear fractional differential equations; stability analysis; generalized fractional derivative; Krasnoselskii’s fixed point theorem; 26A33; 33E20; 34B20;
D O I
暂无
中图分类号
学科分类号
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:13
相关论文
共 50 条
  • [1] Existence and Stability Results for Generalized Fractional Differential Equations
    Ben Makhlouf, A.
    Boucenna, D.
    Hammami, M. A.
    ACTA MATHEMATICA SCIENTIA, 2020, 40 (01) : 141 - 154
  • [2] EXISTENCE AND STABILITY RESULTS FOR GENERALIZED FRACTIONAL DIFFERENTIAL EQUATIONS
    A.BEN MAKHLOUF
    D.BOUCENNA
    M.A.HAMMAMI
    Acta Mathematica Scientia, 2020, 40 (01) : 141 - 154
  • [3] 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
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (03): : 723 - 739
  • [4] On Existence and Stability Results for Nonlinear Fractional Delay Differential Equations
    Kucche, Kishor D.
    Sutar, Sagar T.
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2018, 36 (04): : 55 - 75
  • [5] Existence and stability of fractional differential equations involving generalized Katugampola derivative
    Bhairat, Sandeep P.
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2020, 65 (01): : 29 - 46
  • [6] EXISTENCE AND STABILITY RESULTS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH TWO CAPUTO FRACTIONAL DERIVATIVES
    Houas, Mohamed
    Bezziou, Mohamed
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2019, 34 (02): : 341 - 357
  • [7] Existence results for nonlinear neutral generalized Caputo fractional differential equations
    Naas Adjimi
    Abdelatif Boutiara
    Mohammed S. Abdo
    Maamar Benbachir
    Journal of Pseudo-Differential Operators and Applications, 2021, 12
  • [8] Existence results for nonlinear neutral generalized Caputo fractional differential equations
    Adjimi, Naas
    Boutiara, Abdelatif
    Abdo, Mohammed S.
    Benbachir, Maamar
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2021, 12 (02)
  • [9] 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)
  • [10] EXISTENCE AND STABILITY RESULTS FOR NONLINEAR IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSES
    Benchohra, Mouffak
    Bouriah, Soufyane
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2016, 69 : 15 - 31