Dynamics and Stability Results for Hilfer Fractional Type Thermistor Problem

被引:16
作者
Vivek, D. [1 ]
Kanagarajan, K. [1 ]
Sivasundaram, Seenith [2 ]
机构
[1] Sri Ramakrishna Mission Vidyalaya Coll Arts & Sci, Dept Math, Coimbatore 641020, Tamil Nadu, India
[2] Embry Riddle Aeronaut Univ, Dept Math, Daytona Beach, FL 32114 USA
关键词
nonlocal thermistor problem; Hilfer fractional derivative; existence; Ulam stability; fixed point; DIFFERENTIAL-EQUATIONS; EXISTENCE; UNIQUENESS;
D O I
10.3390/fractalfract1010005
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the dynamics and stability of thermistor problem for Hilfer fractional type. Classical fixed point theorems are utilized in deriving the results.
引用
收藏
页码:1 / 14
页数:14
相关论文
共 34 条
  • [1] Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type
    Abbas, S.
    Benchohra, M.
    Lagreg, J. E.
    Alsaedi, A.
    Zhou, Y.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [2] Abbas S., 2016, Nonlinear Stud, V23, P627
  • [3] Ammi M. R. S, 2017, J KING SAUD U SCI
  • [4] Ammi MRS, 2012, DIFFER EQUAT APPL, V4, P267
  • [5] Optimal control of nonlocal thermistor equations
    Ammi, Moulay Rchid Sidi
    Torres, Delfim F. M.
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2012, 85 (11) : 1789 - 1801
  • [6] On the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions
    Andras, Sz.
    Kolumban, J. J.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 82 : 1 - 11
  • [7] Existence results for fractional order functional differential equations with infinite delay
    Benchohra, A.
    Henderson, J.
    Ntouyas, S. K.
    Ouahab, A.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (02) : 1340 - 1350
  • [8] Benchohra M., 2005, J PURE APPL ANAL, V1, P37, DOI [10.7603/s40956-015-0002-9, DOI 10.7603/S40956-015-0002-9]
  • [9] Existence and uniqueness for a problem involving Hilfer fractional derivative
    Furati, K. M.
    Kassim, M. D.
    Tatar, N. E-
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (06) : 1616 - 1626
  • [10] Furati KM, 2013, J DIFFER EQUATIONS, V2013, P235, DOI DOI 10.1186/1687-1847-2013-235