SEPARABLE LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS

被引:3
|
作者
Kolwankar, Kiran M. [1 ]
机构
[1] Ramniranjan Jhunjhunwala Coll, Dept Phys, Bombay 400086, Maharashtra, India
关键词
Local Fractional Derivative; Fractals; CALCULUS;
D O I
10.1142/S0218348X16500213
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The concept of local fractional derivative was introduced in order to be able to study the local scaling behavior of functions. However it has turned out to be much more useful. It was found that simple equations involving these operators naturally incorporate the fractal sets into the equations. Here, the scope of these equations has been extended further by considering different possibilities for the known function. We have also studied a separable local fractional differential equation along with its method of solution.
引用
收藏
页数:5
相关论文
共 50 条
  • [1] Exact local fractional differential equations
    Kolwankar, Kiran M.
    [J]. CHAOS SOLITONS & FRACTALS, 2021, 152
  • [2] NONLOCAL FRACTIONAL SEMILINEAR DIFFERENTIAL EQUATIONS IN SEPARABLE BANACH SPACES
    Li, Kexue
    Peng, Jigen
    Gao, Jinghuai
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
  • [3] On the Approximate Solutions of Local Fractional Differential Equations with Local Fractional Operators
    Jafari, Hossein
    Jassim, Hassan Kamil
    Tchier, Fairouz
    Baleanu, Dumitru
    [J]. ENTROPY, 2016, 18 (04)
  • [4] EXISTENCE OF MILD SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS IN SEPARABLE BANACH SPACE
    Jawahdou, Adel
    [J]. DIFFERENTIAL EQUATIONS & APPLICATIONS, 2015, 7 (04): : 489 - 501
  • [5] Undetermined coefficients for local fractional differential equations
    Khalil, Roshdi
    Al Horani, Mohammed
    Anderson, Douglas
    [J]. JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2016, 16 (02): : 140 - 146
  • [6] THE FRACTIONAL RESIDUAL METHOD FOR SOLVING THE LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS
    Yang, Yong-Ju
    [J]. THERMAL SCIENCE, 2020, 24 (04): : 2535 - 2542
  • [7] The RC Circuit Described by Local Fractional Differential Equations
    Zhao, Xiao-Hu
    Zhang, Yudong
    Zhao, Duan
    Yang, Xiaojun
    [J]. FUNDAMENTA INFORMATICAE, 2017, 151 (1-4) : 419 - 429
  • [8] On the Existence and Uniqueness of Solutions for Local Fractional Differential Equations
    Jafari, Hossein
    Jassim, Hassan Kamil
    Al Qurashi, Maysaa
    Baleanu, Dumitru
    [J]. ENTROPY, 2016, 18 (11)
  • [9] The operator method for local fractional linear differential equations
    Unal, Emrah
    Gokdogan, Ahmet
    Cumhur, Ishak
    [J]. OPTIK, 2017, 131 : 986 - 993
  • [10] Local Fuzzy Fractional Partial Differential Equations in the Realm of Fractal Calculus with Local Fractional Derivatives
    Osman, Mawia
    Marwan, Muhammad
    Shah, Syed Omar
    Loudahi, Lamia
    Samar, Mahvish
    Bittaye, Ebrima
    Mohammed Mustafa, Altyeb
    [J]. FRACTAL AND FRACTIONAL, 2023, 7 (12)