user

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR FRACTIONAL RELAXATION INTEGRO-DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS

被引：3
|
作者：
Lachouri, Adel [1 ]
Ardjouni, Abdelouaheb [2 ]
Djoudi, Ahcene [1 ]
机构：
[1] Univ Annaba, Fac Sci, Dept Math, POB 12, Annaba 23000, Algeria
[2] Univ Souk Ahras, Fac Sci & Technol, Dept Math & Informat, POB 1553, Souk Ahras 41000, Algeria
来源：
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2022年 / 37卷 / 01期
关键词：
Fractional relaxation integro-differential equations; Riemann-Liouville fractional derivative; Liouville-Caputo fractional derivative; existence; uniqueness; fixed point; POSITIVE SOLUTIONS;
D O I：
10.22190/FUMI210502016L
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to study the existence and uniqueness of solutions for nonlinear fractional relaxation integro-differential equations with boundary conditions. Some results about the existence and uniqueness of solutions have been established by using the Banach contraction mapping principle and the Schauder fixed point theorem. An example is provided which illustrates the theoretical results.
引用
收藏
页码：211 / 221
页数：11
相关论文
共 50 条
  • [31] Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions
    Ravi P Agarwal
    Sotiris K Ntouyas
    Bashir Ahmad
    Mohammed S Alhothuali
    Advances in Difference Equations, 2013
  • [32] Existence and uniqueness of solutions for multi-term nonlinear fractional integro-differential equations
    Dumitru Baleanu
    Sayyedeh Zahra Nazemi
    Shahram Rezapour
    Advances in Difference Equations, 2013
  • [33] Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions
    Alsaedi, Ahmed
    Ahmad, Bashir
    ADVANCES IN DIFFERENCE EQUATIONS, 2010,
  • [34] Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions
    Ahmed Alsaedi
    Bashir Ahmad
    Advances in Difference Equations, 2010
  • [35] Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions
    Agarwal, Ravi P.
    Ntouyas, Sotiris K.
    Ahmad, Bashir
    Alhothuali, Mohammed S.
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [36] Existence and Uniqueness of Solutions of Fuzzy Volterra Integro-differential Equations
    Hajighasemi, S.
    Allahviranloo, T.
    Khezerloo, M.
    Khorasany, M.
    Salahshour, S.
    INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS: APPLICATIONS, PT II, 2010, 81 : 491 - +
  • [37] Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays
    Hu, Lanying
    Ren, Yong
    Sakthivel, R.
    SEMIGROUP FORUM, 2009, 79 (03) : 507 - 514
  • [38] Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays
    Lanying Hu
    Yong Ren
    R. Sakthivel
    Semigroup Forum, 2009, 79 : 507 - 514
  • [39] Existence and uniqueness of solutions for nonlinear Volterra-Fredholm integro-differential equation of fractional order with boundary conditions
    Laadjal, Zaid
    Ma, Qing-Hua
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (10) : 8215 - 8227
  • [40] Existence and Uniqueness of the Solutions for Fractional Differential Equations with Nonlinear Boundary Conditions
    Liu, Xiping
    Li, Fanfan
    Jia, Mei
    Zhi, Ertao
    ABSTRACT AND APPLIED ANALYSIS, 2014,
12345