On the Fractional Difference Equations of Order (2,q)

被引:25
|
作者
Cheng, Jin-Fa [2 ]
Chu, Yu-Ming [1 ]
机构
[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China
[2] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1155/2011/497259
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper presents a kind of new definition of fractional difference, fractional summation, and fractional difference equations and gives methods for explicitly solving fractional difference equations of order (2,q).
引用
收藏
页数:16
相关论文
共 50 条
  • [1] On The Fractional Diffreence Equations of order (2,q)
    Cheng, Jinfa
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 580 - 587
  • [2] Fractional Order Difference Equations
    Mohan, J. Jagan
    Deekshitulu, G. V. S. R.
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 2012
  • [3] Fractional q-Difference Equations
    Ismail, Mourad
    Q-FRACTIONAL CALCULUS AND EQUATIONS, 2012, 2056 : 223 - 270
  • [4] On the oscillation of q-fractional difference equations
    Bahaaeldin Abdalla
    Advances in Difference Equations, 2017
  • [5] On the oscillation of q-fractional difference equations
    Abdalla, Bahaaeldin
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [6] On nonlocal fractional q-integral boundary value problems of fractional q-difference and fractional q-integrodifference equations involving different numbers of order and q
    Thanin Sitthiwirattham
    Boundary Value Problems, 2016
  • [7] The Order of Convergence of Difference Schemes for Fractional Equations
    Liu, Ru
    Li, Miao
    Piskarev, Sergey
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (06) : 754 - 769
  • [8] On nonlocal fractional q-integral boundary value problems of fractional q-difference and fractional q-integrodifference equations involving different numbers of order and q
    Sitthiwirattham, Thanin
    BOUNDARY VALUE PROBLEMS, 2016, : 1 - 19
  • [9] Cauchy problem for fractional (p, q)-difference equations
    Boutiara, Abdelatif
    Rhaima, Mohamed
    Mchiri, Lassaad
    Ben Makhlouf, Abdellatif
    AIMS MATHEMATICS, 2023, 8 (07): : 15773 - 15788
  • [10] Existence of solutions for fractional q-difference equations
    Ulke, Oykum
    Topal, Fatma Serap
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2023, 68 (03): : 573 - 591