Fractional semilinear equations with causal operators

被引:0
|
作者
Ravi P. Agarwal
Vasile Asma
Donal Lupulescu
机构
[1] Texas A&M University-Kingvsille,Department of Mathematics
[2] GC University,Abdus Salam School of Mathematical Sciences
[3] University Constantin Brâncusi,School of Mathematics, Statistics and Applied Mathematics
[4] National University of Ireland,undefined
关键词
Caputo fractional derivative; Evolution equation; Causal operator; Initial value problem; 34A07; 34A08;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper we present an existence result for causal functional evolution equations. The result is obtained using the Schauder fixed point theorem. An application to partial differential equations is given to illustrate our main result.
引用
收藏
页码:257 / 269
页数:12
相关论文
共 50 条
  • [1] Fractional semilinear equations with causal operators
    Agarwal, Ravi P.
    Asma
    Lupulescu, Vasile
    O'Regan, Donal
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2017, 111 (01) : 257 - 269
  • [2] Fractional differential equations with causal operators
    Jankowski, Tadeusz
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [3] Fractional differential equations with causal operators
    Tadeusz Jankowski
    Advances in Difference Equations, 2015
  • [4] Semilinear equations for non-local operators: Beyond the fractional Laplacian
    Biocic, Ivan
    Vondracek, Zoran
    Wagner, Vanja
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 207
  • [5] Fractional functional differential equations with causal operators in Banach spaces
    Agarwal, Ravi P.
    Zhou, Yong
    Wang, JinRong
    Luo, Xiannan
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (5-6) : 1440 - 1452
  • [7] The Fixed Point Approach to the Stability of Fractional Differential Equations with Causal Operators
    Jiang, Jingfei
    Cao, Dengqing
    Chen, Huatao
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2016, 15 (01) : 3 - 18
  • [8] The Fixed Point Approach to the Stability of Fractional Differential Equations with Causal Operators
    Jingfei Jiang
    Dengqing Cao
    Huatao Chen
    Qualitative Theory of Dynamical Systems, 2016, 15 : 3 - 18
  • [9] Semilinear fractional stochastic differential equations
    León, JA
    Tudor, C
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2002, 8 (02): : 205 - 226
  • [10] Neutral equations with causal operators
    Mahdavi, M
    INTEGRAL METHODS IN SCIENCE AND ENGINEERING, 2002, : 161 - 166