Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays

被引：0
|
作者：
Lanying Hu
Yong Ren
R. Sakthivel
机构：
[1] Anhui Normal University,Department of Mathematics
[2] University of Tasmania,School of Mathematics
[3] Sungkyunkwan University,Department of Mathematics
来源：
Semigroup Forum | 2009年 / 79卷
关键词：
Fractional differential equation; Nonlocal initial condition; Fixed point theorem; Mild solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we establish the existence and uniqueness of mild solutions for a class of semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays in α-norm. And the main tool is the fixed point theorem due to Sadovskii. Some known results are generalized.
引用
收藏
页码：507 / 514
页数：7
相关论文
共 50 条
  • [41] ON THE EXISTENCE OF SOLUTIONS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
    Aghajani, Asadollah
    Jalilian, Yaghoub
    Trujillo, Juan J.
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2012, 15 (01) : 44 - 69
  • [42] On the existence of solutions of fractional integro-differential equations
    Asadollah Aghajani
    Yaghoub Jalilian
    Juan J. Trujillo
    [J]. Fractional Calculus and Applied Analysis, 2012, 15 : 44 - 69
  • [43] EXISTENCE OF MILD SOLUTIONS FOR IMPULSIVE FRACTIONAL-ORDER SEMILINEAR EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS
    Chauhan, Archana
    Dabas, Jaydev
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
  • [44] Toward the Existence and Uniqueness of Solutions for Fractional Integro-Differential Equations under Uncertainty
    Ahmadian, A.
    Ismail, F.
    Senu, N.
    Salahshour, S.
    Suleiman, M.
    [J]. INNOVATIONS THROUGH MATHEMATICAL AND STATISTICAL RESEARCH: PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS (ICMSS2016), 2016, 1739
  • [45] Existence and Uniqueness of Solutions for Fractional Integro-Differential Equations Involving the Hadamard Derivatives
    Nyamoradi, Nemat
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    [J]. MATHEMATICS, 2022, 10 (17)
  • [46] Existence of mild solutions for semilinear differential equations with nonlocal and impulsive conditions
    Olszowy, Leszek
    [J]. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (04): : 623 - 635
  • [47] Local and global existence of mild solutions for impulsive fractional semilinear integro-differential equation
    Rashid, M. H. M.
    Al-Omari, A.
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (09) : 3493 - 3503
  • [48] Existence, Uniqueness and Approximation of Solution for the Fractional Semilinear Integro-differential Equation
    Chadha, Alka
    Pandey, D. N.
    [J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2014, 52 (03): : 73 - 89
  • [49] Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions
    Ahmed Alsaedi
    Bashir Ahmad
    [J]. Advances in Difference Equations, 2010
  • [50] Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions
    Alsaedi, Ahmed
    Ahmad, Bashir
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2010,
12345