Some theorems on fractional semilinear evolution equations

被引：12
|
作者：
Tidke, Haribhau L. [1 ]
机构：
[1] North Maharashtra Univ, Sch Math Sci, Dept Math, Jalgaon 425001, India
来源：
JOURNAL OF APPLIED ANALYSIS | 2012年 / 18卷 / 02期
关键词：
Existence of solution; evolution equation; fractional calculus; continuous dependence; Hernandez's inequality;
D O I：
10.1515/jaa-2012-0014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence, uniqueness and other properties of solutions of fractional semilinear evolution equations in Banach spaces. The results are obtained by using fractional calculus, the well-known Banach fixed point theorem coupled with Bielecki type norm and the integral inequality established by E. Hernandez.
引用
收藏
页码：209 / 224
页数：16
相关论文
共 50 条
  • [31] EXISTENCE THEOREMS FOR SOME NONLINEAR EQUATIONS OF EVOLUTION - CORRIGENDUM
    CLEMENTS, JC
    CANADIAN JOURNAL OF MATHEMATICS, 1971, 23 (06): : 1086 - &
  • [32] ON SOME SEMILINEAR EQUATIONS
    Porzio, Maria Michaela
    MATEMATICHE, 2005, 60 (02): : 353 - 362
  • [33] SOLVABILITY AND OPTIMAL CONTROL OF SEMILINEAR FRACTIONAL EVOLUTION EQUATIONS WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES
    Xiao, Yu
    Peng, Zijia
    FIXED POINT THEORY, 2022, 23 (02): : 741 - 762
  • [34] Liouville theorems for semilinear equations on the Heisenberg group
    Birindelli, I
    Dolcetta, IC
    Cutri, A
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1997, 14 (03): : 295 - 308
  • [35] Control Systems Described by a Class of Fractional Semilinear Evolution Equations and Their Relaxation Property
    Liu, Xiaoyou
    Fu, Xi
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [36] On mixed boundary value problem of impulsive semilinear evolution equations of fractional order
    Zhang, Lihong
    Wang, Guotao
    Song, Guangxing
    BOUNDARY VALUE PROBLEMS, 2012, : 1 - 8
  • [37] On mixed boundary value problem of impulsive semilinear evolution equations of fractional order
    Lihong Zhang
    Guotao Wang
    Guangxing Song
    Boundary Value Problems, 2012
  • [38] Existence uniqueness and stability of mild solutions for semilinear ψ-Caputo fractional evolution equations
    Apassara Suechoei
    Parinya Sa Ngiamsunthorn
    Advances in Difference Equations, 2020
  • [39] Semilinear fractional-order evolution equations of Sobolev type in the sectorial case
    Fedorov, Vladimir E.
    Avilovich, Anna S.
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2021, 66 (6-7) : 1108 - 1121
  • [40] Existence uniqueness and stability of mild solutions for semilinear ψ-Caputo fractional evolution equations
    Suechoei, Apassara
    Ngiamsunthorn, Parinya
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
12345